1 00:00:00,000 --> 00:00:00,016 The following content is provided under a Creative 2 00:00:00,016 --> 00:00:00,022 Commons license. 3 00:00:00,022 --> 00:00:00,038 Your support will help MIT OpenCourseWare continue to 4 00:00:00,038 --> 00:00:00,054 offer high quality educational resources for free. 5 00:00:00,054 --> 00:00:00,072 To make a donation or view additional materials from 6 00:00:00,072 --> 00:00:00,088 hundreds of MIT courses, visit MIT OpenCourseWare at 7 00:00:00,088 --> 00:00:00,110 ocw.mit.edu. 8 00:00:00,110 --> 00:00:24,010 PROFESSOR: OK, let's get started. 9 00:00:24,010 --> 00:00:27,260 Everyone can go ahead and take 10 more seconds on today's 10 00:00:27,260 --> 00:00:29,340 clicker question. 11 00:00:29,340 --> 00:00:32,580 This is about hybridization, which we will go over more to 12 00:00:32,580 --> 00:00:34,440 start today, but just to see where we are 13 00:00:34,440 --> 00:00:40,280 as a starting point. 14 00:00:40,280 --> 00:00:40,990 All right, great. 15 00:00:40,990 --> 00:00:42,170 So most of you got this. 16 00:00:42,170 --> 00:00:46,490 The question is what was the hybridization of an atom if we 17 00:00:46,490 --> 00:00:47,950 know that it has two hybrid orbitals. 18 00:00:47,950 --> 00:00:50,630 This is really, really important, so I'm just going 19 00:00:50,630 --> 00:00:53,770 to write this out for that 20% of you that didn't see this 20 00:00:53,770 --> 00:00:54,870 right away. 21 00:00:54,870 --> 00:00:57,700 So we know that when we have hybrid orbitals that come from 22 00:00:57,700 --> 00:01:01,540 s and p orbitals, these are our atomic orbitals we have to 23 00:01:01,540 --> 00:01:03,420 choose from to hybridize. 24 00:01:03,420 --> 00:01:06,420 So if we know, for example, that we need two hybrid 25 00:01:06,420 --> 00:01:09,340 orbitals, that means we needed to have started with two 26 00:01:09,340 --> 00:01:11,310 atomic orbitals. 27 00:01:11,310 --> 00:01:15,550 So that means what we would form are two s p hybrid 28 00:01:15,550 --> 00:01:18,730 orbitals and we'd be left with our other two p 29 00:01:18,730 --> 00:01:19,910 orbitals left over. 30 00:01:19,910 --> 00:01:22,560 So any time you figure out that you're going to need two 31 00:01:22,560 --> 00:01:25,210 hybrid orbitals, and we'll go over when you would find this 32 00:01:25,210 --> 00:01:28,190 out in just a minute, but any time that happens you know it 33 00:01:28,190 --> 00:01:30,980 has to come from an s and a p, so that's why you'll end up 34 00:01:30,980 --> 00:01:33,620 with s p hybrid orbitals there. 35 00:01:33,620 --> 00:01:36,780 And exam 2 is happening in just one week from today, so 36 00:01:36,780 --> 00:01:38,050 next Wednesday. 37 00:01:38,050 --> 00:01:40,780 The semester moves really fast. So I can't believe we're 38 00:01:40,780 --> 00:01:43,550 already up to exam 2 talk, but we are. 39 00:01:43,550 --> 00:01:47,060 So, you should have all received two handouts when you 40 00:01:47,060 --> 00:01:50,340 walked in today, your notes and then an exam 2 info sheet. 41 00:01:50,340 --> 00:01:52,500 Did everybody get that? 42 00:01:52,500 --> 00:01:55,400 If you didn't get it, just raise your hand and a TA will 43 00:01:55,400 --> 00:01:56,380 come to you with that. 44 00:01:56,380 --> 00:02:00,310 I see there's a few around, if one of the TA's can jump up 45 00:02:00,310 --> 00:02:01,590 and fill those in. 46 00:02:01,590 --> 00:02:04,510 All right, so basically, as with exam 1, all the 47 00:02:04,510 --> 00:02:06,530 information you need to know about what's going to be on 48 00:02:06,530 --> 00:02:08,520 exam 2 is on this handout. 49 00:02:08,520 --> 00:02:10,420 Specifically exam 2 is going to cover 50 00:02:10,420 --> 00:02:12,990 lectures 10 through 17. 51 00:02:12,990 --> 00:02:16,470 Today is lecture 16, so that means it's going to cover 52 00:02:16,470 --> 00:02:19,900 today's lecture and then a bit into Friday's lecture as well, 53 00:02:19,900 --> 00:02:22,590 so I'll be really clear on Friday where exam 2 material 54 00:02:22,590 --> 00:02:26,480 ends, where you can kind of switch off the exam 2 part of 55 00:02:26,480 --> 00:02:27,850 your studying. 56 00:02:27,850 --> 00:02:30,640 And it will also be on problem-sets 4 and 5. 57 00:02:30,640 --> 00:02:33,000 So it's going to be on two problem-sets instead of three 58 00:02:33,000 --> 00:02:35,270 problem-sets, but as you know, there are a lot of different 59 00:02:35,270 --> 00:02:37,690 concepts covered in these two problem-sets. 60 00:02:37,690 --> 00:02:40,150 So it's still a lot to be thinking about and you need to 61 00:02:40,150 --> 00:02:42,520 make sure that you really understand all of these 62 00:02:42,520 --> 00:02:43,780 different concepts. 63 00:02:43,780 --> 00:02:46,520 So this is explicitly listed in this sheet here, so make 64 00:02:46,520 --> 00:02:47,300 sure you look it over. 65 00:02:47,300 --> 00:02:50,580 But I just want to say is well, the concepts that we've 66 00:02:50,580 --> 00:02:54,940 covered since exam 1 have been talking about covalent bonds, 67 00:02:54,940 --> 00:02:57,530 going along with that are all the Lewis structures that 68 00:02:57,530 --> 00:02:58,610 we've done. 69 00:02:58,610 --> 00:03:00,950 Then we talked about ionic bonds, so you need to make 70 00:03:00,950 --> 00:03:04,390 sure you can solve those ionic bond problems. And then we 71 00:03:04,390 --> 00:03:07,500 started talking about different types of bonding in 72 00:03:07,500 --> 00:03:10,690 terms of thinking about MO theory, and also vesper theory 73 00:03:10,690 --> 00:03:12,050 and hybridization. 74 00:03:12,050 --> 00:03:14,870 And then today, and a little bit on Friday, you'll be 75 00:03:14,870 --> 00:03:17,340 responsible for some of this new material, which is going 76 00:03:17,340 --> 00:03:19,360 to be a little bit of thermochemistry. 77 00:03:19,360 --> 00:03:23,490 Not too much on exam 2, most of that will be saved for exam 78 00:03:23,490 --> 00:03:25,940 3 material, but an intro to thermochemistry, that will 79 00:03:25,940 --> 00:03:30,300 also be on the exam, just as far as these two lectures. 80 00:03:30,300 --> 00:03:33,060 So, basically this is all written out here, and I also 81 00:03:33,060 --> 00:03:36,100 want to mention in terms of your MO diagrams and MO 82 00:03:36,100 --> 00:03:39,090 theory, I sent out an email about this, but I also wrote 83 00:03:39,090 --> 00:03:42,160 it out here so you have it written down in terms of what 84 00:03:42,160 --> 00:03:45,450 you are responsible for in terms of ordering the energy 85 00:03:45,450 --> 00:03:47,770 levels of molecular orbitals. 86 00:03:47,770 --> 00:03:50,470 So that's all written down explicitly right here, this is 87 00:03:50,470 --> 00:03:52,920 what you need to know for the exam. 88 00:03:52,920 --> 00:03:56,190 Also it's helpful for the problem-set as well. 89 00:03:56,190 --> 00:03:59,845 And also, in terms of MO diagrams, I think that you 90 00:03:59,845 --> 00:04:02,880 will already gone over this pretty explicitly either last 91 00:04:02,880 --> 00:04:05,780 week in recitation or yesterday, in terms of what 92 00:04:05,780 --> 00:04:08,120 you need to do to get full credit when you're actually 93 00:04:08,120 --> 00:04:09,850 drawing an MO diagram. 94 00:04:09,850 --> 00:04:12,300 Just in case you don't have that information or you didn't 95 00:04:12,300 --> 00:04:15,240 write it down, I wrote this down for you here as well in 96 00:04:15,240 --> 00:04:17,610 terms of things like making sure to draw your energy 97 00:04:17,610 --> 00:04:19,580 arrows, or remembering to label all 98 00:04:19,580 --> 00:04:20,950 of your atomic orbitals. 99 00:04:20,950 --> 00:04:23,250 We don't want anyone getting points off on the exam for 100 00:04:23,250 --> 00:04:25,420 doing something silly where they do understand what's 101 00:04:25,420 --> 00:04:27,380 going on, but they're just not writing it 102 00:04:27,380 --> 00:04:28,280 in the correct form. 103 00:04:28,280 --> 00:04:31,240 So all this information is on your sheet here. 104 00:04:31,240 --> 00:04:33,650 And also on this sheet mentions that you will be 105 00:04:33,650 --> 00:04:36,680 getting optional extra problems on Friday. 106 00:04:36,680 --> 00:04:38,720 This is just like for exam 1. 107 00:04:38,720 --> 00:04:41,320 The way that you should approach these extra problems, 108 00:04:41,320 --> 00:04:44,000 you don't need to turn them in, you're not required to do 109 00:04:44,000 --> 00:04:46,610 them, but if you want to do well on the exam we really, 110 00:04:46,610 --> 00:04:49,490 really encourage that you do these problems. And in terms 111 00:04:49,490 --> 00:04:52,330 of having it be worth your time when you're solving these 112 00:04:52,330 --> 00:04:54,430 problems, what you want to do is make sure you're at the 113 00:04:54,430 --> 00:04:56,890 point where you can put your notes away, where you can sit 114 00:04:56,890 --> 00:04:58,950 alone without your friends, and really approach these 115 00:04:58,950 --> 00:05:02,460 extra problems as if they're exam problems. This way if 116 00:05:02,460 --> 00:05:05,050 there's some conceptual leap that you haven't quite made 117 00:05:05,050 --> 00:05:07,230 yet, but you don't realize it because you've been using your 118 00:05:07,230 --> 00:05:09,830 notes or using the conversations with your 119 00:05:09,830 --> 00:05:12,960 friends, you want to make that leap and run into those 120 00:05:12,960 --> 00:05:16,270 problems alone in your room when you have two hours to 121 00:05:16,270 --> 00:05:16,860 figure it out. 122 00:05:16,860 --> 00:05:19,140 You don't want to do this leap on an exam. 123 00:05:19,140 --> 00:05:20,970 That's not the ideal situation. 124 00:05:20,970 --> 00:05:23,170 So especially with Lewis structures where sometimes you 125 00:05:23,170 --> 00:05:25,520 can run into confusions that you need to work through and 126 00:05:25,520 --> 00:05:27,870 make sure it all makes sense in terms of your head how to 127 00:05:27,870 --> 00:05:31,250 do this, make sure you take the time to do that before the 128 00:05:31,250 --> 00:05:34,520 exam and don't have to end up struggling with that on the 129 00:05:34,520 --> 00:05:36,560 exam in a time situation. 