1 00:00:00 --> 00:00:00 2 00:00:00 --> 00:00:00 The following content is provided under a Creative 3 00:00:00 --> 00:00:00 Commons license. 4 00:00:00 --> 00:00:00 Your support will help MIT OpenCourseWare continue to 5 00:00:00 --> 00:00:00 offer high quality educational resources for free. 6 00:00:00 --> 00:00:00 To make a donation or view additional materials from 7 00:00:00 --> 00:00:00 hundreds of MIT courses visit MIT OpenCourseWare 8 00:00:00 --> 00:00:00 at ocw.mit.edu. 9 00:00:17 --> 00:00:23 PROFESSOR: OK, let's get started. 10 00:00:23 --> 00:00:27 Why doesn't everyone go ahead and take 10 more seconds 11 00:00:27 --> 00:00:29 on this clicker question. 12 00:00:29 --> 00:00:29 It should look familiar. 13 00:00:29 --> 00:00:33 You were pretty split on this question on Friday, so we're 14 00:00:33 --> 00:00:36 hoping after learning a little bit more about delta g of 15 00:00:36 --> 00:00:41 formation, we have at least one direction that wins out here. 16 00:00:41 --> 00:00:42 OK, great. 17 00:00:42 --> 00:00:46 So now we're up to 85% of you, and hopefully in just a minute 18 00:00:46 --> 00:00:47 we'll be up to a 100%. 19 00:00:47 --> 00:00:51 But if delta g of formation here is less than zero, that 20 00:00:51 --> 00:00:54 means we're talking about a spontaneous reaction when 21 00:00:54 --> 00:00:56 we form the compound. 22 00:00:56 --> 00:00:59 So if it spontaneously forms the compound, that must mean 23 00:00:59 --> 00:01:02 that the compound is going to be stable relative 24 00:01:02 --> 00:01:03 to its elements. 25 00:01:03 --> 00:01:07 So that's kind of the last thing we went over in terms of 26 00:01:07 --> 00:01:14 topics on Friday, and we'll pick up right there today. 27 00:01:14 --> 00:01:15 All right. 28 00:01:15 --> 00:01:18 Here we have our notes for today, so reminder exam 2 is on 29 00:01:18 --> 00:01:21 Wednesday -- I don't think I need to remind anyone of that. 30 00:01:21 --> 00:01:23 But just please, don't come to this room, make sure that you 31 00:01:23 --> 00:01:27 go to Walker to take the exam. 32 00:01:27 --> 00:01:29 And also if you have any questions or you feel like 33 00:01:29 --> 00:01:32 there's anything you don't understand, I have office hours 34 00:01:32 --> 00:01:35 today from 2 to 4 in my office. 35 00:01:35 --> 00:01:38 Your TAs have also all moved their office hours so they 36 00:01:38 --> 00:01:39 fall before the exam. 37 00:01:39 --> 00:01:42 So make sure you get any of your questions addressed before 38 00:01:42 --> 00:01:47 you're trying to sit there and figure it out in exam time. 39 00:01:47 --> 00:01:49 All right, so today we're going to pick up where we left off on 40 00:01:49 --> 00:01:52 thermodynamics, so that was talking about free 41 00:01:52 --> 00:01:54 energy of formation. 42 00:01:54 --> 00:01:56 After that we're going to talk a little bit more about the 43 00:01:56 --> 00:01:58 effect of temperature on spontaneity. 44 00:01:58 --> 00:02:01 We touched upon this on Friday, but we're going to formalize 45 00:02:01 --> 00:02:05 exactly in which cases temperature can or can not 46 00:02:05 --> 00:02:08 affect whether a reaction is spontaneous or non-spontaneous. 47 00:02:08 --> 00:02:12 Then we're going to look a little bit into thermodynamics 48 00:02:12 --> 00:02:13 and biological systems. 49 00:02:13 --> 00:02:16 Two examples that I wanted to talk about were ATP coupled 50 00:02:16 --> 00:02:19 reactions -- those are very important in biology. 51 00:02:19 --> 00:02:22 And also, thinking about the idea of hydrogen bonding, we're 52 00:02:22 --> 00:02:25 going to combine our thoughts on bond enthalpies, and also 53 00:02:25 --> 00:02:29 our ideas of bonding that we had from thinking about 54 00:02:29 --> 00:02:30 covalent and ionic bonds. 55 00:02:30 --> 00:02:34 All right, so let's finish up first with free 56 00:02:34 --> 00:02:35 energy of formation. 57 00:02:35 --> 00:02:40 So as 85% of you just told me, when we have a case where delta 58 00:02:40 --> 00:02:43 g of formation is less than zero, what we're talking about 59 00:02:43 --> 00:02:47 here is a compound that is thermodynamically stable 60 00:02:47 --> 00:02:49 relative to its elements. 61 00:02:49 --> 00:02:52 So that means we know the inverse as well, which is when 62 00:02:52 --> 00:02:55 we're talking about a case where delta g is now greater 63 00:02:55 --> 00:02:59 than zero, the compound is going to be thermodynamically 64 00:02:59 --> 00:03:01 unstable relative to its elements. 65 00:03:01 --> 00:03:05 So any time you're looking at delta g of formation, just 66 00:03:05 --> 00:03:08 remember to think about this is just the delta g of a reaction 67 00:03:08 --> 00:03:10 where you're forming a compound. 68 00:03:10 --> 00:03:12 So it should make sense that if it's negative, it's going to be 69 00:03:12 --> 00:03:17 spontaneous and you're going to have a stable compound here. 70 00:03:17 --> 00:03:21 So we could look at any number of examples, really we could 71 00:03:21 --> 00:03:24 pick any compound to look at, but up on the screen here I'm 72 00:03:24 --> 00:03:26 just putting the compound, the formation of benzene, we've 73 00:03:26 --> 00:03:28 looked at benzene a lot. 74 00:03:28 --> 00:03:31 So benzene has a delta g of formation of 124 75 00:03:31 --> 00:03:32 kilojoules per mole. 76 00:03:32 --> 00:03:39 Is benzene stable or unstable compared to its elements? 77 00:03:39 --> 00:03:42 I can't really tell the difference between stable and 78 00:03:42 --> 00:03:43 unstable when you say it, so everyone start at 79 00:03:43 --> 00:03:44 the same time, go. 80 00:03:44 --> 00:03:46 STUDENT: Unstable. 81 00:03:46 --> 00:03:47 PROFESSOR: OK, excellent. 82 00:03:47 --> 00:03:50 Benzene is unstable compared to its elements. 83 00:03:50 --> 00:03:53 So that means the reverse reaction here is going to be 84 00:03:53 --> 00:03:55 stable -- or the reverse reaction is going to be 85 00:03:55 --> 00:03:58 spontaneous where we actually have the decomposition 86 00:03:58 --> 00:03:59 of benzene. 87 00:03:59 --> 00:04:01 So when we're seeing this, when we're seeing that the reverse 88 00:04:01 --> 00:04:05 reaction is spontaneous, a question that might immediately 89 00:04:05 --> 00:04:07 come to us is well, why did we just spend all the time talking 90 00:04:07 --> 00:04:10 about benzene because clearly benzene's just going 91 00:04:10 --> 00:04:11 to break down, right. 92 00:04:11 --> 00:04:13 Why do we form benzene and not have it immediately 93 00:04:13 --> 00:04:15 decompose into its elements. 94 00:04:15 --> 00:04:19 Thermodynamically that is what should happen and it is what 95 00:04:19 --> 00:04:22 does happen, but the reality is that this reaction, this 96 00:04:22 --> 00:04:26 decomposition of benzene is actually very, very slow. 97 00:04:26 --> 00:04:29 It's so slow that, you know we use benzene all the time in 98 00:04:29 --> 00:04:33 organic reactions, we don't see it break down even when we heat 99 00:04:33 --> 00:04:37 it up, is because even though this is thermodynamically a 100 00:04:37 --> 00:04:41 non-spontaneous reaction to form benzene, it's very slow 101 00:04:41 --> 00:04:45 for the actual decomposition of benzene to occur. 102 00:04:45 --> 00:04:48 So this is just another case, and I'll keep saying this, and 103 00:04:48 --> 00:04:51 when Professor Drennan starts talking about kinetics, she'll 104 00:04:51 --> 00:04:52 keep repeating this as well. 105 00:04:52 --> 00:04:56 What we want to keep in mind is that delta g tells us whether 106 00:04:56 --> 00:04:58 a reaction will happen or whether it won't happen. 107 00:04:58 --> 00:05:02 It tells us absolutely nothing about how long it takes for 108 00:05:02 --> 00:05:03 that reaction to happen. 109 00:05:03 --> 00:05:07 It tells us nothing about the rate of the reaction. 