1 00:00:00 --> 00:00:01 2 00:00:01 --> 00:00:02 The following content is provided under a Creative 3 00:00:02 --> 00:00:03 Commons license. 4 00:00:03 --> 00:00:06 Your support will help MIT OpenCourseWare continue to 5 00:00:06 --> 00:00:10 offer high-quality educational resources for free. 6 00:00:10 --> 00:00:13 To make a donation or view additional materials from 7 00:00:13 --> 00:00:15 hundreds of MIT courses, visit MIT OpenCourseWare 8 00:00:15 --> 00:00:17 at ocw.mit.edu. 9 00:00:17 --> 00:00:24 PROFESSOR: Today is our final clicker competition. 10 00:00:24 --> 00:00:27 The first question is up. 11 00:00:27 --> 00:00:30 And I would just like to go over the current standing for 12 00:00:30 --> 00:00:34 the clicker competition as we're getting started here. 13 00:00:34 --> 00:00:43 So, recitation 6 has two wins, and there are other recitations 14 00:00:43 --> 00:00:47 and have one win, so recitation 2, 3, 5, 7, 15 00:00:47 --> 00:00:49 and 10 have one win. 16 00:00:49 --> 00:00:53 If any of those recitation wins today, we're going to go to 17 00:00:53 --> 00:00:59 a tie breaker to decide the overall recitation champion. 18 00:00:59 --> 00:01:05 There are also recitations 1, 4, 9, and 11, who are looking 19 00:01:05 --> 00:01:06 for their first win. 20 00:01:06 --> 00:01:09 This is their last chance today. 21 00:01:09 --> 00:01:13 So, if they win today, they can not be overall champions, but 22 00:01:13 --> 00:01:19 they will have snacks, and they will assure that recitations 2, 23 00:01:19 --> 00:01:24 3, 5, 7, and 10 do not win the overall competition. 24 00:01:24 --> 00:01:29 So, you have a chance to foil those recitations. 25 00:01:29 --> 00:01:33 And if we need to go to a tie breaker, it will not be from 26 00:01:33 --> 00:01:37 current material, it's going to be past material or past 27 00:01:37 --> 00:01:38 things that were mentioned. 28 00:01:38 --> 00:01:42 So, just keep that in mind. 29 00:01:42 --> 00:01:47 All right, and for the overall winner, I just would like to 30 00:01:47 --> 00:01:52 show you what you will win, so members of the recitation will 31 00:01:52 --> 00:01:59 each get their own chemistry t-shirt, and at some schools, 32 00:01:59 --> 00:02:01 of course, you would look at this and say oh, they're on the 33 00:02:01 --> 00:02:06 varsity team, but at MIT, it means that you are 34 00:02:06 --> 00:02:11 associated with course 5. 35 00:02:11 --> 00:02:14 So, Department of Chemistry at Massachusetts Institute of 36 00:02:14 --> 00:02:17 Technology on the back, and we have different colors 37 00:02:17 --> 00:02:19 and different sizes. 38 00:02:19 --> 00:02:22 All right, so time to get started with the 39 00:02:22 --> 00:02:24 clicker competition. 40 00:02:24 --> 00:02:40 Go ahead and click in your first responses. 41 00:02:40 --> 00:02:59 OK, let's just take 10 more seconds. 42 00:02:59 --> 00:03:00 All right. 43 00:03:00 --> 00:03:03 Big improvement from the first time we asked this question 44 00:03:03 --> 00:03:08 last class where it's about 33%, now we're up to 89. 45 00:03:08 --> 00:03:12 And no, it is not temperature dependent. 46 00:03:12 --> 00:03:14 And we're going to be talking more about activation 47 00:03:14 --> 00:03:16 energy today. 48 00:03:16 --> 00:03:22 All right, so today we're going to finish up kinetics, and 49 00:03:22 --> 00:03:25 we're going to start with the material that we didn't quite 50 00:03:25 --> 00:03:27 get to at the end of last class. 51 00:03:27 --> 00:03:32 And I love this part, because I love it when we can think about 52 00:03:32 --> 00:03:36 what we learned before in a slightly different way. 53 00:03:36 --> 00:03:39 So, when I first started lecturing, I was talking about 54 00:03:39 --> 00:03:45 LeChatelier principle and, of course, encouraged students to 55 00:03:45 --> 00:03:48 sort of -- you know it's not too intuitive to MIT students, 56 00:03:48 --> 00:03:51 but LeChatelier's principle says that if you apply stress 57 00:03:51 --> 00:03:54 to a system, it tends to respond in such a way to 58 00:03:54 --> 00:03:56 minimize that stress. 