130 00:05:36,560 --> 00:05:40,290 All right, so the extra problem solutions will be 131 00:05:40,290 --> 00:05:41,800 posted on Sunday. 132 00:05:41,800 --> 00:05:44,870 And in terms of office hours for next week, my office hours 133 00:05:44,870 --> 00:05:48,020 are going to be on Monday from 2 to 4, I'm moving them up, 134 00:05:48,020 --> 00:05:50,640 and your TAs will move up their office hours as well, so 135 00:05:50,640 --> 00:05:54,330 check with them in recitation or on the website. 136 00:05:54,330 --> 00:05:57,410 So that's pretty much it for exam 2. 137 00:05:57,410 --> 00:06:00,865 Are there any questions about what you're responsible for or 138 00:06:00,865 --> 00:06:05,220 anything regarding exam 2? 139 00:06:05,220 --> 00:06:07,740 OK, and in terms of the room it's in Walker again, so at 140 00:06:07,740 --> 00:06:09,150 least this part should be familiar. 141 00:06:09,150 --> 00:06:11,500 You'll be used to going to your row, it'll be the same 142 00:06:11,500 --> 00:06:14,090 row, it's all written here again, but you can just do 143 00:06:14,090 --> 00:06:16,730 exactly what you did for exam 1. 144 00:06:16,730 --> 00:06:19,830 All right, so one last class announcement, and this is that 145 00:06:19,830 --> 00:06:23,920 if you've been looking at our first sheet of the whole year, 146 00:06:23,920 --> 00:06:26,960 sort of the course overview sheet, you know that our class 147 00:06:26,960 --> 00:06:30,980 in terms of grading is out of 750 points, and 50 of those 148 00:06:30,980 --> 00:06:33,810 points are for attendance and something called occasional 149 00:06:33,810 --> 00:06:35,920 in-class quizzes. 150 00:06:35,920 --> 00:06:38,400 So what we're going to do is start filling in some of those 151 00:06:38,400 --> 00:06:41,990 points because we only have 36 classes worth of attendance. 152 00:06:41,990 --> 00:06:44,240 So we have a couple of points to make up in terms of 153 00:06:44,240 --> 00:06:47,170 quizzes, and these are going to be clicker quizzes, and let 154 00:06:47,170 --> 00:06:48,980 me explain how this is going to work. 155 00:06:48,980 --> 00:06:53,000 Basically, in at least for my part of the class, what we're 156 00:06:53,000 --> 00:06:55,050 going to do, because what I really care about is that 157 00:06:55,050 --> 00:06:57,670 people are answering the clicker questions, it's really 158 00:06:57,670 --> 00:06:58,600 valuable for me. 159 00:06:58,600 --> 00:07:01,700 I don't necessarily care if you get them right or wrong 160 00:07:01,700 --> 00:07:03,810 during class, because this is the point at which you're 161 00:07:03,810 --> 00:07:05,030 still learning them. 162 00:07:05,030 --> 00:07:08,070 So these quiz points, which could be up to 2 points per 163 00:07:08,070 --> 00:07:11,160 class, will be in addition to attendance points, and you'll 164 00:07:11,160 --> 00:07:13,870 get full credit if you answer the quiz question. 165 00:07:13,870 --> 00:07:17,100 So you need to be answering the questions because the 166 00:07:17,100 --> 00:07:18,630 quizzes will not be announced. 167 00:07:18,630 --> 00:07:21,330 So this is another reward for people that are always 168 00:07:21,330 --> 00:07:22,410 participating. 169 00:07:22,410 --> 00:07:25,090 These clicker questions are really valuable to us in terms 170 00:07:25,090 --> 00:07:27,400 of the feedback, it really gives me an idea of where the 171 00:07:27,400 --> 00:07:28,790 class is as a whole. 172 00:07:28,790 --> 00:07:32,900 So really, it's important that you are answering these 173 00:07:32,900 --> 00:07:36,340 questions and this is a way to get your quiz points up, so in 174 00:07:36,340 --> 00:07:38,620 addition to attendance, you'll get 2 quiz points. 175 00:07:38,620 --> 00:07:40,840 We'll have our first unannounced quiz today, so you 176 00:07:40,840 --> 00:07:43,970 won't know what problem it is beforehand, so I suggest you 177 00:07:43,970 --> 00:07:46,530 make sure you're answering all the clicker questions, which 178 00:07:46,530 --> 00:07:48,040 most of you do anyway. 179 00:07:48,040 --> 00:07:50,630 And I will just say I recognize that some of you are 180 00:07:50,630 --> 00:07:53,440 just scurrying across campus to get here on time. 181 00:07:53,440 --> 00:07:55,960 So I'll never make that first question a quiz question, 182 00:07:55,960 --> 00:07:58,660 because I know how hard it is to get from one place to 183 00:07:58,660 --> 00:08:01,280 another on this campus, and I know most of you do a great 184 00:08:01,280 --> 00:08:04,280 job of sneaking in right at the last minute when you have 185 00:08:04,280 --> 00:08:04,890 that long run. 186 00:08:04,890 --> 00:08:07,390 So we won't make the first question a quiz question, but 187 00:08:07,390 --> 00:08:10,930 be on the look out for a quiz question today. 188 00:08:10,930 --> 00:08:11,290 All right. 189 00:08:11,290 --> 00:08:14,170 So let's get to today's topic. 190 00:08:14,170 --> 00:08:17,490 We're going to finish talking about valence bond theory and 191 00:08:17,490 --> 00:08:19,200 hybridization. 192 00:08:19,200 --> 00:08:22,870 So what we've already done is really cover all the theory 193 00:08:22,870 --> 00:08:25,440 that we're going to cover behind how hybridization 194 00:08:25,440 --> 00:08:28,660 works, and behind how valence bond theory works. 195 00:08:28,660 --> 00:08:31,410 But what we haven't covered is how do we actually solve 196 00:08:31,410 --> 00:08:33,710 problems doing this in the really quick way. 197 00:08:33,710 --> 00:08:34,730 So we're going to do that. 198 00:08:34,730 --> 00:08:36,940 This is going to be a more practical lesson in 199 00:08:36,940 --> 00:08:38,130 hybridization. 200 00:08:38,130 --> 00:08:41,170 And once we do that, we'll move on to now talking about 201 00:08:41,170 --> 00:08:44,000 energies and enthalpies of chemical reactions. 202 00:08:44,000 --> 00:08:45,250 So this is a real shift. 203 00:08:45,250 --> 00:08:48,090 We spent a while talking about single atoms, and then we've 204 00:08:48,090 --> 00:08:51,290 spent most of the material, since exam 1, 205 00:08:51,290 --> 00:08:52,850 talking about bonding. 206 00:08:52,850 --> 00:08:54,750 So now we're taking it one step further and we're going 207 00:08:54,750 --> 00:08:57,010 to actually get to talk about some chemical reactions. 208 00:08:57,010 --> 00:08:59,290 So we'll do that once we finish up with our 209 00:08:59,290 --> 00:09:00,840 hybridization unit here. 210 00:09:00,840 --> 00:09:04,490 All right, so how do we go about determining 211 00:09:04,490 --> 00:09:07,140 hybridization in complex molecules? 212 00:09:07,140 --> 00:09:10,780 It's actually incredibly simple, and all that you need 213 00:09:10,780 --> 00:09:13,930 to do is think about for the given atom that you're looking 214 00:09:13,930 --> 00:09:17,230 at, what you want to do is add up the number of atoms that 215 00:09:17,230 --> 00:09:19,460 are bonded to your central atom, or the atom you're 216 00:09:19,460 --> 00:09:23,260 considering, and add to that the number of lone pairs. 217 00:09:23,260 --> 00:09:25,710 And what you end up with is the number of hybrid orbitals 218 00:09:25,710 --> 00:09:26,650 that you need. 219 00:09:26,650 --> 00:09:29,760 All right, so the theory behind hybridization and 220 00:09:29,760 --> 00:09:31,910 picturing everything, that can be pretty complicated, and I 221 00:09:31,910 --> 00:09:33,470 do want you to understand that. 222 00:09:33,470 --> 00:09:36,630 But if, for example, on an exam situation, you don't 223 00:09:36,630 --> 00:09:38,520 necessarily have to think through everything, you can 224 00:09:38,520 --> 00:09:40,930 just use this very quick way to figure out the number of 225 00:09:40,930 --> 00:09:42,830 hybrid orbitals that you need. 226 00:09:42,830 --> 00:09:47,450 And what we just said is that any time we need two hybrid 227 00:09:47,450 --> 00:09:54,990 orbitals, we know that the hybridization of that atom is 228 00:09:54,990 --> 00:09:57,380 going to be s p, because it's made up of 229 00:09:57,380 --> 00:09:59,970 one s and one p orbital. 230 00:09:59,970 --> 00:10:02,140 So let's say we need three hybrid orbitals. 231 00:10:02,140 --> 00:10:06,910 What is our hybridization of our atom in this case? 232 00:10:06,910 --> 00:10:09,440 Yeah, it's s p 2. 233 00:10:09,440 --> 00:10:14,100 We want to take three atomic orbitals to make three hybrid 234 00:10:14,100 --> 00:10:16,720 orbitals, so it's going to be s p 2. 235 00:10:16,720 --> 00:10:19,290 So what if we need four hybrid orbitals, what's the 236 00:10:19,290 --> 00:10:20,940 hybridization going to be in this case? 237 00:10:20,940 --> 00:10:23,240 STUDENT: S p 3. 238 00:10:23,240 --> 00:10:25,440 PROFESSOR: S p 3. 239 00:10:25,440 --> 00:10:25,890 All right, great. 240 00:10:25,890 --> 00:10:26,360 So, really that's it. 241 00:10:26,360 --> 00:10:29,450 Hopefully hybridization just got a lot simpler for any of 242 00:10:29,450 --> 00:10:31,810 you that have been struggling a little bit with it. 243 00:10:31,810 --> 00:10:34,700 But let's go ahead and do an example to make sure that we 244 00:10:34,700 --> 00:10:35,970 can all do this. 245 00:10:35,970 --> 00:10:38,450 And let's take a look -- first let me mention 246 00:10:38,450 --> 00:10:39,810 an exception here. 247 00:10:39,810 --> 00:10:43,900 The one exception to thinking about how many hybrid orbitals 248 00:10:43,900 --> 00:10:47,300 that you have are in the case where you have single bonded 249 00:10:47,300 --> 00:10:51,150 terminal atoms. So in the case of a terminal atom that is a 250 00:10:51,150 --> 00:10:53,730 single bond, you're not going to hybridize it. 251 00:10:53,730 --> 00:10:56,500 So in that case, just don't even change anything it's just 252 00:10:56,500 --> 00:10:58,630 going to be one of the p orbitals, or unless you're 253 00:10:58,630 --> 00:11:00,900 talking about hydrogen in which case will be an s 254 00:11:00,900 --> 00:11:02,890 orbital that overlaps. 255 00:11:02,890 --> 00:11:05,520 All right, so we can illustrate this with an 256 00:11:05,520 --> 00:11:08,250 example of formal chloride. 