110 00:05:07 --> 00:05:10 We'll keep seeing examples of this, so hopefully no one will 111 00:05:10 --> 00:05:13 be confused by the time we do get to kinetics. 112 00:05:13 --> 00:05:16 So if we're talking about calculating delta g for any 113 00:05:16 --> 00:05:18 reaction, now we actually have several ways to do it. 114 00:05:18 --> 00:05:21 The first way is very analogous to thinking about delta 115 00:05:21 --> 00:05:22 h for the reaction. 116 00:05:22 --> 00:05:24 We can just look up a table where we have 117 00:05:24 --> 00:05:26 delta g as a formation. 118 00:05:26 --> 00:05:29 So we can take the sum of the delta g of formation of the 119 00:05:29 --> 00:05:32 products, and subtract from it the delta g of formation 120 00:05:32 --> 00:05:34 of the reactants. 121 00:05:34 --> 00:05:36 We also have another way if maybe we don't have that 122 00:05:36 --> 00:05:38 information available to us. 123 00:05:38 --> 00:05:43 We can also take a look at using this reaction or this 124 00:05:43 --> 00:05:46 equation right here, which is telling us that delta g of a 125 00:05:46 --> 00:05:51 reaction is equal to the change in enthalpy minus t delta s. 126 00:05:51 --> 00:05:52 So that tends to be very helpful, especially when 127 00:05:52 --> 00:05:57 we want to take into consideration temperature. 128 00:05:57 --> 00:05:58 So let's take into consideration temperature. 129 00:05:58 --> 00:06:01 We've done this a little bit so far, but let's really take a 130 00:06:01 --> 00:06:04 look at some reactions where temperature's going to 131 00:06:04 --> 00:06:05 make a big difference. 132 00:06:05 --> 00:06:07 So the reaction we're going to look at here is the 133 00:06:07 --> 00:06:10 decomposition of sodium bicarbonate, or sodium bicarb 134 00:06:10 --> 00:06:15 here, and it decomposes it into sodium carbonate, plus c o 2, 135 00:06:15 --> 00:06:17 carbon dioxide, and water. 136 00:06:17 --> 00:06:20 So we can think about calculating that delta 137 00:06:20 --> 00:06:21 g of this reaction. 138 00:06:21 --> 00:06:24 I'll tell you that the change in enthalpy, this is actually 139 00:06:24 --> 00:06:25 an endothermic reaction. 140 00:06:25 --> 00:06:26 It requires heat. 141 00:06:26 --> 00:06:28 It's plus 135 . 142 00:06:28 --> 00:06:30 6 kilojoules per mole. 143 00:06:30 --> 00:06:32 So let's go to a clicker question and I want you to pick 144 00:06:32 --> 00:06:36 out from several choices which of the changes in entropy 145 00:06:36 --> 00:06:41 seem reasonable to you here. 146 00:06:41 --> 00:06:43 So what would you predict the delta s for this 147 00:06:43 --> 00:06:51 reaction to be? 148 00:06:51 --> 00:07:06 All right, let's do 10 more seconds on that. 149 00:07:06 --> 00:07:10 OK, so we've got the majority, but not everyone. 150 00:07:10 --> 00:07:13 So let's take a look at why this is the correct answer, 151 00:07:13 --> 00:07:16 that it should be plus 0.334 . 152 00:07:16 --> 00:07:21 If we're going from 2 moles of solid, to 1 mole of solid, plus 153 00:07:21 --> 00:07:25 2 moles of gas, are we increasing or decreasing 154 00:07:25 --> 00:07:26 the disorder? 155 00:07:26 --> 00:07:28 STUDENT: [INAUDIBLE] 156 00:07:28 --> 00:07:29 PROFESSOR: We're increasing the disorder. 157 00:07:29 --> 00:07:32 If we're getting to a more disordered state, then we're 158 00:07:32 --> 00:07:35 going to have a positive change in entropy. 159 00:07:35 --> 00:07:37 We're going to increase the disorder. 160 00:07:37 --> 00:07:40 The only one with a positive delta s is this choice here. 161 00:07:40 --> 00:07:45 So if we switch back to our notes, we can see that, in 162 00:07:45 --> 00:07:54 fact, so what we see is that it's 0.334 kilojoules per k per 163 00:07:54 --> 00:07:59 mole is our delta s, so we can go ahead and calculate our 164 00:07:59 --> 00:08:01 delta g for the reaction, so we're just plugging 165 00:08:01 --> 00:08:03 in our delta h. 166 00:08:03 --> 00:08:06 So our delta h is 135 . 167 00:08:06 --> 00:08:07 6. 168 00:08:07 --> 00:08:09 And we're talking about to start with let's talk 169 00:08:09 --> 00:08:11 about room temperature. 170 00:08:11 --> 00:08:18 So 298 k times 0.334 . 171 00:08:18 --> 00:08:20 So what we end up having for the delta g of our 172 00:08:20 --> 00:08:22 reaction is that its 36 . 173 00:08:22 --> 00:08:24 1 kilojoules per mole. 174 00:08:24 --> 00:08:26 So this is at room temperature. 175 00:08:26 --> 00:08:29 So is our reaction spontaneous or non-spontaneous 176 00:08:29 --> 00:08:30 at room temperature? 177 00:08:30 --> 00:08:31 STUDENT: Non-spontaneous. 178 00:08:31 --> 00:08:32 PROFESSOR: Non-spontaneous. 179 00:08:32 --> 00:08:34 All right, but let's take a look at a different 180 00:08:34 --> 00:08:35 temperature. 181 00:08:35 --> 00:08:37 For example, let's look at baking temperature. 182 00:08:37 --> 00:08:40 So if we think about baking cookies, we maybe bake them at 183 00:08:40 --> 00:08:45 350 degrees fahrenheit, so that would be 450 kelvin -- our 184 00:08:45 --> 00:08:48 ovens are usually set to fahrenheit and not kelvin. 185 00:08:48 --> 00:08:51 So if we think about this reaction that this temperature, 186 00:08:51 --> 00:08:53 first of all let me point out why we would be talking about 187 00:08:53 --> 00:08:56 baking cookies for this particular reaction here. 188 00:08:56 --> 00:08:59 Does anyone know what another name for sodium bicarb is? 189 00:08:59 --> 00:09:00 STUDENT: [INAUDIBLE] 190 00:09:00 --> 00:09:02 PROFESSOR: Yeah, it's just baking soda. 191 00:09:02 --> 00:09:04 So this is the reaction that causes your cookies or your 192 00:09:04 --> 00:09:06 cakes to actually rise. 193 00:09:06 --> 00:09:10 So we're producing gas here, and when we're producing that 194 00:09:10 --> 00:09:12 gas when this sodium bicarb decomposes, we're forming 195 00:09:12 --> 00:09:15 these pockets of gas in our baked goods. 196 00:09:15 --> 00:09:19 So if we bake our cookies at room temperature, obviously, 197 00:09:19 --> 00:09:24 they don't bake and they also don't rise because the sodium 198 00:09:24 --> 00:09:26 bicarb, clearly it was non-spontaneous at room 199 00:09:26 --> 00:09:28 temperature, this reaction just doesn't happen. 200 00:09:28 --> 00:09:31 But if we take a look at baking temperature now, we're going to 201 00:09:31 --> 00:09:36 plug in this new temperature, which is 450 k, and plug this 202 00:09:36 --> 00:09:38 into our delta g reaction. 203 00:09:38 --> 00:09:41 What we find is now our delta g for the reaction 204 00:09:41 --> 00:09:43 is negative 14 . 205 00:09:43 --> 00:09:46 7 kilojoules per mole. 206 00:09:46 --> 00:09:49 So in this case, we are dealing with a spontaneous reaction, 207 00:09:49 --> 00:09:51 which is good, because this means that when we put our 208 00:09:51 --> 00:09:56 cookies in and we turn it to 350 fahrenheit or 450 k, the 209 00:09:56 --> 00:09:59 baking soda will decompose and we'll got our cookies 210 00:09:59 --> 00:10:01 to rise a little bit. 211 00:10:01 --> 00:10:04 All right, so one thing that I want you to notice when we were 212 00:10:04 --> 00:10:08 talking about the case with the decomposition of sodium bicarb 213 00:10:08 --> 00:10:11 is that the delta h for that reaction and the delta s, 214 00:10:11 --> 00:10:13 they both had the same sign. 215 00:10:13 --> 00:10:17 And something that you can keep in mind in general is any time 216 00:10:17 --> 00:10:20 that both delta h and delta s have the same sign, it's 217 00:10:20 --> 00:10:23 actually possible to switch from spontaneous to 218 00:10:23 --> 00:10:26 non-spontaneous or vice versa just by changing the 219 00:10:26 --> 00:10:29 temperature of the reaction. 220 00:10:29 --> 00:10:31 And we can think about this graphically. 221 00:10:31 --> 00:10:34 If we assume that delta h and delta s are independent of 222 00:10:34 --> 00:10:36 temperature, which is a good assumption to a first 223 00:10:36 --> 00:10:39 approximation, in this case we find that the delta g of the 224 00:10:39 --> 00:10:43 reaction is the linear function of the temperature. 