59 00:03:56 --> 00:03:59 So it's all about minimizing stress, which is something 60 00:03:59 --> 00:04:03 that's hard to kind to imagine this time of year, a little 61 00:04:03 --> 00:04:07 easier to imagine activation energy barriers, a little hard 62 00:04:07 --> 00:04:08 to imagine minimizing stress. 63 00:04:08 --> 00:04:12 But we're back to talking about minimizing stress. 64 00:04:12 --> 00:04:16 And we talked about adding reagents and removing products, 65 00:04:16 --> 00:04:19 and we talked about how reactions will shift to 66 00:04:19 --> 00:04:21 respond to stresses. 67 00:04:21 --> 00:04:24 And one of the things we talked about is rationalizing 68 00:04:24 --> 00:04:27 the shift of reactions at equilibrium when 69 00:04:27 --> 00:04:30 temperature has changed. 70 00:04:30 --> 00:04:33 So, if you increase the temperature of a particular 71 00:04:33 --> 00:04:38 reaction, it tends to shift in the endothermic direction to 72 00:04:38 --> 00:04:43 remove that added heat from the reaction. 73 00:04:43 --> 00:04:45 So, that's what we learned before, but now we're going 74 00:04:45 --> 00:04:48 to think about this in a slightly different way. 75 00:04:48 --> 00:04:51 So we're going to think about this in terms of these 76 00:04:51 --> 00:04:54 reaction coordinate diagrams. 77 00:04:54 --> 00:04:57 So, on one axis we have p e plotted -- what 78 00:04:57 --> 00:04:59 does that stand for? 79 00:04:59 --> 00:05:02 Potential energy, right, so we have potential energy 80 00:05:02 --> 00:05:04 going up on both sides. 81 00:05:04 --> 00:05:06 And here we have a view of an endothermic reaction, and over 82 00:05:06 --> 00:05:09 here is an exothermic reaction. 83 00:05:09 --> 00:05:10 So, let's just take a look at this. 84 00:05:10 --> 00:05:14 For the endothermic reaction, we have reactants and products, 85 00:05:14 --> 00:05:18 we have a delta e between those, and we have a very large 86 00:05:18 --> 00:05:21 activation energy barrier for the forward direction. 87 00:05:21 --> 00:05:24 And, of course, for anything to react, there always has to be 88 00:05:24 --> 00:05:28 some barrier, you need some amount of critical energy, 89 00:05:28 --> 00:05:31 because as the molecules come close to each other, and if 90 00:05:31 --> 00:05:35 they're going to react and form some kind of product, you have 91 00:05:35 --> 00:05:38 to sort of distort bonds and sort of rearrange things, and 92 00:05:38 --> 00:05:40 that takes a certain amount of energy. 93 00:05:40 --> 00:05:42 So if they come together and they have that energy, they'll 94 00:05:42 --> 00:05:45 react and go on to products, if they don't they'll break apart 95 00:05:45 --> 00:05:48 and go back and be reactants. 96 00:05:48 --> 00:05:52 And how much temperature the system has, is more likely that 97 00:05:52 --> 00:05:54 they'll be able to react. 98 00:05:54 --> 00:05:58 So it's more likely, if there's high temperature, they could 99 00:05:58 --> 00:06:06 overcome this activation energy barrier. 100 00:06:06 --> 00:06:08 All right, so in an endothermic reaction, you have a big one in 101 00:06:08 --> 00:06:11 the forward direction, and a much smaller activation energy 102 00:06:11 --> 00:06:13 in the reverse direction. 103 00:06:13 --> 00:06:16 For exothermic reaction it's the reverse -- there's a 104 00:06:16 --> 00:06:19 smaller barrier for the forward direction, and a 105 00:06:19 --> 00:06:24 much larger barrier for the reverse direction. 106 00:06:24 --> 00:06:27 So, we can think about the sign of delta e. 107 00:06:27 --> 00:06:31 So delta e, this difference here which is related to delta 108 00:06:31 --> 00:06:36 h for liquids and solids, it's pretty much the same for 109 00:06:36 --> 00:06:39 gases is 1% or 2% different. 