257 00:11:08,250 --> 00:11:10,600 So this is a good example because we're just dealing 258 00:11:10,600 --> 00:11:14,110 with our carbon as our central atom here, and we have three 259 00:11:14,110 --> 00:11:17,750 terminal atoms, two of which are single bonded, so we're 260 00:11:17,750 --> 00:11:21,800 not going to hybridize those, and one which is double 261 00:11:21,800 --> 00:11:25,100 bonded, the oxygen, so we will hybridize that one. 262 00:11:25,100 --> 00:11:27,540 So in terms of thinking about the carbon, what is a 263 00:11:27,540 --> 00:11:29,560 hybridization around the carbon atom? 264 00:11:29,560 --> 00:11:34,730 STUDENT: [INAUDIBLE] 265 00:11:34,730 --> 00:11:36,360 PROFESSOR: All right, I'm hearing some mixed answers. 266 00:11:36,360 --> 00:11:37,070 So let's think. 267 00:11:37,070 --> 00:11:41,570 So the carbon atom is bonded to three different atoms, and 268 00:11:41,570 --> 00:11:43,090 it has no lone pairs. 269 00:11:43,090 --> 00:11:43,870 So what's the hybridization? 270 00:11:43,870 --> 00:11:46,570 STUDENT: S p 2. 271 00:11:46,570 --> 00:11:47,890 PROFESSOR: Good s p 2. 272 00:11:47,890 --> 00:11:50,430 So, if we're talking about the c h bond, we're going to say 273 00:11:50,430 --> 00:11:54,240 that it's carbon, it's a sigma bond because it's a single 274 00:11:54,240 --> 00:11:57,600 bond, and then it's carbon 2 s p 2 bonded to a 275 00:11:57,600 --> 00:11:59,080 hydrogen 1 s orbital. 276 00:11:59,080 --> 00:12:02,060 All right, so let's take a look at the carbon 277 00:12:02,060 --> 00:12:03,660 chlorine bond here. 278 00:12:03,660 --> 00:12:08,850 Again, carbon is still 2 s p 2, it's the same carbon atom, 279 00:12:08,850 --> 00:12:11,420 and it's going to be a sigma bond because it's a single 280 00:12:11,420 --> 00:12:14,120 bond, but what about the chlorine, what atomic orbital 281 00:12:14,120 --> 00:12:15,890 is going to be bonding in the chlorine? 282 00:12:15,890 --> 00:12:16,526 STUDENT: [INAUDIBLE] 283 00:12:16,526 --> 00:12:17,480 PROFESSOR: All right. 284 00:12:17,480 --> 00:12:21,670 I'm hearing a little bit of mixes, they're all p's, which 285 00:12:21,670 --> 00:12:22,730 is a good start. 286 00:12:22,730 --> 00:12:26,780 It turns out that it's going to be the chlorine 3 p z. 287 00:12:26,780 --> 00:12:29,570 So the reason that it's p is because we're not hybridizing 288 00:12:29,570 --> 00:12:32,990 it, and the reason that I specifically say that it's the 289 00:12:32,990 --> 00:12:36,760 p z instead of the p x or the p y, is remember that the 290 00:12:36,760 --> 00:12:39,960 z-axis, that's our bonding axis, that's our 291 00:12:39,960 --> 00:12:41,270 internuclear axis. 292 00:12:41,270 --> 00:12:44,280 So any time we have a p orbital that's involved in a 293 00:12:44,280 --> 00:12:47,510 sigma bond, it has to be the z orbital because that's the 294 00:12:47,510 --> 00:12:50,570 only one that has the right orientation to overlap along 295 00:12:50,570 --> 00:12:52,090 that z-axis. 296 00:12:52,090 --> 00:12:55,940 So we're going to say it's carbon s p 2, and then 297 00:12:55,940 --> 00:12:57,700 chlorine 3 p z. 298 00:12:57,700 --> 00:13:02,850 All right, so let's look at the last bond here, which is a 299 00:13:02,850 --> 00:13:04,980 carbon oxygen double bond. 300 00:13:04,980 --> 00:13:07,760 We know that any time we have a double bond it's made up of 301 00:13:07,760 --> 00:13:10,910 one sigma bond plus one pi bond. 302 00:13:10,910 --> 00:13:14,710 So, when we look at the carbon again, that's 2 s p 2. 303 00:13:14,710 --> 00:13:17,170 But what about the oxygen, what's the hybridization of 304 00:13:17,170 --> 00:13:20,490 this oxygen atom? 305 00:13:20,490 --> 00:13:22,790 S p 2. 306 00:13:22,790 --> 00:13:26,270 So we're going to have carbon 2 s p 2, and then 307 00:13:26,270 --> 00:13:28,060 oxygen 2 s p 2. 308 00:13:28,060 --> 00:13:32,590 It's s p 2 because the oxygen is bonded to one atom plus two 309 00:13:32,590 --> 00:13:34,000 lone pairs, so we're going to have a total of 310 00:13:34,000 --> 00:13:35,060 three hybrid orbitals. 311 00:13:35,060 --> 00:13:38,260 All right, so this is not our only bond, we have a double 312 00:13:38,260 --> 00:13:40,990 bond, so we also need to talk about the pi bond. 313 00:13:40,990 --> 00:13:44,270 So if we talk about the pi bond, we can say that's carbon 314 00:13:44,270 --> 00:13:47,100 2 p y, then the oxygen 2 p y. 315 00:13:47,100 --> 00:13:49,910 We could alternatively say, and be correct, that it was 316 00:13:49,910 --> 00:13:52,840 the carbon 2 p x and the oxygen 2 p x. 317 00:13:52,840 --> 00:13:54,240 Either one of those is fine. 318 00:13:54,240 --> 00:13:57,920 All right, so that's an example of how we can assign 319 00:13:57,920 --> 00:14:01,000 very quickly and very easily what the hybridization is of a 320 00:14:01,000 --> 00:14:02,290 given atom. 321 00:14:02,290 --> 00:14:05,890 And then also fully describe the symmetry and the atomic or 322 00:14:05,890 --> 00:14:08,120 hybrid orbitals that make up bonds. 323 00:14:08,120 --> 00:14:10,600 So this is a lot of your problems on the p-set, so if 324 00:14:10,600 --> 00:14:12,700 you haven't finished that section, hopefully you'll be 325 00:14:12,700 --> 00:14:15,260 able to get through that section pretty quickly when 326 00:14:15,260 --> 00:14:16,470 you go back to it. 327 00:14:16,470 --> 00:14:19,650 And let's take a look at a little bit of a more complex 328 00:14:19,650 --> 00:14:23,040 molecule here, which is ascorbic acid or vitamin C. 329 00:14:23,040 --> 00:14:25,740 And this is a good example because it's starting to look 330 00:14:25,740 --> 00:14:28,910 a little more complicated, but not too much more complicated. 331 00:14:28,910 --> 00:14:32,070 But the reality is if you know how to do assigning the 332 00:14:32,070 --> 00:14:35,950 hybridization this way, even if I gave you a 1,000 atom 333 00:14:35,950 --> 00:14:37,420 protein, you should still be able to get 334 00:14:37,420 --> 00:14:39,330 it completely correct. 335 00:14:39,330 --> 00:14:42,280 Vitamin C is a really important molecule to actually 336 00:14:42,280 --> 00:14:44,780 think about in terms of thinking about its shape and 337 00:14:44,780 --> 00:14:45,260 its hybridization. 338 00:14:45,260 --> 00:14:48,180 Vitamin C is an antoxidant. 339 00:14:48,180 --> 00:14:50,780 So we might remember that from when we were talking about 340 00:14:50,780 --> 00:14:52,040 free radicals. 341 00:14:52,040 --> 00:14:54,450 Free radicals can cause oxidative damage. 342 00:14:54,450 --> 00:14:57,080 These antioxidants, some of our vitamins, including 343 00:14:57,080 --> 00:14:59,300 vitamin C are antioxidants. 344 00:14:59,300 --> 00:15:01,500 So that's something that a lot of people in the general 345 00:15:01,500 --> 00:15:04,760 population know if they're into their health. 346 00:15:04,760 --> 00:15:07,960 But another really important thing about ascorbic acid is 347 00:15:07,960 --> 00:15:10,870 that it's an enzyme cofactor. 348 00:15:10,870 --> 00:15:15,160 And a cofactor just means that it's some type of molecule or 349 00:15:15,160 --> 00:15:18,070 atom, in this case it's a molecule, that's required by 350 00:15:18,070 --> 00:15:19,990 an enzyme in order for the enzyme to 351 00:15:19,990 --> 00:15:21,670 carry out its chemistry. 352 00:15:21,670 --> 00:15:24,990 And the chemistry that the enzymes that vitamin C are a 353 00:15:24,990 --> 00:15:28,700 cofactor for are responsible for putting oxygen, o h 354 00:15:28,700 --> 00:15:32,350 groups, onto collagen molecules in order to form 355 00:15:32,350 --> 00:15:35,100 what is the collagen triple helix. 356 00:15:35,100 --> 00:15:38,790 And collagen is the main constituent of bones, of 357 00:15:38,790 --> 00:15:44,070 joints, of connective tissue, of many important structural 358 00:15:44,070 --> 00:15:45,140 parts of our bodies. 359 00:15:45,140 --> 00:15:47,700 So you can imagine that vitamin C is very important 360 00:15:47,700 --> 00:15:49,960 because we need to keep our collagen intact. 361 00:15:49,960 --> 00:15:52,460 Collogen is actually one of the most prevalent proteins in 362 00:15:52,460 --> 00:15:56,790 our entire body, and it makes up a large part of our cells. 363 00:15:56,790 --> 00:15:59,960 So you can imagine if we don't have collagen that is in this 364 00:15:59,960 --> 00:16:02,910 triple helix, we're going to run into some problems. Does 365 00:16:02,910 --> 00:16:05,430 anyone, or I'm sure many of you do know, but can someone 366 00:16:05,430 --> 00:16:07,840 tell me what the name is of the disease if you have a 367 00:16:07,840 --> 00:16:09,410 deficiency in vitamin C? 368 00:16:09,410 --> 00:16:10,560 STUDENT: Scurvy. 369 00:16:10,560 --> 00:16:12,630 PROFESSOR: Yeah, scurvy. 370 00:16:12,630 --> 00:16:17,330 So scurvy, most often associated with ships because 371 00:16:17,330 --> 00:16:23,400 of the 1500's and 1600's and 1700's when boating technology 372 00:16:23,400 --> 00:16:27,330 was far above biochemistry technology, so people could 373 00:16:27,330 --> 00:16:29,890 make ships and go on these long journeys, but people did 374 00:16:29,890 --> 00:16:33,190 not yet understand they needed to keep certain vitamins in 375 00:16:33,190 --> 00:16:36,720 their bodies, such as vitamin C. Maybe also, they didn't 376 00:16:36,720 --> 00:16:38,690 know about -- well they didn't even have the structure, so 377 00:16:38,690 --> 00:16:41,390 they couldn't have realized that vitamin C is polar and 378 00:16:41,390 --> 00:16:43,460 won't stay in their bodies for very long, it will get 379 00:16:43,460 --> 00:16:45,230 excreted out through their urine. 380 00:16:45,230 --> 00:16:47,960 So they were not thinking about how quickly they could 381 00:16:47,960 --> 00:16:50,590 run into trouble in the long sea voyages. 382 00:16:50,590 --> 00:16:54,360 And I don't know how many of you had a unit on explorers in 383 00:16:54,360 --> 00:16:55,610 elementary school -- 384 00:16:55,610 --> 00:16:58,500 I did in fifth grade, and one that always sticks in my head 385 00:16:58,500 --> 00:17:02,245 is Magellan's trip around the world, who led the first fleet 386 00:17:02,245 --> 00:17:03,790 of ships around the globe. 387 00:17:03,790 --> 00:17:07,310 What they did not mention to us in fifth grade was that 90% 388 00:17:07,310 --> 00:17:10,020 of his men died on that journey. 