225 00:10:43 --> 00:10:46 So that means we can go ahead and graph what we saw for 226 00:10:46 --> 00:10:49 the case of baking soda. 227 00:10:49 --> 00:10:51 So our first point here was that we saw at room 228 00:10:51 --> 00:10:55 temperature, about 298 k, the delta g was positive, it was 229 00:10:55 --> 00:10:58 36 kilojoules per mole. 230 00:10:58 --> 00:11:02 We also saw that once we heated it up to baking temperature, we 231 00:11:02 --> 00:11:05 actually had the delta g now at negative 15 232 00:11:05 --> 00:11:07 kilojoules per mole. 233 00:11:07 --> 00:11:11 So since this is linear, we can actually draw a straight line 234 00:11:11 --> 00:11:14 right through here, and we can think about the fact that we 235 00:11:14 --> 00:11:17 have this temperature here where anything below this 236 00:11:17 --> 00:11:20 temperature has a positive delta g, and anything above 237 00:11:20 --> 00:11:23 this temperature is going to have a negative delta g. 238 00:11:23 --> 00:11:26 And let's actually think about the fact that this is a line 239 00:11:26 --> 00:11:29 and see what our slope and our y-intercept is going to mean. 240 00:11:29 --> 00:11:33 We can say that delta g is equal to negative delta s t 241 00:11:33 --> 00:11:36 plus delta h, if we want to put it in the formation 242 00:11:36 --> 00:11:37 of the equation for line. 243 00:11:37 --> 00:11:40 So what this tells us is that our slope is going to be 244 00:11:40 --> 00:11:45 negative delta s here, and if we think about our y-intercept, 245 00:11:45 --> 00:11:51 that's going to be the change in enthalpy for the reaction. 246 00:11:51 --> 00:11:54 So again, what I want to point out is that any time we're at a 247 00:11:54 --> 00:11:56 temperature that's lower than this change in temperature 248 00:11:56 --> 00:12:00 here, we're going to find that delta g is greater than zero, 249 00:12:00 --> 00:12:02 and we're going to be dealing with a non-spontaneous 250 00:12:02 --> 00:12:04 reaction. 251 00:12:04 --> 00:12:08 However, if we move our temperature up and up and up so 252 00:12:08 --> 00:12:10 we go across the graph this way, eventually we'll hit a 253 00:12:10 --> 00:12:13 point where if we're above that temperature, we'll find 254 00:12:13 --> 00:12:16 that delta g is less than zero, and now we have a 255 00:12:16 --> 00:12:21 spontaneous reaction. 256 00:12:21 --> 00:12:24 So we can actually think about what this temperature is. 257 00:12:24 --> 00:12:26 We can call this T star. 258 00:12:26 --> 00:12:29 This is the temperature at which our reaction switches, 259 00:12:29 --> 00:12:31 whether it's spontaneous or non-spontaneous. 260 00:12:31 --> 00:12:33 And if you're thinking about trying to get a reaction to 261 00:12:33 --> 00:12:36 go, it's very important to be able to calculate what 262 00:12:36 --> 00:12:37 this temperature is. 263 00:12:37 --> 00:12:40 A lot of times in organic chemistry laboratories, they 264 00:12:40 --> 00:12:43 need to heat up reactions -- part of why they do that is 265 00:12:43 --> 00:12:45 kinetics, but the other part is sometimes they need to make 266 00:12:45 --> 00:12:49 a reaction go from being non-spontaneous to spontaneous. 267 00:12:49 --> 00:12:53 So let's think about how to calculate T star or this 268 00:12:53 --> 00:12:54 change in temperature. 269 00:12:54 --> 00:12:56 So we're talking about this threshold temperature, so we're 270 00:12:56 --> 00:13:00 talking about where delta g is going to be equal to zero, 271 00:13:00 --> 00:13:03 because if we set delta g equal to zero, we know that anything 272 00:13:03 --> 00:13:05 on one side of that temperature is going to be spontaneous, and 273 00:13:05 --> 00:13:09 the other side is going to be non-spontaneous. 274 00:13:09 --> 00:13:12 So if we do this, we can just rewrite our reaction, delta g 275 00:13:12 --> 00:13:17 equals delta h minus t delta s, and let's plug in our zero for 276 00:13:17 --> 00:13:20 delta g there, and now rearrange our reaction so that 277 00:13:20 --> 00:13:23 we're talking about this threshold temperature. 278 00:13:23 --> 00:13:26 So that T star is just going to be equal to the change 279 00:13:26 --> 00:13:29 in enthalpy divided by the change in entropy. 280 00:13:29 --> 00:13:32 So it's very easy for us to calculate, so let's go 281 00:13:32 --> 00:13:34 ahead and do this for the case with baking soda. 282 00:13:34 --> 00:13:39 And for baking soda what we saw was that delta h was 136 283 00:13:39 --> 00:13:43 kilojoules per mole, and the change in entropy was 0.334 284 00:13:43 --> 00:13:46 kilojoules per k mole. 285 00:13:46 --> 00:13:49 And that means if we do that simple division, then what we 286 00:13:49 --> 00:13:55 end up as our temperature star is 406 kelvin. 287 00:13:55 --> 00:13:58 So basically, what this tells us is if we tried to bake our 288 00:13:58 --> 00:14:02 cookies below 406 kelvin they would not rise, if we bake them 289 00:14:02 --> 00:14:06 above 406 kelvin they will rise because this reaction 290 00:14:06 --> 00:14:07 is now spontaneous. 291 00:14:07 --> 00:14:12 All right, so this was a case where we had seen that the 292 00:14:12 --> 00:14:16 delta h and the delta s both had a positive value. 293 00:14:16 --> 00:14:19 But let's take a look at what happens when now delta h and 294 00:14:19 --> 00:14:22 delta s are both negative. 295 00:14:22 --> 00:14:25 So we can think about this just by plotting it on our graph 296 00:14:25 --> 00:14:27 again -- we don't have actual values, but we can think about 297 00:14:27 --> 00:14:29 what the sign should be. 298 00:14:29 --> 00:14:33 So if we talk about our zero point where temperature is 299 00:14:33 --> 00:14:37 absolute zero, if we have a positive, or excuse me, if we 300 00:14:37 --> 00:14:41 have a negative delta h now and we're at temperature equals 301 00:14:41 --> 00:14:44 zero, what is delta g going to be? 302 00:14:44 --> 00:14:47 Negative or positive? 303 00:14:47 --> 00:14:48 Yeah, it's going to be negative. 304 00:14:48 --> 00:14:51 So if we have negative delta h and we're at temperature of 305 00:14:51 --> 00:14:54 zero, our s term completely falls out, so we're definitely 306 00:14:54 --> 00:14:57 going to start with a negative delta g. 307 00:14:57 --> 00:15:00 As we increase the temperature higher and higher, at some 308 00:15:00 --> 00:15:03 point that delta s term is going to become greater than 309 00:15:03 --> 00:15:05 our delta h term, so at some point we're going to flip 310 00:15:05 --> 00:15:09 to where the reaction has now a positive delta g. 311 00:15:09 --> 00:15:12 So you can draw this into your graphs in your notes where 312 00:15:12 --> 00:15:15 we're going to start, in this case if delta g is negative 313 00:15:15 --> 00:15:18 where delta g starts negative, and then when it hits that 314 00:15:18 --> 00:15:20 threshold temperature, anything above that temperature 315 00:15:20 --> 00:15:22 is going to be positive. 316 00:15:22 --> 00:15:24 So if we had actual numbers we could plug those into our 317 00:15:24 --> 00:15:27 graph, but we should be able to understand what the general 318 00:15:27 --> 00:15:30 trend is going to be even in a hypothetical case where we're 319 00:15:30 --> 00:15:37 just dealing with is it positive or is it negative. 320 00:15:37 --> 00:15:40 So what we see is that below this temperature, we have a 321 00:15:40 --> 00:15:43 spontaneous reaction, and above this temperature we have a 322 00:15:43 --> 00:15:45 non-spontaneous reaction. 323 00:15:45 --> 00:15:48 That was flipped from the case where we had delta h and 324 00:15:48 --> 00:15:49 delta s both be positive. 