110 00:06:39 --> 00:06:41 So you have a positive value here, and you can get a 111 00:06:41 --> 00:06:45 positive delta e here if you have a big number for the 112 00:06:45 --> 00:06:49 forward activation energy barrier minus a small number 113 00:06:49 --> 00:06:51 for the reverse, so that's going to give you a 114 00:06:51 --> 00:06:52 positive number. 115 00:06:52 --> 00:06:56 For an exothermic reaction, delta e's going to be negative, 116 00:06:56 --> 00:06:59 and you get a negative number if you take a small number here 117 00:06:59 --> 00:07:02 for the forward activation energy, and subtract it from a 118 00:07:02 --> 00:07:06 larger number here for the reverse activation energy. 119 00:07:06 --> 00:07:09 And remember, this is one of the equations that we're not 120 00:07:09 --> 00:07:11 going to give you, you need to have that memorized because 121 00:07:11 --> 00:07:14 it's part of understanding what's going on in 122 00:07:14 --> 00:07:16 these diagrams. 123 00:07:16 --> 00:07:18 So now let's think about what increasing the temperature 124 00:07:18 --> 00:07:20 is going to do. 125 00:07:20 --> 00:07:23 So, it will help the molecules if the is temperatures 126 00:07:23 --> 00:07:27 increase, they'll have enough energy to overcome barriers. 127 00:07:27 --> 00:07:30 Now if the barriers are pretty small, then it's not very hard 128 00:07:30 --> 00:07:33 for the molecules to get over them, regardless of 129 00:07:33 --> 00:07:34 the temperature. 130 00:07:34 --> 00:07:37 But when the barrier is big, then temperature is going 131 00:07:37 --> 00:07:39 to make a big difference. 132 00:07:39 --> 00:07:42 And you can sort of think about this in your own life as you 133 00:07:42 --> 00:07:45 have a small assignment to do, you just jump in and do it and 134 00:07:45 --> 00:07:46 get it done and it's fine. 135 00:07:46 --> 00:07:49 But if it's a very, very large thing that you have to do, you 136 00:07:49 --> 00:07:52 often need to procrastinate longer before you 137 00:07:52 --> 00:07:53 start doing it. 138 00:07:53 --> 00:07:56 So, a small barrier's not so much of a problem, but if it's 139 00:07:56 --> 00:07:59 a big barrier, you need to increase that temperature 140 00:07:59 --> 00:08:03 to help the molecules get over the bigger barriers. 141 00:08:03 --> 00:08:07 So, let's think about what this means in terms of the direction 142 00:08:07 --> 00:08:09 that a reaction might shift. 143 00:08:09 --> 00:08:11 So, if you increase a temperature over here with an 144 00:08:11 --> 00:08:15 endothermic reaction, it makes it easier to overcome 145 00:08:15 --> 00:08:16 the bigger barrier. 146 00:08:16 --> 00:08:19 The forward reaction barrier is the bigger one, so increasing 147 00:08:19 --> 00:08:22 the temperature will help molecules get over 148 00:08:22 --> 00:08:22 that barrier. 149 00:08:22 --> 00:08:25 They're already doing fine with the reverse barrier, it's the 150 00:08:25 --> 00:08:27 forward barrier that we're having trouble with. 151 00:08:27 --> 00:08:30 So, if you increase the temperature, that's going to 152 00:08:30 --> 00:08:33 shift the equilibrium toward products, or it will shift 153 00:08:33 --> 00:08:36 the reaction in the endothermic direction. 154 00:08:36 --> 00:08:38 That's what we had learned before with LeChatelier's 155 00:08:38 --> 00:08:40 principle, but now there's a new way of thinking 156 00:08:40 --> 00:08:43 about why that is true. 157 00:08:43 --> 00:08:46 So, for an exothermic reaction, if you increase the 158 00:08:46 --> 00:08:48 temperature, that helps with the bigger barrier. 159 00:08:48 --> 00:08:52 Again, here the bigger barrier is for the reverse reaction. 160 00:08:52 --> 00:08:56 So, if you increase the temperature of an exothermic 161 00:08:56 --> 00:08:59 reaction, it's going to shift it toward reactants. 162 00:08:59 --> 00:09:03 More molecules can overcome that reverse barrier, and so 163 00:09:03 --> 00:09:08 you'll form more reactants, it'll shift toward reactants 164 00:09:08 --> 00:09:11 or it'll shift in the endothermic direction. 