389 00:17:10,020 --> 00:17:14,030 And I understand we were young kids, I didn't want to know 390 00:17:14,030 --> 00:17:16,510 that at the time, but it's interesting and it's really 391 00:17:16,510 --> 00:17:18,460 important, and the reason for many of 392 00:17:18,460 --> 00:17:19,470 these deaths was scurvy. 393 00:17:19,470 --> 00:17:22,350 And it's totally preventable. 394 00:17:22,350 --> 00:17:25,420 And, in fact, the cure for scurvy, which is as simple as 395 00:17:25,420 --> 00:17:29,970 taking vitamin C in any form, was known for -- since the 396 00:17:29,970 --> 00:17:32,930 fifth century people started figuring this out, but the 397 00:17:32,930 --> 00:17:36,420 problem was there was so much false information as well that 398 00:17:36,420 --> 00:17:39,530 it was not a general practice on ships to be treating men 399 00:17:39,530 --> 00:17:42,000 that were suffering with vitamin C or using it as any 400 00:17:42,000 --> 00:17:43,790 kind of preventative measure. 401 00:17:43,790 --> 00:17:45,940 The other somewhat interesting thing I want to say about 402 00:17:45,940 --> 00:17:49,040 vitamin C is that it was part of the first ever published 403 00:17:49,040 --> 00:17:50,520 clinical study. 404 00:17:50,520 --> 00:17:53,270 And this was a controlled clinical study that was done 405 00:17:53,270 --> 00:17:56,790 in the 1700's, the first one that's ever been reported, and 406 00:17:56,790 --> 00:17:59,700 not surprisingly it was done on a ship and it was done by 407 00:17:59,700 --> 00:18:02,520 James Lind who was a Scottish naval surgeon. 408 00:18:02,520 --> 00:18:05,260 And basically, he took 12 of his men, so this was not a 409 00:18:05,260 --> 00:18:08,800 very large clinical study like they do today, but he took 12 410 00:18:08,800 --> 00:18:11,680 men that were suffering from scurvy, and he gave them a 411 00:18:11,680 --> 00:18:15,300 diet mostly of just carbohydrate mush, because 412 00:18:15,300 --> 00:18:17,860 when you have scurvy, one of the first signs is bleeding 413 00:18:17,860 --> 00:18:19,540 gums and teeth falling out, they couldn't 414 00:18:19,540 --> 00:18:20,580 really eat too much. 415 00:18:20,580 --> 00:18:22,570 But he supplemented their diet. 416 00:18:22,570 --> 00:18:24,550 He put them in pairs of two and 417 00:18:24,550 --> 00:18:26,980 supplemented with 1 of 6 things. 418 00:18:26,980 --> 00:18:29,900 So two of them got a pint of cider a day 419 00:18:29,900 --> 00:18:31,580 to see if that helped. 420 00:18:31,580 --> 00:18:35,200 Two of them got half a pint of seawater -- maybe not the best 421 00:18:35,200 --> 00:18:36,330 group to be in. 422 00:18:36,330 --> 00:18:38,490 Even worse group to be in is two of them got diluted 423 00:18:38,490 --> 00:18:40,760 sulfuric acid. 424 00:18:40,760 --> 00:18:43,480 Tuned out that didn't help so well. 425 00:18:43,480 --> 00:18:47,630 Other things where some got spices, not so bad. 426 00:18:47,630 --> 00:18:50,250 And then two of them actually got citrus fruit. 427 00:18:50,250 --> 00:18:53,760 So no big surprise ending to this clinical study, the 428 00:18:53,760 --> 00:18:57,580 people with citrus fruit were completely cured and back to 429 00:18:57,580 --> 00:19:00,320 duty within a week, and I'm not sure exactly what happened 430 00:19:00,320 --> 00:19:02,600 to everyone else, but let's hope they got 431 00:19:02,600 --> 00:19:05,170 switched over as well. 432 00:19:05,170 --> 00:19:07,730 But it's just neat to think about even back then, people 433 00:19:07,730 --> 00:19:10,600 were doing these controlled scientific studies, this was 434 00:19:10,600 --> 00:19:12,190 one of the first cases. 435 00:19:12,190 --> 00:19:16,350 Unfortunately, it was another 40 years between this study 436 00:19:16,350 --> 00:19:19,180 being published and the British Navy requiring 437 00:19:19,180 --> 00:19:20,150 supplements of citric acid. 438 00:19:20,150 --> 00:19:24,320 So, really, we've come a long way in terms of disseminating 439 00:19:24,320 --> 00:19:26,740 scientific knowledge to the community, and that's a really 440 00:19:26,740 --> 00:19:29,510 important part of being scientists -- not just making 441 00:19:29,510 --> 00:19:32,680 these discoveries, but also passing along, for example, to 442 00:19:32,680 --> 00:19:36,060 these ships full of people that need to know it. 443 00:19:36,060 --> 00:19:38,850 So, in terms of scurvy, we don't see too much of it 444 00:19:38,850 --> 00:19:42,230 today, but who should be concerned about 445 00:19:42,230 --> 00:19:43,600 suffering from scurvy? 446 00:19:43,600 --> 00:19:46,700 Do we have to worry about our cats or dogs at home, are they 447 00:19:46,700 --> 00:19:49,580 getting enough of their vegetables and vitamin C? 448 00:19:49,580 --> 00:19:51,270 It turns out we don't have to worry. 449 00:19:51,270 --> 00:19:54,080 Primates are who should be concerned. 450 00:19:54,080 --> 00:19:55,820 So we need to be concerned, other 451 00:19:55,820 --> 00:19:57,740 primates need to be concerned. 452 00:19:57,740 --> 00:20:01,120 It turns out that most other mammals actually biosynthesize 453 00:20:01,120 --> 00:20:03,870 vitamin C, so we don't have to worry about most 454 00:20:03,870 --> 00:20:07,040 of our pets at home. 455 00:20:07,040 --> 00:20:10,040 Unless you have a guinea pig and they don't, in fact, 456 00:20:10,040 --> 00:20:13,870 biosynthesize vitamin C, so I think they supplement most 457 00:20:13,870 --> 00:20:16,240 guinea pig pellets with vitamin C, but maybe keep an 458 00:20:16,240 --> 00:20:18,470 eye on your guinea pig. 459 00:20:18,470 --> 00:20:21,320 We primates and guinea pigs are the only types of mammals 460 00:20:21,320 --> 00:20:24,430 that don't actually biosynthesize their vitamin C. 461 00:20:24,430 --> 00:20:27,660 So again, vitamin C is a cofactor, that means it needs 462 00:20:27,660 --> 00:20:31,530 to bind to an enzyme, it means that the shape of vitamin C 463 00:20:31,530 --> 00:20:34,200 and the hybridization are going to be really important. 464 00:20:34,200 --> 00:20:37,540 So let's take a look and talk about some of these carbon 465 00:20:37,540 --> 00:20:38,780 atoms here. 466 00:20:38,780 --> 00:20:41,230 And you can look at your structure of vitamin C in your 467 00:20:41,230 --> 00:20:44,010 class notes while you're doing this, and first I want you to 468 00:20:44,010 --> 00:20:48,940 tell me what the hybridization is of that carbon a in the 469 00:20:48,940 --> 00:20:59,780 vitamin C molecule. 470 00:20:59,780 --> 00:21:14,800 And let's take 10 more seconds on that. 471 00:21:14,800 --> 00:21:16,620 OK, 78%. 472 00:21:16,620 --> 00:21:18,730 We'll do another question like this in a minute. 473 00:21:18,730 --> 00:21:21,950 So if we can switch back to the notes we'll 474 00:21:21,950 --> 00:21:23,520 take a look at that. 475 00:21:23,520 --> 00:21:25,590 I think we can get better, I think we can get to the 90's 476 00:21:25,590 --> 00:21:28,260 with these hybridization, we just need to follow the rules. 477 00:21:28,260 --> 00:21:30,910 So if we're thinking about vitamin C and we're talking 478 00:21:30,910 --> 00:21:34,860 about carbon a, how many things is carbon a bonded to? 479 00:21:34,860 --> 00:21:36,400 STUDENT: [INAUDIBLE] 480 00:21:36,400 --> 00:21:36,940 PROFESSOR: four things. 481 00:21:36,940 --> 00:21:39,210 We have two hydrogen atoms, an oxygen, and 482 00:21:39,210 --> 00:21:40,480 then another carbon. 483 00:21:40,480 --> 00:21:44,460 So that means we need, if it's bonded to four things, we need 484 00:21:44,460 --> 00:21:47,680 four different hybrid orbitals, so it needs to be s 485 00:21:47,680 --> 00:21:51,150 p 3 hybridized. 486 00:21:51,150 --> 00:21:54,320 All right, let's try this again but just shouting out, 487 00:21:54,320 --> 00:21:57,990 what is the hybridization of carbon b? 488 00:21:57,990 --> 00:21:59,230 Good. 489 00:21:59,230 --> 00:22:01,910 OK, I'm going to say that was about 90% of you I heard, 490 00:22:01,910 --> 00:22:03,240 which is excellent. 491 00:22:03,240 --> 00:22:04,370 S p 3. 492 00:22:04,370 --> 00:22:06,890 What about carbon c here? 493 00:22:06,890 --> 00:22:11,840 Yup, s p 3 again. 494 00:22:11,840 --> 00:22:14,310 Bonded to four things it's s p 3. 495 00:22:14,310 --> 00:22:17,300 What about carbon d? 496 00:22:17,300 --> 00:22:20,510 S p 2, great. 497 00:22:20,510 --> 00:22:21,450 Carbon e? 498 00:22:21,450 --> 00:22:24,710 STUDENT: S p 2. 499 00:22:24,710 --> 00:22:26,610 PROFESSOR: All right, and this last one, the last 10% of you 500 00:22:26,610 --> 00:22:27,380 can join in. 501 00:22:27,380 --> 00:22:28,970 Carbon f? 502 00:22:28,970 --> 00:22:31,200 Great, s p 2. 503 00:22:31,200 --> 00:22:36,100 All right, so we can also think about shape once we know 504 00:22:36,100 --> 00:22:38,800 hybridization and how many atoms a carbon 505 00:22:38,800 --> 00:22:39,990 atom is bonded to. 506 00:22:39,990 --> 00:22:43,150 What would we say that the shape is of these s p 3 507 00:22:43,150 --> 00:22:47,930 orbitals -- or the shape of the carbon atom. 508 00:22:47,930 --> 00:22:52,160 Yeah, it's tetrahedral. 509 00:22:52,160 --> 00:22:57,610 So this is going to be tetrahedral. 510 00:22:57,610 --> 00:23:00,950 And what about carbon d, e, and f? 511 00:23:00,950 --> 00:23:04,750 What is the geometry of carbon d, e, and f? 512 00:23:04,750 --> 00:23:06,160 Good, trigonal planar. 513 00:23:06,160 --> 00:23:14,750 All right. 514 00:23:14,750 --> 00:23:17,590 So let's actually take this one step further from just 515 00:23:17,590 --> 00:23:19,810 talking about the hybridization of the 516 00:23:19,810 --> 00:23:20,700 individual atom. 517 00:23:20,700 --> 00:23:22,950 Let's talk about a couple of these bonds. 518 00:23:22,950 --> 00:23:24,700 I won't go through all of them. 519 00:23:24,700 --> 00:23:27,040 I think you can get the idea with just a few, but you can 520 00:23:27,040 --> 00:23:30,150 go back and try all of them later. 521 00:23:30,150 --> 00:23:34,950 So let's start with thinking about carbon b hydrogen bond. 522 00:23:34,950 --> 00:23:38,330 Is this going to be a sigma or a pi bond? 523 00:23:38,330 --> 00:23:38,650 Sigma. 