325 00:15:49 --> 00:15:54 All right, so let's actually summarize what all of our four 326 00:15:54 --> 00:15:57 different scenarios could be if we're dealing with delta 327 00:15:57 --> 00:15:59 h's and delta s's. 328 00:15:59 --> 00:16:02 So to start with, why don't you tell me what you think if we 329 00:16:02 --> 00:16:07 have a reaction where we have a negative delta h and we have a 330 00:16:07 --> 00:16:11 positive delta s, do you think that this will be a reaction 331 00:16:11 --> 00:16:14 that's never spontaneous, always spontaneous, or will 332 00:16:14 --> 00:16:16 this be one of these cases where the spontaneity 333 00:16:16 --> 00:16:18 depends on temperature? 334 00:16:18 --> 00:16:40 All right, let's take 10 more seconds on this. 335 00:16:40 --> 00:16:41 OK, great. 336 00:16:41 --> 00:16:42 So most of you got it. 337 00:16:42 --> 00:16:45 So let's go back to the slides and think a little bit 338 00:16:45 --> 00:16:46 about why this is. 339 00:16:46 --> 00:16:50 So, this case is always spontaneous, because in this 340 00:16:50 --> 00:16:54 case we have a negative delta h, which contributes to a 341 00:16:54 --> 00:16:59 negative delta g, and a positive delta s, but since the 342 00:16:59 --> 00:17:03 equation says minus t delta s, that means a positive delta s 343 00:17:03 --> 00:17:06 is also going to contribute to a negative delta g. 344 00:17:06 --> 00:17:08 So regardless of what the temperature is, we're going to 345 00:17:08 --> 00:17:10 have a spontaneous reaction. 346 00:17:10 --> 00:17:13 So we say this is always spontaneous -- delta g is less 347 00:17:13 --> 00:17:15 than zero at all temperatures. 348 00:17:15 --> 00:17:18 All right. 349 00:17:18 --> 00:17:21 So let's look at the reverse case here where delta h is 350 00:17:21 --> 00:17:25 now greater than zero, and delta s is less than zero. 351 00:17:25 --> 00:17:29 Is this always, never, or sometimes spontaneous? 352 00:17:29 --> 00:17:32 STUDENT: [INAUDIBLE] 353 00:17:32 --> 00:17:34 PROFESSOR: Nope. 354 00:17:34 --> 00:17:38 So, this is going to be never spontaneous in this case. 355 00:17:38 --> 00:17:42 So for the same reason, because delta h is greater than zero, 356 00:17:42 --> 00:17:46 that contributes to a positive delta g, and delta s being 357 00:17:46 --> 00:17:48 negative also contributes to a positive delta g. 358 00:17:48 --> 00:17:52 So we'll say again, that this delta g is greater than 359 00:17:52 --> 00:17:53 zero at all temperatures. 360 00:17:53 --> 00:17:57 All right, so now we have a case where delta h is greater 361 00:17:57 --> 00:18:01 than zero and delta s is greater than zero as well. 362 00:18:01 --> 00:18:03 Is this going to be always, never, or sometimes 363 00:18:03 --> 00:18:04 spontaneous? 364 00:18:04 --> 00:18:06 STUDENT: Sometimes. 365 00:18:06 --> 00:18:07 PROFESSOR: Sometimes, good. 366 00:18:07 --> 00:18:09 So, even before thinking, you can just remember if the signs 367 00:18:09 --> 00:18:13 are the same, we can have a dependence on temperature here. 368 00:18:13 --> 00:18:16 So what we find is that this is sometimes spontaneous. 369 00:18:16 --> 00:18:18 So we can think about when this happens. 370 00:18:18 --> 00:18:22 Would it be when the actual temperature is greater 371 00:18:22 --> 00:18:24 or less than that threshold temperature? 372 00:18:24 --> 00:18:27 STUDENT: [INAUDIBLE] 373 00:18:27 --> 00:18:28 PROFESSOR: All right, so I heard a lot of people 374 00:18:28 --> 00:18:29 say greater than. 375 00:18:29 --> 00:18:32 It's greater than, because when it's greater than that 376 00:18:32 --> 00:18:35 threshold temperature, that means that the delta s term is 377 00:18:35 --> 00:18:38 the one that's going to actually sort of take over, 378 00:18:38 --> 00:18:41 it's going to be at some point greater than the delta h term. 379 00:18:41 --> 00:18:45 The delta h is going to be making the delta g positive. 380 00:18:45 --> 00:18:48 That means it would make it non-spontaneous, but once delta 381 00:18:48 --> 00:18:51 s gets large enough, that's going to override, and now 382 00:18:51 --> 00:18:53 we're going to have a negative delta g only when the 383 00:18:53 --> 00:18:57 temperature is above that threshold temperature. 384 00:18:57 --> 00:19:01 So similarly, when we see that delta h is negative and delta s 385 00:19:01 --> 00:19:05 is negative, this is also going to be sometimes spontaneous, 386 00:19:05 --> 00:19:09 and specifically, it will be spontaneous or delta g will be 387 00:19:09 --> 00:19:12 less than 0 when the temperature is less than that 388 00:19:12 --> 00:19:13 threshold temperature. 389 00:19:13 --> 00:19:16 All right, so you should be able to look at any situation 390 00:19:16 --> 00:19:20 where you have or you figure out or you calculate the 391 00:19:20 --> 00:19:23 enthalpy and the enthropy change in the reaction, and you 392 00:19:23 --> 00:19:26 should right away, before doing any calculations, be able to 393 00:19:26 --> 00:19:29 know is this always spontaneous, is this never 394 00:19:29 --> 00:19:31 spontaneous, or is this something where I'm going to 395 00:19:31 --> 00:19:34 need to really take temperature into consideration. 396 00:19:34 --> 00:19:38 And if I do, you can actually calculate what that temperature 397 00:19:38 --> 00:19:40 is going to be where you flip from spontaneous to 398 00:19:40 --> 00:19:42 non-spontaneous or vice versa. 399 00:19:42 --> 00:19:46 All right, so shifting gears a little bit, let's take a look 400 00:19:46 --> 00:19:49 at a few examples where it's important to think about 401 00:19:49 --> 00:19:52 thermodynamics and biological systems. 402 00:19:52 --> 00:19:55 So there's two things I particularly want to focus on. 403 00:19:55 --> 00:19:59 So the first is the idea of ATP coupled reactions. 404 00:19:59 --> 00:20:01 So this is really important, because when we're talking 405 00:20:01 --> 00:20:05 about biological reactions, a lot of the reactions that take 406 00:20:05 --> 00:20:08 place in our body are actually non-spontaneous, so 407 00:20:08 --> 00:20:11 energetically we figure that the delta g for this reaction 408 00:20:11 --> 00:20:13 is actually positive. 409 00:20:13 --> 00:20:16 So I just show a schematic biological reaction here where 410 00:20:16 --> 00:20:20 we have some molecule that's broken up into two 411 00:20:20 --> 00:20:21 building blocks. 412 00:20:21 --> 00:20:23 So let's say, for example, this has a delta g that's 413 00:20:23 --> 00:20:25 greater than zero. 414 00:20:25 --> 00:20:27 We need to think about how it is that our body can actually 415 00:20:27 --> 00:20:29 make this reaction happen. 416 00:20:29 --> 00:20:32 And the way that it does this is that it takes the hydrolysis 417 00:20:32 --> 00:20:36 of ATP, and the hydrolysis of ATP is what's called that 418 00:20:36 --> 00:20:40 it's coupled to this non-spontaneous reaction. 419 00:20:40 --> 00:20:44 And when you have a spontaneous reaction coupled to a 420 00:20:44 --> 00:20:47 non-spontaneous reaction, you can potentially drive 421 00:20:47 --> 00:20:49 the reaction in the forward direction. 422 00:20:49 --> 00:20:53 Remember the hydrolysis of ATP is spontaneous, so what we're 423 00:20:53 --> 00:20:57 doing in this case is we're taking a spontaneous reaction 424 00:20:57 --> 00:21:00 where we give off energy, and we're coupling it to a 425 00:21:00 --> 00:21:03 non-spontaneous reaction that requires energy. 426 00:21:03 --> 00:21:07 So what we will hope is when we add up the total energy changes 427 00:21:07 --> 00:21:10 between these two reactions, if the sum of those two is a 428 00:21:10 --> 00:21:14 negative delta g total, now we can have this whole process 429 00:21:14 --> 00:21:17 move in the forward direction. 430 00:21:17 --> 00:21:21 So let's take a look at thinking about what we can do 431 00:21:21 --> 00:21:22 in terms of a coupled reaction. 