165 00:09:11 --> 00:09:14 Again, these are the same things that we already knew 166 00:09:14 --> 00:09:16 from LeChatelier, but it's a different way of thinking about 167 00:09:16 --> 00:09:20 why those things are true. 168 00:09:20 --> 00:09:25 So, a large activation energy barrier means that rate 169 00:09:25 --> 00:09:29 constants are very sensitive to temperature. 170 00:09:29 --> 00:09:33 And so, if you have a big activation energy barrier, 171 00:09:33 --> 00:09:36 increasing the temperature makes a big difference -- if 172 00:09:36 --> 00:09:39 it's a big barrier, then there's going to have a big 173 00:09:39 --> 00:09:42 difference if you have higher temperature. 174 00:09:42 --> 00:09:45 If it's a small barrier, then increasing the temperature 175 00:09:45 --> 00:09:47 doesn't make much of a difference. 176 00:09:47 --> 00:09:49 And so you can think about that in terms of these 177 00:09:49 --> 00:09:53 diagrams as well. 178 00:09:53 --> 00:09:56 So, now we're done with temperature and we're going 179 00:09:56 --> 00:10:00 to talk about catalysis and the use of catalysts. 180 00:10:00 --> 00:10:03 And so, if you remember there were factors affecting the 181 00:10:03 --> 00:10:07 reaction, and we've talked about everything on this 182 00:10:07 --> 00:10:08 list except for catalysts. 183 00:10:08 --> 00:10:13 So today we're going to talk about catalysts. 184 00:10:13 --> 00:10:17 So, a catalyst is a substance that speeds up a reaction, but 185 00:10:17 --> 00:10:20 it doesn't get consumed in the reaction, it doesn't undergo 186 00:10:20 --> 00:10:22 any permanent change itself. 187 00:10:22 --> 00:10:25 It's just added to speed up the reaction. 188 00:10:25 --> 00:10:31 So catalysts do not appear in the overall balanced equation. 189 00:10:31 --> 00:10:34 So let's look at what a catalyst is going to do, and 190 00:10:34 --> 00:10:36 we're going to look at in terms of these potential 191 00:10:36 --> 00:10:38 energy diagrams as well. 192 00:10:38 --> 00:10:41 So here we here we have a reaction, we're going 193 00:10:41 --> 00:10:43 from reactants down here to products. 194 00:10:43 --> 00:10:46 We have the delta e for the reaction, we have a forward 195 00:10:46 --> 00:10:49 activation energy barrier and a reverse one. 196 00:10:49 --> 00:10:54 So, up here, at the top, that's our barrier without a catalyst. 197 00:10:54 --> 00:10:58 This is the transition state or the activated complex up here, 198 00:10:58 --> 00:11:01 so you have to overcome the barrier, you form some kind of 199 00:11:01 --> 00:11:05 activated complex, which then, if there's enough energy to 200 00:11:05 --> 00:11:08 overcome that barrier, goes on to products. 201 00:11:08 --> 00:11:11 So when you add a catalyst what happens is it 202 00:11:11 --> 00:11:14 lowers this barrier. 203 00:11:14 --> 00:11:18 So, in the blue line here is the new activation 204 00:11:18 --> 00:11:19 energy barrier. 205 00:11:19 --> 00:11:22 This is the barrier with a catalyst, and so this would 206 00:11:22 --> 00:11:27 then be the new transition state with a catalyst. 207 00:11:27 --> 00:11:30 So when it lowers the barrier, it's going to lower the barrier 208 00:11:30 --> 00:11:33 for the forward reaction, so we have a new activation energy 209 00:11:33 --> 00:11:36 for the forward reaction, and we're going to have a new 210 00:11:36 --> 00:11:41 activation energy for the reverse direction. 211 00:11:41 --> 00:11:45 So catalysts work by reducing both the forward and the 212 00:11:45 --> 00:11:48 reverse activation energy barrier. 213 00:11:48 --> 00:11:52 And another way that you can say this is that they stabilize 214 00:11:52 --> 00:11:55 the activated complex or the transition state. 215 00:11:55 --> 00:11:59 So here you have an activated complex with a much higher 216 00:11:59 --> 00:12:03 potential energy without the catalysts, and by stabilizing, 217 00:12:03 --> 00:12:06 you lower in energy that transition state. 