524 00:23:38,650 --> 00:23:42,510 We know it's sigma, because any time we have a single bond 525 00:23:42,510 --> 00:23:45,040 it's a sigma bond. 526 00:23:45,040 --> 00:23:48,220 So carbon b, we just said, is carbon, it's 527 00:23:48,220 --> 00:23:51,590 going to be 2 s p 3. 528 00:23:51,590 --> 00:23:54,240 And then hydrogen, what's the atomic orbital we're talking 529 00:23:54,240 --> 00:23:55,770 about here? 530 00:23:55,770 --> 00:23:57,700 1 s. 531 00:23:57,700 --> 00:23:58,420 All right, great. 532 00:23:58,420 --> 00:24:00,870 So let's take a look at another one, let's look again 533 00:24:00,870 --> 00:24:04,340 at carbon b, but now let's talk about it bonding to its 534 00:24:04,340 --> 00:24:06,200 oxygen there. 535 00:24:06,200 --> 00:24:08,730 So again, are we going to be talking about a 536 00:24:08,730 --> 00:24:11,710 sigma or a pi bond? 537 00:24:11,710 --> 00:24:16,110 A sigma bond, because again, it's a single bond here. 538 00:24:16,110 --> 00:24:21,880 So what we'll say again is carbon 2 s p 3, and let's take 539 00:24:21,880 --> 00:24:24,930 a look at this oxygen that it's bound to. 540 00:24:24,930 --> 00:24:28,530 Is this oxygen -- what is the hybridization of this oxygen 541 00:24:28,530 --> 00:24:30,980 right here? 542 00:24:30,980 --> 00:24:32,850 What is it? 543 00:24:32,850 --> 00:24:35,010 OK, good, it's s p 3. 544 00:24:35,010 --> 00:24:38,160 It's bound to two atoms, plus it has two lone pairs, that's 545 00:24:38,160 --> 00:24:39,980 a total of four things. 546 00:24:39,980 --> 00:24:42,950 So it needs to have three different hybrid orbitals, so 547 00:24:42,950 --> 00:24:51,150 we'll say it's oxygen 2 s p 3. 548 00:24:51,150 --> 00:24:53,980 So let's skip to a different carbon now, let's talk about 549 00:24:53,980 --> 00:24:58,550 carbon d, specifically the carbon d oxygen bond. 550 00:24:58,550 --> 00:25:01,030 So let's do a clicker question for this one. 551 00:25:01,030 --> 00:25:04,510 Let's get into the 90's, if you don't mind, this would be 552 00:25:04,510 --> 00:25:06,320 very good to do. 553 00:25:06,320 --> 00:25:08,120 It'll make me feel better about you finishing your 554 00:25:08,120 --> 00:25:10,810 problem-sets tonight. 555 00:25:10,810 --> 00:25:15,790 So if you talk about the symmetry and the hybrid or 556 00:25:15,790 --> 00:25:18,660 atomic orbitals that contribute, we're talking 557 00:25:18,660 --> 00:25:20,390 about the c d oxygen bond. 558 00:25:20,390 --> 00:25:22,310 So go ahead and look at your notes and see 559 00:25:22,310 --> 00:25:24,370 what that bond is. 560 00:25:24,370 --> 00:25:27,950 We already identified the hybridization of carbon d, so 561 00:25:27,950 --> 00:25:30,260 we really just need to think about the oxygen here. 562 00:25:30,260 --> 00:26:04,340 All right, let's take 10 more seconds. 563 00:26:04,340 --> 00:26:07,230 OK, I'll take that, 84%. 564 00:26:07,230 --> 00:26:10,010 That's not bad. 565 00:26:10,010 --> 00:26:12,790 So again, we're looking at a sigma bond here. 566 00:26:12,790 --> 00:26:15,170 It looks like the one people got it confused with was 567 00:26:15,170 --> 00:26:18,660 talking about oxygen s p 2 versus s p 3. 568 00:26:18,660 --> 00:26:20,710 Remember, you just need to look at what it is actually 569 00:26:20,710 --> 00:26:24,260 bound to, so for carbon d, the oxygen's bound to two atoms 570 00:26:24,260 --> 00:26:27,890 plus two lone pairs, so it's going to be s p 3 hybridized. 571 00:26:27,890 --> 00:26:32,660 So we'll call this a sigma bond where we have carbon 2 s 572 00:26:32,660 --> 00:26:37,960 p, now it's s p 2, and oxygen 2 s p 3. 573 00:26:37,960 --> 00:26:41,300 All right, let's take a look at just one more here. 574 00:26:41,300 --> 00:26:45,430 So, let's look at the carbon d bond with carbon e. 575 00:26:45,430 --> 00:26:48,750 So if we can switch back to the class notes just to see 576 00:26:48,750 --> 00:26:51,780 that, though you guys can see it on your notes as well. 577 00:26:51,780 --> 00:26:54,300 So in terms of that, we're talking about a double bond 578 00:26:54,300 --> 00:26:57,650 now, so we know that we have to have one sigma bond and one 579 00:26:57,650 --> 00:27:01,090 pi bond to completely describe our double bond. 580 00:27:01,090 --> 00:27:03,220 So for the sigma bond, again, it's going to be 581 00:27:03,220 --> 00:27:07,710 carbon 2 s p 2. 582 00:27:07,710 --> 00:27:09,780 And now we're talking about the other carbon. 583 00:27:09,780 --> 00:27:13,660 What is the hybridization of the other carbon? 584 00:27:13,660 --> 00:27:14,660 Yup, s p 2. 585 00:27:14,660 --> 00:27:17,040 So carbon 2 s p 2. 586 00:27:17,040 --> 00:27:19,420 All right, but we're not done there. 587 00:27:19,420 --> 00:27:22,250 We also need to talk about the pi bond. 588 00:27:22,250 --> 00:27:26,730 So for the pi bond, we'll talk about carbon 2 p y, and then 589 00:27:26,730 --> 00:27:29,110 the second carbon 2 p y. 590 00:27:29,110 --> 00:27:33,970 All right, so I filled in a few more in your notes, so you 591 00:27:33,970 --> 00:27:36,340 can maybe cover those up and make sure that you get all of 592 00:27:36,340 --> 00:27:40,330 those correct is a good self test before you finish off any 593 00:27:40,330 --> 00:27:41,490 in your problem-set. 594 00:27:41,490 --> 00:27:43,920 Does anyone have any questions about figuring out 595 00:27:43,920 --> 00:27:44,580 hybridization? 596 00:27:44,580 --> 00:27:44,810 Yes? 597 00:27:44,810 --> 00:27:48,750 STUDENT: [INAUDIBLE] 598 00:27:48,750 --> 00:27:52,450 PROFESSOR: I'm sorry, what is that? 599 00:27:52,450 --> 00:27:54,200 In this bond here? 600 00:27:54,200 --> 00:27:55,310 Oh, OK, that's a good question. 601 00:27:55,310 --> 00:27:57,740 So the question was why is there not hybridization in 602 00:27:57,740 --> 00:27:59,290 these p orbitals here. 603 00:27:59,290 --> 00:28:03,250 So in order to form a double bond, we need to have a pi 604 00:28:03,250 --> 00:28:05,060 bond forms, and a pi bond forms from two 605 00:28:05,060 --> 00:28:06,720 unhybridized p orbitals. 606 00:28:06,720 --> 00:28:09,640 And if you can kind of picture those p orbitals, if our 607 00:28:09,640 --> 00:28:12,170 molecules are this way and they're coming up here, we 608 00:28:12,170 --> 00:28:14,530 need to have electron density above the bond 609 00:28:14,530 --> 00:28:15,710 and below the bond. 610 00:28:15,710 --> 00:28:18,000 So if they're hybrid, then they're going to be spread out 611 00:28:18,000 --> 00:28:20,120 into that tetrahedral geometry. 612 00:28:20,120 --> 00:28:23,130 We want to have them parallel to each other and they need to 613 00:28:23,130 --> 00:28:25,420 be the p bonds, they need to be the p orbitals. 614 00:28:25,420 --> 00:28:28,440 Does that makes sense? 615 00:28:28,440 --> 00:28:33,330 So any time we have a double bond, the pi part of the bond 616 00:28:33,330 --> 00:28:34,100 is going to be p orbitals. 617 00:28:34,100 --> 00:28:34,180 Yes? 618 00:28:34,180 --> 00:28:34,740 STUDENT: [INAUDIBLE] 619 00:28:34,740 --> 00:28:38,360 PROFESSOR: No, absolutely not. 620 00:28:38,360 --> 00:28:42,490 It would be absolutely correct to put 2 p x and 2 p x here, 621 00:28:42,490 --> 00:28:45,130 you just can't put z, because that's the one that's going to 622 00:28:45,130 --> 00:28:46,660 be involved in the sigma bond. 623 00:28:46,660 --> 00:28:49,740 And the other important thing is if you do put x for one, 624 00:28:49,740 --> 00:28:52,010 you have to make sure you put x in the other, because they 625 00:28:52,010 --> 00:28:54,470 do need to be able to interact with each other. 626 00:28:54,470 --> 00:28:57,490 You can't have one x and one y, but sure, you can have both 627 00:28:57,490 --> 00:29:02,160 x or both y. 628 00:29:02,160 --> 00:29:05,240 OK, so let's shift gears a little bit and start talking 629 00:29:05,240 --> 00:29:11,120 about bonding in terms of chemical reactions. 630 00:29:11,120 --> 00:29:13,820 So we're going to start today with talking about bond 631 00:29:13,820 --> 00:29:19,760 energies, and also something called bond enthalpies. 632 00:29:19,760 --> 00:29:22,310 And the first point is just to bring us back to something 633 00:29:22,310 --> 00:29:23,490 we're very familiar with. 634 00:29:23,490 --> 00:29:26,580 When we talked about covalent bonding, a concept that we 635 00:29:26,580 --> 00:29:29,930 have been discussing is bond dissociation energy. 636 00:29:29,930 --> 00:29:33,210 That's just the energy that's required to put into a 637 00:29:33,210 --> 00:29:35,590 molecule in order to break that bond. 638 00:29:35,590 --> 00:29:38,570 This is something that we saw when we were talking just at 639 00:29:38,570 --> 00:29:41,410 the very beginning of our unit on covalent bonds. 640 00:29:41,410 --> 00:29:45,450 That energy difference is the energy difference between when 641 00:29:45,450 --> 00:29:49,180 we have the c h 4, if we're talking about methane, versus 642 00:29:49,180 --> 00:29:52,460 one of those hydrogen bonds breaking, one of those c h 643 00:29:52,460 --> 00:29:53,800 bonds breaking. 644 00:29:53,800 --> 00:29:58,080 So we've talked in the past about bond energy, but what I 645 00:29:58,080 --> 00:30:01,560 want to introduce to you today is a very related concept, 646 00:30:01,560 --> 00:30:03,380 which is called bond enthalpy. 647 00:30:03,380 --> 00:30:08,400 So that's delta h here is what we call bond enthalpy. 648 00:30:08,400 --> 00:30:10,870 So, this is talking about instead of the change of 649 00:30:10,870 --> 00:30:14,380 energy accompanied with a bond breaking, we're talking about 650 00:30:14,380 --> 00:30:17,350 a change in heat accompanied with a bond breaking. 651 00:30:17,350 --> 00:30:20,920 So whether when that bond breaks it requires heat, or 652 00:30:20,920 --> 00:30:24,310 whether it gives off heat when you break that bond or talking 653 00:30:24,310 --> 00:30:25,060 about a reaction. 654 00:30:25,060 --> 00:30:26,250 That's what we're talking about when we're 655 00:30:26,250 --> 00:30:28,770 talking about enthalpy. 656 00:30:28,770 --> 00:30:31,690 It turns out that enthalpy is, in fact, very related to 657 00:30:31,690 --> 00:30:35,350 energy, and we can relate it with this equation here that 658 00:30:35,350 --> 00:30:39,420 bond enthalpy is equal to bond energy plus the change in 659 00:30:39,420 --> 00:30:41,350 pressure times volume. 