432 00:21:22 --> 00:21:24 The first thing we need to do if we're thinking about using 433 00:21:24 --> 00:21:29 the hydrolysis of ATP is actually calculate what the 434 00:21:29 --> 00:21:34 delta g for the reaction of ATP hydrolysis is, and I picked 310 435 00:21:34 --> 00:21:36 kelvin because that's the temperature of our bodies. 436 00:21:36 --> 00:21:41 So again, this reaction is taking adenosine triphosphate 437 00:21:41 --> 00:21:44 that has three phosphate groups and hydrolyzing it, so reacting 438 00:21:44 --> 00:21:51 it with water to form ADP plus phosphate plus acid here. 439 00:21:51 --> 00:21:54 So I'll tell you that the delta h of this reaction is negative 440 00:21:54 --> 00:21:56 24 kilojoules per mole. 441 00:21:56 --> 00:21:59 This is what we actually calculated in class on Friday. 442 00:21:59 --> 00:22:05 And that the delta s is plus 22 joules per k, per mole, so we 443 00:22:05 --> 00:22:09 can go ahead and calculate what this delta g is here. 444 00:22:09 --> 00:22:14 So the delta g of this overall reaction is just going to be, 445 00:22:14 --> 00:22:19 of course, delta h minus t delta s, and our delta h is 446 00:22:19 --> 00:22:26 minus 24 kilojoules per mole, and we'll subtract 447 00:22:26 --> 00:22:30 310 kelvin times 0 . 448 00:22:30 --> 00:22:38 022 kilojoules over k mole. 449 00:22:38 --> 00:22:43 So if we do this, what we end up getting is a delta g of 450 00:22:43 --> 00:22:47 negative 31 kilojoules per mole of ATP. 451 00:22:47 --> 00:22:52 All right, so again, this is good, we got a negative number, 452 00:22:52 --> 00:22:53 that's what we were expecting. 453 00:22:53 --> 00:22:57 So that means that we will have energy available to use if we 454 00:22:57 --> 00:23:01 hydrolyize ATP and couple it to another reaction here. 455 00:23:01 --> 00:23:04 So what we saw for our delta g, negative 31 456 00:23:04 --> 00:23:05 kilojoules per mole. 457 00:23:05 --> 00:23:09 All right, so let's talk about a reaction that is a ATP 458 00:23:09 --> 00:23:12 coupled reaction, and there's just tons of examples 459 00:23:12 --> 00:23:13 of this in our body. 460 00:23:13 --> 00:23:16 One I picked because it has to do with glucose, which we have 461 00:23:16 --> 00:23:19 talked so much about, is the conversion of glucose 462 00:23:19 --> 00:23:22 to glucose 6 p. 463 00:23:22 --> 00:23:25 So 6 p -- p just stands for a phosphate group here, so what 464 00:23:25 --> 00:23:29 we're doing is taking, if we numbered the glucose carbons, 465 00:23:29 --> 00:23:32 this would be carbon number six, and we're putting a 466 00:23:32 --> 00:23:34 phosphate group on carbon number six. 467 00:23:34 --> 00:23:38 So first of all, why would our body need to do this reaction? 468 00:23:38 --> 00:23:40 It turns out that glucose, we know that we use 469 00:23:40 --> 00:23:42 glucose for energy. 470 00:23:42 --> 00:23:47 Glucose is somewhat apolar, so it can actually move in and out 471 00:23:47 --> 00:23:51 of our cells, because our cell walls, those are very greasy. 472 00:23:51 --> 00:23:54 So what we're actually doing here is we're putting a charged 473 00:23:54 --> 00:23:56 molecule onto the glucose. 474 00:23:56 --> 00:23:59 There's two negative charges in a phosphate group, this is 475 00:23:59 --> 00:24:01 going to make sure that our glucose is now it's 476 00:24:01 --> 00:24:02 very polar molecule. 477 00:24:02 --> 00:24:05 And now that we have a very polar molecule, we're not going 478 00:24:05 --> 00:24:08 to be able to have the glucose move in and out of the cell. 479 00:24:08 --> 00:24:10 So we keep it in our cell by putting this 480 00:24:10 --> 00:24:12 phosphate group on it. 481 00:24:12 --> 00:24:14 That's why we want to do this reaction, but let's think 482 00:24:14 --> 00:24:17 about the energy of actually doing it. 483 00:24:17 --> 00:24:21 And it turns out that this requires energy. 484 00:24:21 --> 00:24:25 The delta g for this reaction is 17 kilojoules per mole. 485 00:24:25 --> 00:24:28 All right, so that could be a problem if our body had not 486 00:24:28 --> 00:24:32 come up with a way to solve it, which it has, and what it 487 00:24:32 --> 00:24:34 actually does is it couples this reaction here with the 488 00:24:34 --> 00:24:38 conversion of ATP into ADP. 489 00:24:38 --> 00:24:41 And we just calculated that that has a delta g of negative 490 00:24:41 --> 00:24:44 31 kilojoules per mole. 491 00:24:44 --> 00:24:47 So this means we can think about delta g total, and by 492 00:24:47 --> 00:24:50 total we mean of this overall process here. 493 00:24:50 --> 00:24:54 So that's just equal to 17, and we're adding it to the other 494 00:24:54 --> 00:24:58 delta g, which is negative 31. 495 00:24:58 --> 00:25:01 So we get an overall delta g for this process of negative 496 00:25:01 --> 00:25:03 14 kilojoules per mole. 497 00:25:03 --> 00:25:06 All right, so that's one really simple example just to 498 00:25:06 --> 00:25:09 illustrate to you how these ATP coupled reactions work. 499 00:25:09 --> 00:25:14 Some ATP coupled reactions require one molar equivalent of 500 00:25:14 --> 00:25:16 ATP, some require a lot more. 501 00:25:16 --> 00:25:17 But essentially, the idea is the same. 502 00:25:17 --> 00:25:21 We have this reaction that's energetically unfavorable that 503 00:25:21 --> 00:25:24 we couple with an energetically favorable reaction. 504 00:25:24 --> 00:25:26 So, quite literally, this is what we mean when we talk 505 00:25:26 --> 00:25:29 about ATP as being the energy currency for the cell. 506 00:25:29 --> 00:25:33 We spend some ATP in order to get these non-spontaneous 507 00:25:33 --> 00:25:34 reactions to go. 508 00:25:34 --> 00:25:37 All right, so I also want to talk to a little bit 509 00:25:37 --> 00:25:39 about hydrogen bonding. 510 00:25:39 --> 00:25:43 This also is a topic that deals with the thermodynamics, and it 511 00:25:43 --> 00:25:45 also is related to the ideas that we talked about before in 512 00:25:45 --> 00:25:50 terms of thinking about different types of bonds. 513 00:25:50 --> 00:25:54 So if we talk about a hydrogen bond, a hydrogen bond, first I 514 00:25:54 --> 00:25:57 just want to be really clear, is not a covalent bond. 515 00:25:57 --> 00:26:00 So this h x bond here is a covalent bond, this 516 00:26:00 --> 00:26:02 is not a hydrogen bond. 517 00:26:02 --> 00:26:05 But a hydrogen bond can form when you have a partial 518 00:26:05 --> 00:26:09 positive on a hydrogen, and you have what's called a hydrogen 519 00:26:09 --> 00:26:12 bond donor atom, which has a partial negative on it, 520 00:26:12 --> 00:26:14 and also has a lone pair. 521 00:26:14 --> 00:26:17 Typically this y atom will be on a separate molecule. 522 00:26:17 --> 00:26:21 And what happens is you have that Coulombic attraction 523 00:26:21 --> 00:26:24 between the partial positive on the hydrogen and the partial 524 00:26:24 --> 00:26:27 negative on this hydrogen bond donor atom. 525 00:26:27 --> 00:26:30 So what you form between them is a hydrogen bond, and 526 00:26:30 --> 00:26:33 you'll notice that I drew it as a dashed line. 527 00:26:33 --> 00:26:36 H bonds or hydrogen bonds are drawn either as dashed lines or 528 00:26:36 --> 00:26:39 as dotted lines, and they're done so to differentiate them 529 00:26:39 --> 00:26:42 from covalent bonds, which we draw with this 530 00:26:42 --> 00:26:44 straight line here. 531 00:26:44 --> 00:26:48 So let's think about what can form hydrogen bonds. 532 00:26:48 --> 00:26:50 First of all, there's a requirement for what 533 00:26:50 --> 00:26:52 this h x bond can be. 534 00:26:52 --> 00:26:56 It has to be a really electronegative atom in this x 535 00:26:56 --> 00:26:58 here, because we need to we need to form that partial 536 00:26:58 --> 00:27:02 positive on the hydrogen, which means that the atom that it's 537 00:27:02 --> 00:27:05 covalentally bonded to needs to be pulling away some of that 538 00:27:05 --> 00:27:07 electron density from the hydrogen, such that we have a 539 00:27:07 --> 00:27:10 delta positive on a hydrogen atom. 540 00:27:10 --> 00:27:14 Similarly, the same atoms are what can be the y here, so it 541 00:27:14 --> 00:27:17 can either be a nitrogen or an oxygen or a fluorine. 