218 00:12:06 --> 00:12:09 So that's another way of expressing what 219 00:12:09 --> 00:12:13 a catalyst does. 220 00:12:13 --> 00:12:17 So, catalysts have no effect on the thermodynamics of the 221 00:12:17 --> 00:12:20 reaction, they affect the kinetics of the reaction, 222 00:12:20 --> 00:12:25 but they don't affect the thermodynamics of the reaction. 223 00:12:25 --> 00:12:28 And so, of course, when you think of thermodynamics, you 224 00:12:28 --> 00:12:30 often think of delta g. 225 00:12:30 --> 00:12:37 So, why don't you tell me what you think, what would happen 226 00:12:37 --> 00:12:40 about, so delta g is a state function, it's independent of 227 00:12:40 --> 00:12:44 path, and so therefore, what can you tell me about the 228 00:12:44 --> 00:12:48 equilibrium constant in the presence of a catalyst? 229 00:12:48 --> 00:13:44 OK, let's just take 10 more seconds. 230 00:13:44 --> 00:13:49 Yup, very good. 231 00:13:49 --> 00:13:52 So, the equilibrium constant is not changed. 232 00:13:52 --> 00:13:56 The thermodynamics, which includes delta g and the 233 00:13:56 --> 00:14:01 equilibrium constant are not affected, the rates of the 234 00:14:01 --> 00:14:06 reaction are affected. 235 00:14:06 --> 00:14:10 All right, so opposite of a catalyst is an inhabitor, and 236 00:14:10 --> 00:14:14 we'll talk more about this at the end of class, so it would 237 00:14:14 --> 00:14:18 -- inhibitor is slow or sometimes stop the rate of the 238 00:14:18 --> 00:14:23 reaction, and one way that they do this is by increasing 239 00:14:23 --> 00:14:27 the activation energy. 240 00:14:27 --> 00:14:30 So let's consider types of catalysts now. 241 00:14:30 --> 00:14:34 You can have a homogeneous catalyst, which is in the same 242 00:14:34 --> 00:14:39 phase as the reaction that it's catalyzing as the reactants. 243 00:14:39 --> 00:14:44 An example of this is depletion of the ozone layer by 244 00:14:44 --> 00:14:46 chlorofluorocarbons. 245 00:14:46 --> 00:14:52 And so, this was one of the big environmental challenges that 246 00:14:52 --> 00:14:56 the U.S. has faced, whether it should ban these 247 00:14:56 --> 00:15:01 chlorofluorocarbons, and there was a lot of debate on what the 248 00:15:01 --> 00:15:05 data really was about what how much they affected 249 00:15:05 --> 00:15:06 the ozone layer. 250 00:15:06 --> 00:15:08 And I guess that debate is somewhat still going on, 251 00:15:08 --> 00:15:11 although I think most people now recognize that this is a 252 00:15:11 --> 00:15:15 serious problem and that legislation is really 253 00:15:15 --> 00:15:16 needed to help correct it. 254 00:15:16 --> 00:15:18 So that's an example. 255 00:15:18 --> 00:15:21 In this case they're all gases, so that's homogeneous 256 00:15:21 --> 00:15:24 catalyst, not a happy one. 257 00:15:24 --> 00:15:27 You could also have heterogeneous catalysts, 258 00:15:27 --> 00:15:28 which are a different phase. 259 00:15:28 --> 00:15:31 And here's another example that has to do with the environment. 260 00:15:31 --> 00:15:35 So a catalytic converter is an example of a 261 00:15:35 --> 00:15:37 heterogeneous catalyst. 262 00:15:37 --> 00:15:41 So here you have a solid metal surface, you can have palladium 263 00:15:41 --> 00:15:46 or platinum that will catalyze reactions with gases, and so 264 00:15:46 --> 00:15:52 they catalyze oxidation of hydrocarbons, carbon monoxide, 265 00:15:52 --> 00:15:55 also reduction of nitrogen oxide. 266 00:15:55 --> 00:15:58 So this is all to reduce pollution. 267 00:15:58 --> 00:16:01 So that's an example of a heterogeneous catalyst. 268 00:16:01 --> 00:16:03 And let me just show you a little movie of 269 00:16:03 --> 00:16:05 how that might work. 270 00:16:05 --> 00:16:10 So in this movie, in grey here we have a metal surface, and 271 00:16:10 --> 00:16:14 this metal surface can break the hydrogen bond of h 2. 272 00:16:14 --> 00:16:17 And so here, it is already broken, the h 2 bond, so 273 00:16:17 --> 00:16:20 there's a little hydrogen there and hydrogen there, and so 274 00:16:20 --> 00:16:23 that activates the hydrogen to react. 