660 00:30:41,350 --> 00:30:44,120 So we could, in fact, go back and forth between bond 661 00:30:44,120 --> 00:30:47,670 energies and bond enthalpies, but the reality is if we're 662 00:30:47,670 --> 00:30:50,970 talking about gases, which we are in many cases, then what 663 00:30:50,970 --> 00:30:54,100 we find is the difference between bond enthalpy and bond 664 00:30:54,100 --> 00:30:57,000 energy is only 1% to 2%. 665 00:30:57,000 --> 00:30:58,770 So it's not very significant. 666 00:30:58,770 --> 00:31:02,390 And, in fact, if we're talking about solids or liquids, now 667 00:31:02,390 --> 00:31:05,460 we can say that the difference between bond energy and bond 668 00:31:05,460 --> 00:31:07,910 enthalpy is going to be negligible. 669 00:31:07,910 --> 00:31:11,410 So, for the rest of this class today, we're going to stop 670 00:31:11,410 --> 00:31:13,880 talking about bond energy, which I did just for a moment, 671 00:31:13,880 --> 00:31:16,880 to orient you back to a discussion that was familiar, 672 00:31:16,880 --> 00:31:19,770 we're going to switch our discussion to bond enthalpies. 673 00:31:19,770 --> 00:31:22,780 One reason that we like to talk about enthalpies is 674 00:31:22,780 --> 00:31:26,040 unlike energy, which can be a little bit more tricky, bond 675 00:31:26,040 --> 00:31:27,970 enthalpies are easy to measure. 676 00:31:27,970 --> 00:31:31,330 It's easy to measure how much heat a reaction gives off or 677 00:31:31,330 --> 00:31:35,790 how much heat a reaction takes in. 678 00:31:35,790 --> 00:31:38,550 So we can also talk about something, which is called the 679 00:31:38,550 --> 00:31:42,020 standard bond enthalpy, so any time you see this symbol here, 680 00:31:42,020 --> 00:31:45,110 which looks like a knot, so it looks like a delta h knot, 681 00:31:45,110 --> 00:31:48,110 that refers to the standard bond enthalpy. 682 00:31:48,110 --> 00:31:50,680 Any time we we're talking about a standard, whether it's 683 00:31:50,680 --> 00:31:53,900 enthalpy or, as we'll see in the next lecture, standard 684 00:31:53,900 --> 00:31:57,680 entropy or a standard free energy, we're just saying that 685 00:31:57,680 --> 00:32:00,450 the molecules that we're talking about are in their 686 00:32:00,450 --> 00:32:03,440 standard states, which means they're in their pure form. 687 00:32:03,440 --> 00:32:05,850 If they're a gas it means they're at one bar. 688 00:32:05,850 --> 00:32:07,740 Usually this is referring to room 689 00:32:07,740 --> 00:32:11,070 temperature, so 298 kelvin. 690 00:32:11,070 --> 00:32:14,570 It's often that when you look up tables of different bond 691 00:32:14,570 --> 00:32:17,215 enthalpies, you'll see them in their standard state and it 692 00:32:17,215 --> 00:32:18,710 will be at room temperature. 693 00:32:18,710 --> 00:32:21,830 So if we talk about standard bond enthalpy, let's talk 694 00:32:21,830 --> 00:32:24,450 about what this is for these c h bonds, which 695 00:32:24,450 --> 00:32:26,280 we just saw in methane. 696 00:32:26,280 --> 00:32:29,820 So if we're going from c h 4 to breaking one of these c h 697 00:32:29,820 --> 00:32:32,990 bonds, what we see is that the bond enthalpy is 438 698 00:32:32,990 --> 00:32:33,640 kilojoules per mole. 699 00:32:33,640 --> 00:32:37,650 The fact that it's positive tells us that we need to put 700 00:32:37,650 --> 00:32:40,090 in that much heat into the system in order 701 00:32:40,090 --> 00:32:42,240 to break that bond. 702 00:32:42,240 --> 00:32:45,060 So we now know the enthalpy of a c h bond, but, of course, 703 00:32:45,060 --> 00:32:47,520 methane is not the only kind of c h bond 704 00:32:47,520 --> 00:32:48,850 that you can envision. 705 00:32:48,850 --> 00:32:52,180 We could talk about the c h bond, for example, in ethane 706 00:32:52,180 --> 00:32:56,650 or trifluoromethane or trichloro or tribromomethane, 707 00:32:56,650 --> 00:32:59,570 and what you'll find is that the amount of enthalpy that 708 00:32:59,570 --> 00:33:03,140 that reaction is associated with depends on the exact type 709 00:33:03,140 --> 00:33:06,470 of c h bond that you have. So, for example, we can see that 710 00:33:06,470 --> 00:33:09,060 we have slightly different, not vastly different, but 711 00:33:09,060 --> 00:33:12,690 slightly different changes in enthalpy depending on which 712 00:33:12,690 --> 00:33:17,090 kind of c h bond that were breaking. 713 00:33:17,090 --> 00:33:19,570 And what I want to point out also is that all of these 714 00:33:19,570 --> 00:33:21,690 delta h's, all of these standard bond 715 00:33:21,690 --> 00:33:23,580 enthalpies are positive. 716 00:33:23,580 --> 00:33:27,420 Any time we have a positive delta h, we call this an 717 00:33:27,420 --> 00:33:29,320 endothermic reaction. 718 00:33:29,320 --> 00:33:32,080 And again, endothermic just means that the 719 00:33:32,080 --> 00:33:34,380 reaction takes in energy. 720 00:33:34,380 --> 00:33:37,220 It's very similar to what when we're talking about energy 721 00:33:37,220 --> 00:33:40,125 whether something's taken in or released, whether it's 722 00:33:40,125 --> 00:33:41,060 positive or negative. 723 00:33:41,060 --> 00:33:44,510 If you have positive delta h, it's endothermic, it takes in 724 00:33:44,510 --> 00:33:48,040 heat in order for the reaction to go. 725 00:33:48,040 --> 00:33:50,830 So we can think about instead of talking about all of these 726 00:33:50,830 --> 00:33:54,840 individual c h bonds, instead we can talk about what the 727 00:33:54,840 --> 00:33:57,090 average value would be for all c h bonds. 728 00:33:57,090 --> 00:34:00,610 So we can say that the average of any c h bond is 412 729 00:34:00,610 --> 00:34:02,010 kilojoules per mole. 730 00:34:02,010 --> 00:34:04,360 So you can imagine if you're looking these things up in 731 00:34:04,360 --> 00:34:06,910 terms of a reference table or maybe in the appendix of your 732 00:34:06,910 --> 00:34:10,140 textbook, it would be an impossibly huge number of 733 00:34:10,140 --> 00:34:13,630 pages to write every single different kinds of c h bond. 734 00:34:13,630 --> 00:34:16,650 So that's why instead they talk about the average bond 735 00:34:16,650 --> 00:34:17,680 enthalpies. 736 00:34:17,680 --> 00:34:21,370 So for c h, again, that's 412, and all of the enthalpies we 737 00:34:21,370 --> 00:34:24,360 just saw fall within about 8% of that. 738 00:34:24,360 --> 00:34:27,710 And in your book you can look up any type of bond that's 739 00:34:27,710 --> 00:34:28,680 listed here. 740 00:34:28,680 --> 00:34:30,840 So we saw c h is 412. 741 00:34:30,840 --> 00:34:34,110 You can look up a c c bond, you can look up a c c double 742 00:34:34,110 --> 00:34:36,610 bond, a c c triple bond, and so on. 743 00:34:36,610 --> 00:34:39,270 And you'll note that what these are are mean bond 744 00:34:39,270 --> 00:34:41,990 enthalpies, so they're the average of all different types 745 00:34:41,990 --> 00:34:47,300 of c h bonds or c c bonds that you can imagine. 746 00:34:47,300 --> 00:34:50,360 So, you might be asking what's so important about being able 747 00:34:50,360 --> 00:34:52,710 to look up and think about these different bond 748 00:34:52,710 --> 00:34:53,670 enthalpies. 749 00:34:53,670 --> 00:34:55,890 And the reason that it's important is because if you're 750 00:34:55,890 --> 00:34:58,660 looking at a reaction, no matter how complicated that 751 00:34:58,660 --> 00:35:02,540 reaction is, you can actually figure out what the enthalpy 752 00:35:02,540 --> 00:35:06,210 of the entire reaction is by adding up all the individual 753 00:35:06,210 --> 00:35:09,720 mean bond enthalpies of the products, and all the 754 00:35:09,720 --> 00:35:12,760 individual mean bond enthalpies of their reactants 755 00:35:12,760 --> 00:35:15,480 and thinking about the difference between those two. 756 00:35:15,480 --> 00:35:18,240 So we'll do that in just a second, and the reaction that 757 00:35:18,240 --> 00:35:21,330 we'll do it with is the oxidation of glucose here. 758 00:35:21,330 --> 00:35:26,733 So, c 6 h 12 o 6, one mole of glucose plus six moles of 759 00:35:26,733 --> 00:35:29,610 oxygen, gives us six moles of carbon dioxide and 760 00:35:29,610 --> 00:35:31,320 six moles of water. 761 00:35:31,320 --> 00:35:34,310 So what we can find out, and hopefully what we will match 762 00:35:34,310 --> 00:35:37,700 up when we look at using the different bond enthalpies, is 763 00:35:37,700 --> 00:35:41,250 that the enthalpy of this entire reaction is negative 764 00:35:41,250 --> 00:35:44,220 2816 kilojoules per mole. 765 00:35:44,220 --> 00:35:47,200 So in this case we're saying that delta h is negative. 766 00:35:47,200 --> 00:35:48,400 Does anyone know what it's called 767 00:35:48,400 --> 00:35:51,030 when delta h is negative? 768 00:35:51,030 --> 00:35:52,280 Everyone knows, great. 769 00:35:52,280 --> 00:35:52,960 So it's exothermic. 770 00:35:52,960 --> 00:35:56,500 This is an exothermic reaction, the reaction 771 00:35:56,500 --> 00:35:59,870 releases heat. 772 00:35:59,870 --> 00:36:02,420 So I just want to mention before we go on, if you look 773 00:36:02,420 --> 00:36:06,060 at almost any freshman chemistry textbook, what 774 00:36:06,060 --> 00:36:09,910 you'll find is this oxidation of glucose reaction is used a 775 00:36:09,910 --> 00:36:12,820 lot in talking about thermochemistry. 776 00:36:12,820 --> 00:36:14,920 And one reason it's talked about is because it's very 777 00:36:14,920 --> 00:36:17,070 convenient to talk about something where we start with 778 00:36:17,070 --> 00:36:21,120 one mole of glucose and end up with 12 moles of products. 779 00:36:21,120 --> 00:36:23,290 That's going to be helpful what we're doing a practice 780 00:36:23,290 --> 00:36:25,740 problem to see exactly how you deal with it when there's 781 00:36:25,740 --> 00:36:27,330 different numbers of moles. 782 00:36:27,330 --> 00:36:29,570 But the other reason you always see this reaction is 783 00:36:29,570 --> 00:36:32,030 because it's an incredibly important reaction. 784 00:36:32,030 --> 00:36:34,840 The oxidation of glucose is going on all the time in our 785 00:36:34,840 --> 00:36:39,620 body, this is our main source of energy for all animals. 