542 00:27:17 --> 00:27:20 So these are the only hydrogen bond donors 543 00:27:20 --> 00:27:23 that can form h bonds. 544 00:27:23 --> 00:27:26 And we can think about the reason for this and the reason 545 00:27:26 --> 00:27:27 is pretty straightforward. 546 00:27:27 --> 00:27:29 We need to have a small atom, but it also needs to be 547 00:27:29 --> 00:27:31 really electronegative. 548 00:27:31 --> 00:27:33 This should make sense because we need to have this partial 549 00:27:33 --> 00:27:37 negative charge here to have that Coulomb attraction. 550 00:27:37 --> 00:27:40 And the other requirement is that we definitely need to have 551 00:27:40 --> 00:27:44 that lone pair of electrons so it can actually interact in 552 00:27:44 --> 00:27:47 this hydrogen bond here. 553 00:27:47 --> 00:27:50 So let's take a look at an example of a hydrogen 554 00:27:50 --> 00:27:52 bond, and that's between two water molecules. 555 00:27:52 --> 00:27:56 So let's go ahead and re-draw our water molecules -- they're 556 00:27:56 --> 00:27:58 just kind of randomly oriented there. 557 00:27:58 --> 00:28:01 But let's re-draw them as if they were going to have a 558 00:28:01 --> 00:28:03 hydrogen bond between them. 559 00:28:03 --> 00:28:05 And one thing I want to point out about hydrogen bonds is 560 00:28:05 --> 00:28:09 that they're strongest when you actually have all three atoms 561 00:28:09 --> 00:28:13 in a straight line like this, because it keeps the dipoles 562 00:28:13 --> 00:28:15 the strongest, so the partial positive here and the partial 563 00:28:15 --> 00:28:17 negative here can interact. 564 00:28:17 --> 00:28:24 So let's re-draw our water molecules like that. 565 00:28:24 --> 00:28:27 So we have our first water molecule here, and let's say 566 00:28:27 --> 00:28:29 we're going to be talking about this hydrogen in 567 00:28:29 --> 00:28:30 terms of hydrogen bonding. 568 00:28:30 --> 00:28:33 Obviously, we have four hydrogens up there that can 569 00:28:33 --> 00:28:37 take place or take part in h bonding, but we're just going 570 00:28:37 --> 00:28:39 to focus on this one here. 571 00:28:39 --> 00:28:41 So that means we want our straight line to be something 572 00:28:41 --> 00:28:44 like this to our second oxygen. 573 00:28:44 --> 00:28:48 So let's draw the hydrogens on this water molecule as well. 574 00:28:48 --> 00:28:52 All right, so thinking about what the Lewis structure of 575 00:28:52 --> 00:28:56 water is, how many lone pairs do we have on this oxygen here? 576 00:28:56 --> 00:28:57 STUDENT: [INAUDIBLE] 577 00:28:57 --> 00:28:58 PROFESSOR: Two lone pairs, great. 578 00:28:58 --> 00:29:02 So let's draw those in, and let's draw these 579 00:29:02 --> 00:29:04 lone pairs in as well. 580 00:29:04 --> 00:29:07 All right, and we're going to be talking about these two 581 00:29:07 --> 00:29:10 atoms in terms of our hydrogen bond, so does this have a delta 582 00:29:10 --> 00:29:13 plus or a delta negative on it? 583 00:29:13 --> 00:29:14 Delta plus. 584 00:29:14 --> 00:29:18 So this is a polar bond here, this o h bond, so we have a 585 00:29:18 --> 00:29:22 delta plus on our hydrogen, and we have a delta 586 00:29:22 --> 00:29:24 minus on our oxygen. 587 00:29:24 --> 00:29:26 So these also have delta plusses, of course, and this 588 00:29:26 --> 00:29:28 also has a delta minus. 589 00:29:28 --> 00:29:31 So because these two can interact and they're lined up 590 00:29:31 --> 00:29:35 to do so, what we can do is we can draw a hydrogen bond right 591 00:29:35 --> 00:29:39 in between this hydrogen and this oxygen atom here. 592 00:29:39 --> 00:29:43 So again, I pointed out that, in fact, hydrogen bonds are not 593 00:29:43 --> 00:29:46 as strong as covalent bonds. 594 00:29:46 --> 00:29:49 Since they're not as strong, if you remember thinking about the 595 00:29:49 --> 00:29:52 relationship between bond strength and bond length, would 596 00:29:52 --> 00:29:55 you expect a hydrogen bond to be longer or shorter 597 00:29:55 --> 00:29:57 than a covalent bond? 598 00:29:57 --> 00:29:58 STUDENT: Longer. 599 00:29:58 --> 00:30:01 PROFESSOR: Good, OK, it should be longer here. 600 00:30:01 --> 00:30:04 So this is our longer bond because it's our weaker bond. 601 00:30:04 --> 00:30:07 They're not held together as tightly. 602 00:30:07 --> 00:30:12 All right, so this is an example of an intermolecular 603 00:30:12 --> 00:30:16 hydrogen bond, it's between two different molecules. 604 00:30:16 --> 00:30:18 Hopefully, you can also see that if we're focusing on any 605 00:30:18 --> 00:30:23 single one water molecule, we could also form hydrogen bonds 606 00:30:23 --> 00:30:26 between other water molecules with either of these two 607 00:30:26 --> 00:30:30 hydrogens as well, and also with our other lone pair here. 608 00:30:30 --> 00:30:32 So any water molecule can actually form four 609 00:30:32 --> 00:30:34 different hydrogen bonds. 610 00:30:34 --> 00:30:38 All right, so let's talk a little bit about these hydrogen 611 00:30:38 --> 00:30:41 bonds in terms of their bond enthalpies here. 612 00:30:41 --> 00:30:44 I said that they were weaker than covalent bonds, so let's 613 00:30:44 --> 00:30:45 look at a few comparisons here. 614 00:30:45 --> 00:30:49 So we can look at an h o hydrogen bond versus 615 00:30:49 --> 00:30:52 an h o covalent bond. 616 00:30:52 --> 00:30:55 And what we find is that the bond enthalpies in kilojoules 617 00:30:55 --> 00:31:00 per mole, it's 20 kilojoules per mole for a hydrogen bond 618 00:31:00 --> 00:31:05 versus 463 kilojoules per mole for a covalent bond. 619 00:31:05 --> 00:31:07 So we're not talking about just a little bit weaker, we're 620 00:31:07 --> 00:31:11 talking about much, much weaker for the hydrogen bonds here. 621 00:31:11 --> 00:31:15 Similarly, if we look at nitrogen, for nitrogen hydrogen 622 00:31:15 --> 00:31:20 bonds, if we have an o h bound to a nitrogen, that's 29 623 00:31:20 --> 00:31:22 kilojoules per mole. 624 00:31:22 --> 00:31:26 If it's an n h hydrogen bound to a nitrogen, that's 14 625 00:31:26 --> 00:31:29 kilojoules per mole, and if we're talking about an h n 626 00:31:29 --> 00:31:32 covalent bond, now we're talking about 388 627 00:31:32 --> 00:31:34 kilojoules per mole. 628 00:31:34 --> 00:31:39 All right, so again what we see in these cases is that the 629 00:31:39 --> 00:31:41 hydrogen bonds are much, much weaker. 630 00:31:41 --> 00:31:46 They tend to be as low as 5% of what the covalent bond is, so 631 00:31:46 --> 00:31:50 this is actually much weaker than any kinds of bonds we have 632 00:31:50 --> 00:31:54 within molecules, but it's also the strongest type of bond that 633 00:31:54 --> 00:31:56 we can have between two different molecules. 634 00:31:56 --> 00:31:59 And one thing that you find as in the case of water, is when 635 00:31:59 --> 00:32:03 you have lots of hydrogen bonds between molecules it changes 636 00:32:03 --> 00:32:06 the property of, for example, water here. 637 00:32:06 --> 00:32:08 It makes the boiling point much, much higher than you 638 00:32:08 --> 00:32:12 might expect if you looked at the other properties, because 639 00:32:12 --> 00:32:15 you have to actually break apart all of these individual 640 00:32:15 --> 00:32:18 hydrogen bonds, and even though it's not that much energy for 641 00:32:18 --> 00:32:21 one individual hydrogen bond, once you get a huge number of 642 00:32:21 --> 00:32:25 hydrogen bonds, you're talking about huge energies here. 643 00:32:25 --> 00:32:28 So let's look at some examples of where we see hydrogen bonds 644 00:32:28 --> 00:32:30 in biological processes. 