275 00:16:23 --> 00:16:28 And so, then we have ethene molecule come in, and oh, there 276 00:16:28 --> 00:16:31 goes the hydrogen, and oh, there goes the hydrogen, oh, 277 00:16:31 --> 00:16:33 there goes the other one and you can form ethane. 278 00:16:33 --> 00:16:38 So it speeds up the reaction by breaking the h 2 bond so 279 00:16:38 --> 00:16:40 it's more ready to react. 280 00:16:40 --> 00:16:46 That would be an example of a heterogeneous catalyst there. 281 00:16:46 --> 00:16:49 All right, and, of course, you may all have guessed 282 00:16:49 --> 00:16:53 that my favorite kind of catalysts are enzymes. 283 00:16:53 --> 00:16:55 They are the catalyst of life. 284 00:16:55 --> 00:17:00 And so, enzymes are made up of protein, or mostly protein 285 00:17:00 --> 00:17:02 molecules -- you can have an enzyme that's actually made 286 00:17:02 --> 00:17:05 of RNA, but most are protein molecules. 287 00:17:05 --> 00:17:10 And they're typically about 20,000 grams per mole or more, 288 00:17:10 --> 00:17:14 and they're capable of carrying out specific reactions. 289 00:17:14 --> 00:17:18 And so, they're made up of amino acids, and just to take a 290 00:17:18 --> 00:17:21 quick look at that, an amino acid has an amino group and it 291 00:17:21 --> 00:17:24 has a carboxyl group, and it has what's called an alpha 292 00:17:24 --> 00:17:30 carbon that has a side chain on it, which is abbreviated r, and 293 00:17:30 --> 00:17:32 there are 20 different types of r. 294 00:17:32 --> 00:17:35 The simplest is just a hydrogen, you could also 295 00:17:35 --> 00:17:37 have a hydroxide, etc. 296 00:17:37 --> 00:17:40 And so, this makes up the alphabet of proteins, there are 297 00:17:40 --> 00:17:43 20 different ones of these that get connected via 298 00:17:43 --> 00:17:45 a peptide bond. 299 00:17:45 --> 00:17:48 So at the end of this amino acid you'd stick on the amino 300 00:17:48 --> 00:17:52 group of another amino acid and form this peptide bond. 301 00:17:52 --> 00:17:55 And then you put together hundreds and hundreds of these 302 00:17:55 --> 00:17:58 to form an enzyme complex. 303 00:17:58 --> 00:18:03 And so, the long chain of amino acids folds up and forms 304 00:18:03 --> 00:18:05 a compact structure. 305 00:18:05 --> 00:18:10 So, in this particular picture, there are about 200 amino acids 306 00:18:10 --> 00:18:14 in each of these colored units, so this is a tetramer, so there 307 00:18:14 --> 00:18:19 are four -- there's green, red, yellow and blue. 308 00:18:19 --> 00:18:21 And so, this is what's called a ribbon diagram. 309 00:18:21 --> 00:18:24 So, these ribbons, this is an alpha helix -- the 310 00:18:24 --> 00:18:27 beta strands are long. 311 00:18:27 --> 00:18:30 It traces out the position of the alpha carbons. 312 00:18:30 --> 00:18:34 And overall, this structure is about 90 angstroms by 70 313 00:18:34 --> 00:18:36 angstroms by 50 angstroms. 314 00:18:36 --> 00:18:40 Of course, 1 angstroms is 1 times 10 the minus 10 meters. 315 00:18:40 --> 00:18:42 So these are fairly small. 316 00:18:42 --> 00:18:46 These protein molecules are, of course, in your body. 317 00:18:46 --> 00:18:52 And this particular one is an enzyme that makes an 318 00:18:52 --> 00:18:55 antibiotic, and that antibiotic is fosfomycin, shown here. 319 00:18:55 --> 00:19:02 And so, fosfomycin is used in antibiotic combination 320 00:19:02 --> 00:19:06 therapies to treat staph infections and other 321 00:19:06 --> 00:19:09 kinds of very difficult infections to treat. 322 00:19:09 --> 00:19:13 And so, I always talk about the things that I'm 323 00:19:13 --> 00:19:15 most concerned about. 324 00:19:15 --> 00:19:18 There are a lot of things that are big threats that I 325 00:19:18 --> 00:19:20 don't worry too much about. 326 00:19:20 --> 00:19:22 Antibiotic resistance is something I actually 327 00:19:22 --> 00:19:23 worry a lot about. 328 00:19:23 --> 00:19:25 I guess I go to too many meetings were they 329 00:19:25 --> 00:19:26 talk about problems. 