786 00:36:39,620 --> 00:36:42,600 So let's think a little bit about why this reaction is so 787 00:36:42,600 --> 00:36:44,170 important and so prevalent. 788 00:36:44,170 --> 00:36:46,950 It turns out that if we're talking about plants, plants 789 00:36:46,950 --> 00:36:48,620 do the reverse reaction. 790 00:36:48,620 --> 00:36:52,130 So plants take carbon dioxide and water and they turn it 791 00:36:52,130 --> 00:36:55,720 into glucose or energy for us, energy stored in the bonds of 792 00:36:55,720 --> 00:36:58,850 glucose plus oxygen. 793 00:36:58,850 --> 00:37:01,220 So if we do the reverse reaction, this is actually 794 00:37:01,220 --> 00:37:02,960 going to require energy. 795 00:37:02,960 --> 00:37:06,080 Where do plants get this energy? 796 00:37:06,080 --> 00:37:07,520 Yeah, this is just photosynthesis here. 797 00:37:07,520 --> 00:37:10,430 This is the photosynthesis where plants are turning 798 00:37:10,430 --> 00:37:15,120 carbon dioxide and water into sugar and into oxygen. 799 00:37:15,120 --> 00:37:17,990 So what happens when we eat the plants or when we eat 800 00:37:17,990 --> 00:37:21,080 animals that have eaten the plants is that we perform the 801 00:37:21,080 --> 00:37:23,990 reverse reaction now, which is what I just showed you, the 802 00:37:23,990 --> 00:37:24,660 oxidation of glucose. 803 00:37:24,660 --> 00:37:29,230 And even though it's not the products of the reaction that 804 00:37:29,230 --> 00:37:32,070 are particularly valuable to us, we just breathe out the c 805 00:37:32,070 --> 00:37:36,040 o 2, and actually we'd rather have less of that than more in 806 00:37:36,040 --> 00:37:40,640 our environment, but what's important here is instead the 807 00:37:40,640 --> 00:37:43,990 energy or the enthalpy that's given often in this reaction. 808 00:37:43,990 --> 00:37:47,240 So as I said, this reaction has a negative enthalpy of 809 00:37:47,240 --> 00:37:49,920 2816 kilojoules per mole. 810 00:37:49,920 --> 00:37:52,560 That's a lot of enthalpy and a lot of energy. 811 00:37:52,560 --> 00:37:56,170 So we actually end up using that energy to fuel most of 812 00:37:56,170 --> 00:37:57,610 what is going on in our bodies. 813 00:37:57,610 --> 00:38:01,400 So instead of storing it as sugar, once we oxidize the 814 00:38:01,400 --> 00:38:05,240 sugar, now we just store it as ATP, and as you know, ATP is 815 00:38:05,240 --> 00:38:07,480 the currency of energy in the cells. 816 00:38:07,480 --> 00:38:10,350 So this is why you see this reaction again and again and 817 00:38:10,350 --> 00:38:12,630 again in just about any chemistry textbook that you 818 00:38:12,630 --> 00:38:15,040 open up as sort of a general reaction. 819 00:38:15,040 --> 00:38:17,920 The reason it's used is it's just so important and so 820 00:38:17,920 --> 00:38:21,930 prevalent in terms of thinking about our bodies and how we're 821 00:38:21,930 --> 00:38:24,890 staying alive and using energy. 822 00:38:24,890 --> 00:38:27,240 All right, so let's go ahead and use this as an example of 823 00:38:27,240 --> 00:38:30,170 what we just said, which is using the bond enthalpies of 824 00:38:30,170 --> 00:38:34,750 the products and the reactants to figure out the enthalpy of 825 00:38:34,750 --> 00:38:36,620 the entire reaction. 826 00:38:36,620 --> 00:38:39,830 So the way that we do this is we add up all of the 827 00:38:39,830 --> 00:38:43,520 individual mean bond enthalpies of the reactants, 828 00:38:43,520 --> 00:38:46,940 and we subtract from that all of the individual bond 829 00:38:46,940 --> 00:38:49,700 enthalpies of the products. 830 00:38:49,700 --> 00:38:51,830 So we can think about what this will tell us. 831 00:38:51,830 --> 00:38:55,570 If you think about the fact if the bonds are stronger in the 832 00:38:55,570 --> 00:38:59,350 products than they were in the reactants, you can go ahead 833 00:38:59,350 --> 00:39:01,430 and click in and tell me if you think we'll have a 834 00:39:01,430 --> 00:39:04,490 negative or a positive delta h here. 835 00:39:04,490 --> 00:39:31,090 All right, let's take 10 more seconds on this. 836 00:39:31,090 --> 00:39:38,250 OK, great, so negative is correct and some people got 837 00:39:38,250 --> 00:39:39,090 totally mixed up. 838 00:39:39,090 --> 00:39:40,940 Didn't just get one thing -- so let's just focus on the 839 00:39:40,940 --> 00:39:42,900 right answer to start with. 840 00:39:42,900 --> 00:39:45,070 The correct answer is that it's negative, it's an 841 00:39:45,070 --> 00:39:47,400 exothermic reaction. 842 00:39:47,400 --> 00:39:49,000 And actually, lets switch to our class 843 00:39:49,000 --> 00:39:50,420 notes to explain why. 844 00:39:50,420 --> 00:39:53,040 And also, this was the quiz question for today, so whether 845 00:39:53,040 --> 00:39:56,000 you got the answer correct or incorrect, you get full quiz 846 00:39:56,000 --> 00:39:57,990 points if you did, in fact, answer. 847 00:39:57,990 --> 00:40:00,620 But let's still focus on the right answer here and see why 848 00:40:00,620 --> 00:40:01,680 it's correct. 849 00:40:01,680 --> 00:40:04,750 So if we're talking about the bonds being stronger in the 850 00:40:04,750 --> 00:40:09,290 products, that basically means that we ended up releasing a 851 00:40:09,290 --> 00:40:12,340 lot of heat when we made those bonds and the products, and we 852 00:40:12,340 --> 00:40:15,000 didn't have to use up too much of that heat to break all the 853 00:40:15,000 --> 00:40:16,380 bonds and the reactants. 854 00:40:16,380 --> 00:40:18,190 So that's why we say that delta h 855 00:40:18,190 --> 00:40:19,340 is going to be negative. 856 00:40:19,340 --> 00:40:23,490 You could also just do it not conceptually, just plugging it 857 00:40:23,490 --> 00:40:25,920 into the equation, but it's better to kind of understand 858 00:40:25,920 --> 00:40:27,490 exactly why that is. 859 00:40:27,490 --> 00:40:30,960 It's because it takes more energy -- you gain more energy 860 00:40:30,960 --> 00:40:32,970 forming the products than you take 861 00:40:32,970 --> 00:40:34,580 breaking up the reactants. 862 00:40:34,580 --> 00:40:37,320 So if we have the opposite case here, if the bonds are 863 00:40:37,320 --> 00:40:40,430 stronger in the reactants, now what we're going to find is 864 00:40:40,430 --> 00:40:43,750 that the delta h of the reaction is positive and what 865 00:40:43,750 --> 00:40:49,590 you're dealing with is an endothermic reaction. 866 00:40:49,590 --> 00:40:52,200 So let's go ahead and do this with our example of the 867 00:40:52,200 --> 00:40:54,320 oxidation of glucose. 868 00:40:54,320 --> 00:40:57,210 So, I've just written out the glucose molecule so you can 869 00:40:57,210 --> 00:41:01,055 see all of its individual bonds here since we're going 870 00:41:01,055 --> 00:41:04,210 to be using that information. 871 00:41:04,210 --> 00:41:06,610 So let's start by talking about the bonds that are 872 00:41:06,610 --> 00:41:10,040 broken in terms of thinking about all of 873 00:41:10,040 --> 00:41:11,420 the reactants here. 874 00:41:11,420 --> 00:41:14,800 So if we're talking about the sugar molecule itself, what we 875 00:41:14,800 --> 00:41:18,090 have is we have seven c h bonds. 876 00:41:18,090 --> 00:41:22,400 And if we add up all the o h bonds, we have five of those. 877 00:41:22,400 --> 00:41:27,790 How many c o single bonds do we have? 878 00:41:27,790 --> 00:41:29,690 What do people think? 879 00:41:29,690 --> 00:41:32,030 Yeah. five c o single bonds. 880 00:41:32,030 --> 00:41:36,890 What about c c single bonds? five of those as well. 881 00:41:36,890 --> 00:41:39,610 C o double bonds? 882 00:41:39,610 --> 00:41:41,360 Just one c o double bond. 883 00:41:41,360 --> 00:41:44,070 And then we have our oxygen molecule to worry about and we 884 00:41:44,070 --> 00:41:47,150 have six o o double bonds. 885 00:41:47,150 --> 00:41:49,810 So if we add up all of the bonds are broken, and we 886 00:41:49,810 --> 00:41:52,780 subtract from that the bonds that are formed, those 887 00:41:52,780 --> 00:41:57,650 strengths, the c double bond o, we have 12 of those. 888 00:41:57,650 --> 00:42:01,200 And how many o h bonds do we have? 889 00:42:01,200 --> 00:42:02,960 Right, 12 as well. 890 00:42:02,960 --> 00:42:07,290 So if we add up all the bonds broken, what we end up with is 891 00:42:07,290 --> 00:42:11,790 12,452 kilojoules per mole, and it's talking about per 892 00:42:11,790 --> 00:42:14,350 mole of glucose that's oxidized. 893 00:42:14,350 --> 00:42:17,850 And in terms of bonds formed, what we see is 15,192 894 00:42:17,850 --> 00:42:21,740 kilojoules per mole. 895 00:42:21,740 --> 00:42:27,190 So all we need to do to figure out the change in enthalpy, 896 00:42:27,190 --> 00:42:30,380 and when it has this subscript r here, I meant to mention, 897 00:42:30,380 --> 00:42:32,740 that means the enthalpy for the reaction. 898 00:42:32,740 --> 00:42:38,290 We just subtract these bonds here from the ones that we 899 00:42:38,290 --> 00:42:40,480 ended up forming. 900 00:42:40,480 --> 00:42:44,570 So basically, what we're saying -- excuse me, these are 901 00:42:44,570 --> 00:42:45,660 the ones that we broke. 902 00:42:45,660 --> 00:42:51,480 It's 12,452 minus 15,192, which we formed. 903 00:42:51,480 --> 00:42:55,370 So we end up with an enthalpy of reaction of negative 2,740 904 00:42:55,370 --> 00:43:01,090 kilojoules per mole of glucose that's oxidized. 905 00:43:01,090 --> 00:43:03,570 All right, so if you remember the number that I told you 906 00:43:03,570 --> 00:43:08,240 before, it doesn't exactly match up with what we had said 907 00:43:08,240 --> 00:43:09,250 is the exact number. 908 00:43:09,250 --> 00:43:12,400 The exact number is 2,816. 909 00:43:12,400 --> 00:43:15,200 It is within 3% though, that's pretty good. 910 00:43:15,200 --> 00:43:18,020 Because remember, we're not using exact bond enthalpies 911 00:43:18,020 --> 00:43:21,160 here, what we were using is average bond enthalpies. 912 00:43:21,160 --> 00:43:24,180 So it makes sense that we're going to be a little bit off. 913 00:43:24,180 --> 00:43:27,610 But if all you have in front of you is the information on 914 00:43:27,610 --> 00:43:30,270 bond enthalpies, mean bond enthalpies, this is a great 915 00:43:30,270 --> 00:43:33,530 way to figure out the enthalpy of an overall reaction. 