645 00:32:30 --> 00:32:33 First thinking about proteins, they're absolutely hugely 646 00:32:33 --> 00:32:34 important in proteins. 647 00:32:34 --> 00:32:37 And in proteins, we're talking about a molecule that's so 648 00:32:37 --> 00:32:41 large that you don't just see h bonds in between two different 649 00:32:41 --> 00:32:44 molecules, what you actually see is what's called 650 00:32:44 --> 00:32:47 intramolecular hydrogen bonding, so hydrogen bonding 651 00:32:47 --> 00:32:50 within the protein molecule itself. 652 00:32:50 --> 00:32:52 And hydrogen bonding is incredibly important, it, in 653 00:32:52 --> 00:32:57 fact, is the shape of a protein, which I'm just showing 654 00:32:57 --> 00:32:59 an example here, histone deacetylase, and the histone 655 00:32:59 --> 00:33:06 deacetylase molecule actually has just countless hydrogen 656 00:33:06 --> 00:33:10 bonds in here, and the hydrogen bonds largely govern the 657 00:33:10 --> 00:33:11 shape of the molecule. 658 00:33:11 --> 00:33:14 So, if you're thinking about any protein that has a shape, 659 00:33:14 --> 00:33:17 so for example, we see these ribbon structures here, they're 660 00:33:17 --> 00:33:21 called alpha helices, you can see some arrows, which are just 661 00:33:21 --> 00:33:25 like a sheet structure or beta sheets, that actual shape is 662 00:33:25 --> 00:33:29 stabilized and formed in the first place by just many, many 663 00:33:29 --> 00:33:32 hydrogen bonds within the protein being in a correct 664 00:33:32 --> 00:33:35 orientation that allows for this particular shape 665 00:33:35 --> 00:33:36 to be stabilized. 666 00:33:36 --> 00:33:39 And we know that shape is so important when we're talking 667 00:33:39 --> 00:33:42 about proteins, and that's because the actual shape of the 668 00:33:42 --> 00:33:45 protein governs the interaction with other proteins or 669 00:33:45 --> 00:33:46 other small molecules. 670 00:33:46 --> 00:33:49 The shape of the protein is very important in terms of 671 00:33:49 --> 00:33:53 positioning the specific atoms that are involved in the 672 00:33:53 --> 00:33:57 chemistry that the enzyme carries out being in 673 00:33:57 --> 00:33:58 the correct position. 674 00:33:58 --> 00:34:02 So hydrogen bonds are very important in terms of proteins. 675 00:34:02 --> 00:34:04 We can also think of them in terms of sugars 676 00:34:04 --> 00:34:05 or polysaccharides. 677 00:34:05 --> 00:34:08 This is a nice dramatic example, thinking about the 678 00:34:08 --> 00:34:11 structure of a protein is a very microscopic way 679 00:34:11 --> 00:34:13 of thinking about hydrogen bonding. 680 00:34:13 --> 00:34:16 If we want to take it to the macroscopic level, we can talk 681 00:34:16 --> 00:34:18 about h bonding in trees. 682 00:34:18 --> 00:34:21 So if we're talking about trees, trees are made up -- a 683 00:34:21 --> 00:34:27 major part of a tree is the polysaccharide cellulose. 684 00:34:27 --> 00:34:29 So that's shown right here. 685 00:34:29 --> 00:34:33 Cellulose is a chain of glucose molecules linked together. 686 00:34:33 --> 00:34:36 It can be as many as 1,000 or more glucose molecules linked 687 00:34:36 --> 00:34:37 together covalentally. 688 00:34:37 --> 00:34:41 But what actually happens to those individual chains is that 689 00:34:41 --> 00:34:43 if you look at this picture here, all those dotted lines 690 00:34:43 --> 00:34:45 are actually hydrogen bonds. 691 00:34:45 --> 00:34:49 So the individual molecules are in a much larger chain of 692 00:34:49 --> 00:34:52 hydrogen bonded molecules and they're incredibly rigid. 693 00:34:52 --> 00:34:55 You have so many hydrogen bonds that now it takes a huge amount 694 00:34:55 --> 00:34:56 of energy to break all of these. 695 00:34:56 --> 00:35:00 So that accounts for why wood is such a hard, solid material. 696 00:35:00 --> 00:35:04 And also, I mean for any plant, and tree is the most dramatic, 697 00:35:04 --> 00:35:07 the structure of a tree, the macroscopic structure, can be 698 00:35:07 --> 00:35:09 explained by hydrogen bonding. 699 00:35:09 --> 00:35:12 It's hydrogen bonds that keep all of those molecules together 700 00:35:12 --> 00:35:14 in the forest and in trees. 701 00:35:14 --> 00:35:15 All right. 702 00:35:15 --> 00:35:18 So, that's proteins, that thinking about sugars. 703 00:35:18 --> 00:35:20 We can also talk about the importance of hydrogen 704 00:35:20 --> 00:35:23 bonding in DNA. 705 00:35:23 --> 00:35:25 So if you think about the characteristic DNA double 706 00:35:25 --> 00:35:30 helix, hydrogen bonds, we have in a double helix we have two 707 00:35:30 --> 00:35:34 strands of DNA that you can see are intertwined here. 708 00:35:34 --> 00:35:36 And those two strands are actually held together 709 00:35:36 --> 00:35:38 by hydrogen bonding. 710 00:35:38 --> 00:35:41 So specifically, it's hydrogen bonding between what are called 711 00:35:41 --> 00:35:44 complimentary bases within the DNA. 712 00:35:44 --> 00:35:48 So, for example, if we look at guanine and cytosine here, you 713 00:35:48 --> 00:35:52 can see that there's several places, when they're lined up 714 00:35:52 --> 00:35:54 like this, where we can have hydrogen bonds. 715 00:35:54 --> 00:35:58 So in terms of thinking about how these two molecules are 716 00:35:58 --> 00:36:01 lined up, how many h bonds would you expect between 717 00:36:01 --> 00:36:04 these two bases? 718 00:36:04 --> 00:36:06 Yeah, so it's lined up that there are three 719 00:36:06 --> 00:36:08 that can form here. 720 00:36:08 --> 00:36:13 So we have an o h hydrogen bond, an h n, and then an h o 721 00:36:13 --> 00:36:16 hydrogen bond that can form. 722 00:36:16 --> 00:36:18 So the other side of complimentary based pairs are 723 00:36:18 --> 00:36:22 AT base pairs, and if you look at the way these are lined up 724 00:36:22 --> 00:36:24 here, how many hydrogen bonds can form between A 725 00:36:24 --> 00:36:27 and T base pairs? 726 00:36:27 --> 00:36:29 Yup, so it it's two that we can form here. 727 00:36:29 --> 00:36:34 We have one between the h o, one between the n h, and you 728 00:36:34 --> 00:36:38 see that we've lost this nitrogen, this n h group here, 729 00:36:38 --> 00:36:41 and first of all this would be too far apart anyway for 730 00:36:41 --> 00:36:45 hydrogen bond, but we can't have a hydrogen bond form 731 00:36:45 --> 00:36:46 when we have a carbon h. 732 00:36:46 --> 00:36:50 Remember, it has to either be a nitrogen or an oxygen or a 733 00:36:50 --> 00:36:53 fluorine because those are the atoms that are going to pull 734 00:36:53 --> 00:36:57 away enough electron density from the hydrogen to give 735 00:36:57 --> 00:36:59 it a partial positive charge that it needs. 736 00:36:59 --> 00:37:03 So in terms of thinking about DNA, this is a really neat case 737 00:37:03 --> 00:37:05 to consider the actual thermodynamics or the bond 738 00:37:05 --> 00:37:09 enthalpies of the hydrogen bonds, because, of course, does 739 00:37:09 --> 00:37:12 not always stay in it's double helix -- when we're talking 740 00:37:12 --> 00:37:15 about transcription, we actually need to unzip or 741 00:37:15 --> 00:37:19 separate this helix into its two strands, so each individual 742 00:37:19 --> 00:37:20 strand can be copied. 743 00:37:20 --> 00:37:23 So it's really important that hydrogen bonds are strong 744 00:37:23 --> 00:37:26 enough to hold the DNA double strand together, but that 745 00:37:26 --> 00:37:30 they're not so strong that when you actually pull the hydrogen 746 00:37:30 --> 00:37:33 bonds apart to open up the double strand, that you 747 00:37:33 --> 00:37:35 actually, you don't want to break all of a covalent 748 00:37:35 --> 00:37:37 bonds in DNA as well. 749 00:37:37 --> 00:37:40 All right, so that's all we're going to say in terms of 750 00:37:40 --> 00:37:43 thinking about thermodynamics and biological systems. 