330 00:19:26 --> 00:19:32 But the rate at which different kinds of bacteria are becoming 331 00:19:32 --> 00:19:36 resistant to antibiotics seems to be increasing. 332 00:19:36 --> 00:19:40 So it used to take a lot longer before a resistance would 333 00:19:40 --> 00:19:42 appear than it does now. 334 00:19:42 --> 00:19:46 And there really haven't been, I think since about 1980s or 335 00:19:46 --> 00:19:48 so, really new antibiotics. 336 00:19:48 --> 00:19:53 So, we're still using the same antibiotics that we have been, 337 00:19:53 --> 00:19:57 which causes more things to become immune or resistant to 338 00:19:57 --> 00:20:01 those antibiotics, and I think this is really dangerous. 339 00:20:01 --> 00:20:04 And there's not enough money in it for the pharmaceutical 340 00:20:04 --> 00:20:06 industry to really go after this. 341 00:20:06 --> 00:20:11 And it's not just a problem for biological warfare, although 342 00:20:11 --> 00:20:16 that is a possibility, but also in hospitals, you go in for 343 00:20:16 --> 00:20:19 some kind of surgery, you have to worry about the fact that 344 00:20:19 --> 00:20:22 even if the surgery goes great, you might get an infection that 345 00:20:22 --> 00:20:25 could really compromise your health in the hospital. 346 00:20:25 --> 00:20:29 And so, whether you have a heart problem, if you have 347 00:20:29 --> 00:20:34 cancer, you become immune compromised, there's a lot, a 348 00:20:34 --> 00:20:38 lot of cases where people end up not dying of cancer 349 00:20:38 --> 00:20:43 directly, they end up dying of the bacterial infection 350 00:20:43 --> 00:20:45 that can't be treated. 351 00:20:45 --> 00:20:47 So this is really a huge problem. 352 00:20:47 --> 00:20:49 So I always like to let you know all the possible 353 00:20:49 --> 00:20:52 problems that you can solve in your future. 354 00:20:52 --> 00:20:55 This is one that I think is particularly important, and I 355 00:20:55 --> 00:20:58 hope some of you will focus on this, because we really need 356 00:20:58 --> 00:21:01 different kinds of antibiotics, or we need to change the way we 357 00:21:01 --> 00:21:05 do medicine in this country so that resistance doesn't become 358 00:21:05 --> 00:21:08 as much of a problem as it has been. 359 00:21:08 --> 00:21:13 All right, so that enzyme made an antibiotic, so we like it, 360 00:21:13 --> 00:21:16 and let's talk about how that works. 361 00:21:16 --> 00:21:19 How that particular series of amino acids folds up 362 00:21:19 --> 00:21:21 to do that reaction. 363 00:21:21 --> 00:21:24 So now we have some new nomenclature, and sometimes 364 00:21:24 --> 00:21:27 when people get into the biochemistry world they get 365 00:21:27 --> 00:21:28 scared because there are all these words that they 366 00:21:28 --> 00:21:30 don't know what they mean. 367 00:21:30 --> 00:21:33 So most of them are not -- they are things that you can relate 368 00:21:33 --> 00:21:35 back to something you already know. 369 00:21:35 --> 00:21:38 So, we've been talking about reactants, and when you have a 370 00:21:38 --> 00:21:42 reactant with an enzyme, it's usually called a substrate. 371 00:21:42 --> 00:21:45 So this is just another name for a reactant molecule. 372 00:21:45 --> 00:21:48 And then substrates tend to bind in what we call the active 373 00:21:48 --> 00:21:51 site of the enzyme, which is the part of the enzyme that's 374 00:21:51 --> 00:21:52 going to do the chemistry. 375 00:21:52 --> 00:21:55 So those are two terms that you'll hear about 376 00:21:55 --> 00:21:57 in biochemistry. 377 00:21:57 --> 00:22:01 All right, so we have an enzyme, we'll call it e, it 378 00:22:01 --> 00:22:04 binds a substrate, we'll call that s, and then it forms an 379 00:22:04 --> 00:22:09 enzyme substrate complex, which we'll call an e s complex, 380 00:22:09 --> 00:22:10 for enzyme substrate. 