916 00:43:33,530 --> 00:43:35,990 We can think of a different way, however, to think about 917 00:43:35,990 --> 00:43:38,460 the enthalpy of an overall reaction, and this is talking 918 00:43:38,460 --> 00:43:41,460 about the heat of formation. 919 00:43:41,460 --> 00:43:45,680 And the heat of formation or delta h formation here is 920 00:43:45,680 --> 00:43:49,680 equal to the heat of -- or the enthalpy of reaction, if we're 921 00:43:49,680 --> 00:43:54,420 talking about forming one mole of compound from its pure 922 00:43:54,420 --> 00:43:56,850 elements, which are in their standard states. 923 00:43:56,850 --> 00:43:59,340 So basically, there's a table that you can look up which 924 00:43:59,340 --> 00:44:02,770 tells you the enthalpy of formation for any compound 925 00:44:02,770 --> 00:44:05,100 that you're interested in, and this is actually an appendix 926 00:44:05,100 --> 00:44:08,340 to of your textbooks, and you will need to use this to solve 927 00:44:08,340 --> 00:44:10,630 your problems on p-set. 928 00:44:10,630 --> 00:44:14,390 But let me say that, for example, if we're talking 929 00:44:14,390 --> 00:44:18,170 about water here, that's formed from hydrogen and 930 00:44:18,170 --> 00:44:20,390 oxygen, if we're talking about the elements in their pure 931 00:44:20,390 --> 00:44:26,050 forms at one bar, standard states, and room temperature. 932 00:44:26,050 --> 00:44:28,600 And if we look this up in our textbook, we would find that 933 00:44:28,600 --> 00:44:32,610 the delta h of formation for water is negative 286 934 00:44:32,610 --> 00:44:35,800 kilojoules per mole. 935 00:44:35,800 --> 00:44:38,440 Similarly we can look up the same thing, for example, for 936 00:44:38,440 --> 00:44:42,590 carbon dioxide, and what we'll find here is that our delta h 937 00:44:42,590 --> 00:44:46,050 of formation that we look up is negative 393 . 938 00:44:46,050 --> 00:44:48,940 5 kilojoules per mole. 939 00:44:48,940 --> 00:44:51,850 We can also look up or think about what our delta h of 940 00:44:51,850 --> 00:44:53,940 formation would be for oxygen. 941 00:44:53,940 --> 00:44:57,080 Does anyone have a guess here? 942 00:44:57,080 --> 00:44:58,990 Yup, it's actually going to be zero. 943 00:44:58,990 --> 00:45:02,800 Oxygen already is in its most stable state, so any time 944 00:45:02,800 --> 00:45:05,520 we're talking about an element in their most stable state, 945 00:45:05,520 --> 00:45:06,690 it's going to be zero. 946 00:45:06,690 --> 00:45:09,040 That's going to be the delta h of formation, there 947 00:45:09,040 --> 00:45:11,650 is none, it's zero. 948 00:45:11,650 --> 00:45:15,820 We can also look up what it was for sugar, for glucose, c 949 00:45:15,820 --> 00:45:18,050 6 h 12 o 6. 950 00:45:18,050 --> 00:45:22,406 So that coming from its most stable forms, it was the most 951 00:45:22,406 --> 00:45:25,880 pure form of the elements, is going to be negative 1260 952 00:45:25,880 --> 00:45:27,600 kilojoules per mole. 953 00:45:27,600 --> 00:45:31,060 All of this information has been tabulated and is in 954 00:45:31,060 --> 00:45:33,380 tables, you can refer to them, and they're also in the back 955 00:45:33,380 --> 00:45:35,940 of your textbook, so you can refer to those in terms of 956 00:45:35,940 --> 00:45:37,370 your problem-set. 957 00:45:37,370 --> 00:45:40,410 So let's go ahead and solve a problem actually using the 958 00:45:40,410 --> 00:45:42,030 delta h's of formation. 959 00:45:42,030 --> 00:45:45,100 Let's see if we can do any better to coming close to the 960 00:45:45,100 --> 00:45:47,620 reality for the oxidation of glucose. 961 00:45:47,620 --> 00:45:50,970 So if we're going to calculate the delta h for the reaction 962 00:45:50,970 --> 00:45:54,500 for the oxidation of glucose, or actually for any reaction 963 00:45:54,500 --> 00:45:58,370 at all, what we want to do is take the delta h of formation 964 00:45:58,370 --> 00:46:02,280 of the products and subtract from that the delta h of 965 00:46:02,280 --> 00:46:03,340 formation of the reactants. 966 00:46:03,340 --> 00:46:08,000 So let's go ahead and do that. 967 00:46:08,000 --> 00:46:12,940 And in terms of talking about the oxidation of glucose, if 968 00:46:12,940 --> 00:46:19,410 we talk about delta h of this reaction, what we need to take 969 00:46:19,410 --> 00:46:25,350 is 6 times delta h of formation of c o 2, since 970 00:46:25,350 --> 00:46:28,450 we're forming, that's in our products, we're forming six 971 00:46:28,450 --> 00:46:30,780 moles of c o 2. 972 00:46:30,780 --> 00:46:38,120 Plus 6 times delta h formation of h 2 o, since we're forming 973 00:46:38,120 --> 00:46:41,510 six moles of h 2 o. 974 00:46:41,510 --> 00:46:45,450 And we subtract from that the heat of formation of all of 975 00:46:45,450 --> 00:46:47,260 our reactants. 976 00:46:47,260 --> 00:46:51,640 So we only have one mole, so we just say delta h formation 977 00:46:51,640 --> 00:46:59,770 of c 6 h 12 o 6, and then in addition to that we have six 978 00:46:59,770 --> 00:47:07,760 moles delta h formation of oxygen, of o 2. 979 00:47:07,760 --> 00:47:10,030 All right, so this is our equation here and at this 980 00:47:10,030 --> 00:47:13,310 point what we would do is we would look up what all of the 981 00:47:13,310 --> 00:47:17,150 delta h formation values are for c o 2, h 2 982 00:47:17,150 --> 00:47:21,720 o, sugar, and oxygen. 983 00:47:21,720 --> 00:47:27,910 So what we would find is that we end up having 6 times 984 00:47:27,910 --> 00:47:30,150 negative 393 . 985 00:47:30,150 --> 00:47:32,530 5 -- that's what we had just looked up and 986 00:47:32,530 --> 00:47:35,030 told you for c o 2. 987 00:47:35,030 --> 00:47:39,280 Plus 6 times negative 285 . 988 00:47:39,280 --> 00:47:41,400 8 for the water. 989 00:47:41,400 --> 00:47:51,200 Minus 1 times 1260, so it's negative 1260 990 00:47:51,200 --> 00:47:54,430 for our sugar here. 991 00:47:54,430 --> 00:47:57,570 And then what we're going to end up with is having minus, 992 00:47:57,570 --> 00:48:00,270 and what is it for oxygen again? 993 00:48:00,270 --> 00:48:03,220 So minus 0. 994 00:48:03,220 --> 00:48:06,620 So what we end up with in terms of the delta h for the 995 00:48:06,620 --> 00:48:10,820 entire reaction here, is we end up with negative 2816, and 996 00:48:10,820 --> 00:48:21,920 it's going to be kilojoules per mole of glucose. 997 00:48:21,920 --> 00:48:25,960 All right, so let's see how this matches up, and hopefully 998 00:48:25,960 --> 00:48:28,860 you can actually remember that this matches up actually 999 00:48:28,860 --> 00:48:30,510 perfectly here. 1000 00:48:30,510 --> 00:48:34,450 So what we are going to see is that, in fact, what we 1001 00:48:34,450 --> 00:48:36,630 calculated versus what is experimental 1002 00:48:36,630 --> 00:48:38,100 is dead-on the same. 1003 00:48:38,100 --> 00:48:40,630 So there's actually one more way to figure out the 1004 00:48:40,630 --> 00:48:42,780 enthalpies of a reaction, I'm going to go over 1005 00:48:42,780 --> 00:48:44,510 it just very briefly. 1006 00:48:44,510 --> 00:48:47,510 And that's based on the fact that enthalpy is a state 1007 00:48:47,510 --> 00:48:51,280 function, and by state function what I mean is that 1008 00:48:51,280 --> 00:48:56,220 it doesn't matter how you got from point a to point b, all 1009 00:48:56,220 --> 00:48:58,740 that matters is the difference between the two. 1010 00:48:58,740 --> 00:49:02,030 So another example of a state function is altitude, for 1011 00:49:02,030 --> 00:49:03,120 example, on a mountain. 1012 00:49:03,120 --> 00:49:06,440 So if you're talking about altitude, you go from point a 1013 00:49:06,440 --> 00:49:11,060 to point b on the mountain, and it doesn't matter how you 1014 00:49:11,060 --> 00:49:13,960 got there -- you could have climbed all the way up the top 1015 00:49:13,960 --> 00:49:16,050 of the mountain, then went back down and eventually 1016 00:49:16,050 --> 00:49:17,400 landed on point b. 1017 00:49:17,400 --> 00:49:18,990 Or you could have gone straight from 1018 00:49:18,990 --> 00:49:20,630 point a to point b. 1019 00:49:20,630 --> 00:49:24,000 The change in altitude between point a and point b do not 1020 00:49:24,000 --> 00:49:26,890 depend on the path, they're independent of path. 1021 00:49:26,890 --> 00:49:29,960 So this difference right here does not matter on how you got 1022 00:49:29,960 --> 00:49:32,600 there, it does not make a difference how you got there, 1023 00:49:32,600 --> 00:49:35,650 altitude is a state function. 1024 00:49:35,650 --> 00:49:38,810 So similarly, we can say that enthalpy is a state function 1025 00:49:38,810 --> 00:49:43,290 as well, if we're talking about part reaction a here, 1026 00:49:43,290 --> 00:49:47,770 which has our reactants going to our products in 2 b here. 1027 00:49:47,770 --> 00:49:49,900 It doesn't matter how we got there. 1028 00:49:49,900 --> 00:49:52,550 We can actually calculate the change in enthalpy at all 1029 00:49:52,550 --> 00:49:53,860 different points here. 1030 00:49:53,860 --> 00:49:56,840 All that we actually have to worry about at the end of the 1031 00:49:56,840 --> 00:49:59,510 day is the difference between a and b. 1032 00:49:59,510 --> 00:50:02,320 So that's what we mean by state function. 1033 00:50:02,320 --> 00:50:04,440 Actually, we're not going to have a chance to get to fully 1034 00:50:04,440 --> 00:50:07,950 explaining the consequence of this, which is Hess's law, 1035 00:50:07,950 --> 00:50:11,930 which allows us to add and subtract different reactions. 1036 00:50:11,930 --> 00:50:14,880 So what I'm going to say is the last two problems on your 1037 00:50:14,880 --> 00:50:17,580 problem-set you won't have to do because we're not going to 1038 00:50:17,580 --> 00:50:20,230 get a chance to cover in class on Friday. 1039 00:50:20,230 --> 00:50:24,270 So I'll send out an email about this as well, so that'll 1040 00:50:24,270 --> 00:50:25,940 be pushed back. 1041 00:50:25,940 --> 00:50:29,070 So, it will be on the exam, so you want to do them at some 1042 00:50:29,070 --> 00:50:31,350 point, but you don't need to actually turn those in. 1043 00:50:31,350 --> 00:50:34,260 So those are the last two problems, I believe.