751 00:37:43 --> 00:37:45 Hold on a sec, we have plenty of time left. 752 00:37:45 --> 00:37:47 I want to go over a few clicker questions. 753 00:37:47 --> 00:37:50 I didn't want to give you too long set of notes, because 754 00:37:50 --> 00:37:52 we're switching over to Professor Drennan's going to 755 00:37:52 --> 00:37:55 start lecturing on Friday, so I thought maybe I shouldn't have 756 00:37:55 --> 00:37:58 to have her finish up with my notes. 757 00:37:58 --> 00:38:01 So, Professor Drennan will continue talking about 758 00:38:01 --> 00:38:04 thermodynamics and thinking about equilibrium, and then 759 00:38:04 --> 00:38:06 she'll transition that into talking about kinetics. 760 00:38:06 --> 00:38:09 So that's actually what's going to start happening after 761 00:38:09 --> 00:38:11 the exam on Wednesday. 762 00:38:11 --> 00:38:14 But let's take a look, since we do you have a little bit of 763 00:38:14 --> 00:38:18 time left, at a few clicker questions just to make sure 764 00:38:18 --> 00:38:21 everyone has caught what we've gone over so far. 765 00:38:21 --> 00:38:25 And a few reviews for the exam, and I will have this clicker 766 00:38:25 --> 00:38:29 question or one of the ones following, be a clicker 767 00:38:29 --> 00:38:32 question quiz, so make sure you are still answering 768 00:38:32 --> 00:38:34 these questions here. 769 00:38:34 --> 00:38:37 So the first one covers what we went over today, so I want you 770 00:38:37 --> 00:38:40 to tell me and try to not look back in your notes for this, 771 00:38:40 --> 00:38:44 for a reaction where you have a positive enthalpy and a 772 00:38:44 --> 00:38:48 negative entropy change, would you expect this reaction 773 00:38:48 --> 00:38:51 to be never, always, or sometimes spontaneous? 774 00:38:51 --> 00:38:53 So let's take 10 seconds on that, that should 775 00:38:53 --> 00:39:05 be pretty fast. 776 00:39:05 --> 00:39:06 OK, excellent. 777 00:39:06 --> 00:39:08 90% is very good. 778 00:39:08 --> 00:39:10 So this should never be spontaneous, because we both 779 00:39:10 --> 00:39:14 have the entropy and the enthalpy term contributing 780 00:39:14 --> 00:39:16 to a positive delta g. 781 00:39:16 --> 00:39:19 All right, let's shift gears to a couple of questions that 782 00:39:19 --> 00:39:21 are review for the exam. 783 00:39:21 --> 00:39:23 So hopefully, these will all be very straightforward 784 00:39:23 --> 00:39:25 for you now. 785 00:39:25 --> 00:39:28 So I want you to think about bond lengths here, and tell me 786 00:39:28 --> 00:39:32 which molecule contains the shorter nitrogen oxygen bond. 787 00:39:32 --> 00:39:38 So, we're comparing n o minus 1, and n o 2 minus 1. 788 00:39:38 --> 00:39:40 So if you wanted to get started on this problem, what's the 789 00:39:40 --> 00:39:43 first thing you should do? 790 00:39:43 --> 00:39:44 Yeah, draw some Lewis structures. 791 00:39:44 --> 00:39:47 So that might be a good place to start in 792 00:39:47 --> 00:39:56 thinking about this. 793 00:39:56 --> 00:39:58 So I'll do that up here as well, but don't look if you 794 00:39:58 --> 00:40:01 want to try it on your own. 795 00:40:01 --> 00:40:04 Remember, the quiz points come for answering, not 796 00:40:04 --> 00:40:05 for getting it right. 797 00:40:05 --> 00:40:26 So try doing it on your own here. 798 00:40:26 --> 00:40:34 All right, let's go ahead and take 10 more 799 00:40:34 --> 00:40:49 seconds on this one. 800 00:40:49 --> 00:40:49 OK, hold on. 801 00:40:49 --> 00:40:51 Don't show the correct answer. 802 00:40:51 --> 00:40:53 You know we're going to re-poll and give you a little bit more 803 00:40:53 --> 00:40:55 time to see if we come to a consensus here. 804 00:40:55 --> 00:40:58 So let's take another 30 seconds or so on this while I 805 00:40:58 --> 00:41:32 finish drawing these up here. 806 00:41:32 --> 00:41:33 OK, good. 807 00:41:33 --> 00:41:38 So we've got 81% have it correct that in the n o minus 808 00:41:38 --> 00:41:41 1 bond here, this is going to be a double bond. 809 00:41:41 --> 00:41:46 STUDENT: What if [INAUDIBLE]. 810 00:41:46 --> 00:41:47 PROFESSOR: No. 811 00:41:47 --> 00:41:49 It would be a double bond here. 812 00:41:49 --> 00:41:51 So, if you follow just the Lewis structure rules, and you 813 00:41:51 --> 00:41:54 go ahead, you'll find that we end up having four bonding 814 00:41:54 --> 00:41:56 electrons available. 815 00:41:56 --> 00:42:00 So you can just go ahead and plug those in, and you end 816 00:42:00 --> 00:42:01 up with this many left. 817 00:42:01 --> 00:42:08 If we had a triple bond, then we would end up having more 818 00:42:08 --> 00:42:10 bonding -- or we would end up using more electrons than we 819 00:42:10 --> 00:42:12 have available for bonding here. 820 00:42:12 --> 00:42:18 All right, so we have a double bond in the case of n o. 821 00:42:18 --> 00:42:22 What is this bond that we have here? 822 00:42:22 --> 00:42:24 Yup, so it's actually a 1 . 823 00:42:24 --> 00:42:24 5 bond. 824 00:42:24 --> 00:42:26 What is this bond that we have here? 825 00:42:26 --> 00:42:28 STUDENT: [INAUDIBLE] 826 00:42:28 --> 00:42:31 PROFESSOR: All right, so we have two 1 . 827 00:42:31 --> 00:42:33 5 bonds in this case, how come these are 1. 828 00:42:33 --> 00:42:35 5 and not, for example, a double bond? 829 00:42:35 --> 00:42:36 STUDENT: [INAUDIBLE] 830 00:42:36 --> 00:42:38 PROFESSOR: Great, so that's the key. 831 00:42:38 --> 00:42:40 Even though we have double bonds in each of these 832 00:42:40 --> 00:42:44 structures, in this case here, we have resonance, so it's 833 00:42:44 --> 00:42:46 turns out to be, in fact, two 1 . 834 00:42:46 --> 00:42:47 5 bonds. 835 00:42:47 --> 00:42:50 So since this is the double bond, it's going to 836 00:42:50 --> 00:42:51 be the stronger bond. 837 00:42:51 --> 00:42:53 Since it's the stronger bond, it's also going 838 00:42:53 --> 00:42:54 to be the shorter bond. 839 00:42:54 --> 00:42:57 So make sure you can make those relationships between bond 840 00:42:57 --> 00:43:01 strength and bond length and thinking about if you have 841 00:43:01 --> 00:43:03 resonance or you don't have resonance in a 842 00:43:03 --> 00:43:04 particular situation. 843 00:43:04 --> 00:43:08 All right, let's try one more clicker question here. 844 00:43:08 --> 00:43:10 We'll have this be the last one for you. 845 00:43:10 --> 00:43:13 So this is one that hopefully you'll all get right, because 846 00:43:13 --> 00:43:15 we've gone over this again and again both in class 847 00:43:15 --> 00:43:16 and recitation. 848 00:43:16 --> 00:43:19 So let's talk about the hybridization of the specific 849 00:43:19 --> 00:43:23 carbon and oxygen atoms in ATP, so I want you to go ahead and 850 00:43:23 --> 00:43:25 tell me what these hyrbridizations are 851 00:43:25 --> 00:43:49 for these two atoms. 852 00:43:49 --> 00:43:51 OK, let's take 10 more seconds here, get those 853 00:43:51 --> 00:44:03 final answers in. 854 00:44:03 --> 00:44:06 OK, good, so 83% of you got this. 855 00:44:06 --> 00:44:08 Let's take a look at why. 856 00:44:08 --> 00:44:13 So carbon a is bonded to three things, but it is bonded to no 857 00:44:13 --> 00:44:17 lone pairs, so we need to have it be three hybrid 858 00:44:17 --> 00:44:19 orbitals, so it's s p 2. 859 00:44:19 --> 00:44:23 And oxygen is bonded to two atoms plus two lone paris. 860 00:44:23 --> 00:44:26 So we need four hybrid orbitals or s p 3. 861 00:44:26 --> 00:44:28 All right, so this was your quiz question, so as long as 862 00:44:28 --> 00:44:31 you answered it, you got your quiz points for today. 863 00:44:31 --> 00:44:35 And you can get going a little bit early today and finish 864 00:44:35 --> 00:44:37 studying for this exam. 865 00:44:37 --> 00:44:38