381 00:22:10 --> 00:22:14 And then that enzyme substrate complex will go to enzyme and 382 00:22:14 --> 00:22:16 product, which we'll call p. 383 00:22:16 --> 00:22:20 And if you look in the state-of-the-art biochemistry 384 00:22:20 --> 00:22:22 books, these are the abbreviations you'll 385 00:22:22 --> 00:22:23 see in there as well. 386 00:22:23 --> 00:22:28 So, this pains me greatly to show this cartoon, because I 387 00:22:28 --> 00:22:30 spend my career determining 3-dimensional structures of 388 00:22:30 --> 00:22:33 proteins, and so to describe it as a little squiggly 389 00:22:33 --> 00:22:35 is painful for me. 390 00:22:35 --> 00:22:36 But nonetheless, there you go. 391 00:22:36 --> 00:22:40 Also, the substrate is almost about as big as the enzyme. 392 00:22:40 --> 00:22:42 That is also usually not true. 393 00:22:42 --> 00:22:45 But nonetheless, here's a little cartoon. 394 00:22:45 --> 00:22:48 Here's our substrate binding to our enzyme, it's 395 00:22:48 --> 00:22:50 forming an e s complex. 396 00:22:50 --> 00:22:53 And then the enzyme is going to move the ears of the substrate 397 00:22:53 --> 00:22:58 around to form product, and now product is released. 398 00:22:58 --> 00:23:02 So, this is actually pretty simple in terms 399 00:23:02 --> 00:23:05 of writing a mechanism. 400 00:23:05 --> 00:23:08 And so, what we can do is write a mechanism the way that we 401 00:23:08 --> 00:23:11 have been writing a mechanism so far in this class. 402 00:23:11 --> 00:23:14 And so we're going to go through this, we're going to 403 00:23:14 --> 00:23:17 derive expression mostly to show you that all the things 404 00:23:17 --> 00:23:20 you've been learning are related to chemistry, they're 405 00:23:20 --> 00:23:22 also related to biochemistry. 406 00:23:22 --> 00:23:26 So, you already know a lot of biochemistry from just studying 407 00:23:26 --> 00:23:28 freshman chemistry in 511-1. 408 00:23:28 --> 00:23:31 All right, so we have 2 steps in our mechanism. 409 00:23:31 --> 00:23:34 We have enzyme binding substrate to form an 410 00:23:34 --> 00:23:38 intermediate enzyme substrate complex, which then goes on 411 00:23:38 --> 00:23:42 to form enzyme plus product in step 2. 412 00:23:42 --> 00:23:44 So the first step is reversible, the second 413 00:23:44 --> 00:23:47 step is not as drawn. 414 00:23:47 --> 00:23:49 All right, so now we can come up with the rates for each of 415 00:23:49 --> 00:23:54 the individual steps in this overall mechanism, and since 416 00:23:54 --> 00:23:57 they are elementary reactions or steps in an overall 417 00:23:57 --> 00:24:00 mechanism, we can write the rate laws directly 418 00:24:00 --> 00:24:02 from what we observe. 419 00:24:02 --> 00:24:04 So for the forward direction, we're going to have 420 00:24:04 --> 00:24:07 what rate constant? 421 00:24:07 --> 00:24:11 K 1 times the concentration of what? 422 00:24:11 --> 00:24:13 And? 423 00:24:13 --> 00:24:14 Yeah. 424 00:24:14 --> 00:24:15 So there we go. 425 00:24:15 --> 00:24:17 We have k 1 times the concentration of e and 426 00:24:17 --> 00:24:19 the concentration of s. 427 00:24:19 --> 00:24:21 See, you already knew how to do biochemistry. 428 00:24:21 --> 00:24:26 All right, so now at the rate of the reverse direction is 429 00:24:26 --> 00:24:29 -- what's our rate constant? 430 00:24:29 --> 00:24:32 K minus 1 times e s. 431 00:24:32 --> 00:24:36 And then for step 2, we have what rate constant? 432 00:24:36 --> 00:24:41 K 2 times e s. 433 00:24:41 --> 00:24:44 All right, so now we can talk about the rate 434 00:24:44 --> 00:24:46 formation of product. 435 00:24:46 --> 00:24:51 And so you'll see this expressed as d concentration of 436 00:24:51 --> 00:24:56 p d t, so the change in product that's being formed and that's 437 00:24:56 --> 00:25:01 going to be equal to the second step here, k 2 times e s. 438 00:25:01 --> 00:25:05 But, as has been the case before, e s is an intermediate, 439 00:25:05 --> 00:25:09 and we need to solve our rate laws, our rate expressions, 440 00:25:09 --> 00:25:13 in terms of reactants or products and rate constants. 441 00:25:13 --> 00:25:18 So we need to solve for the intermediate. 442 00:25:18 --> 00:25:22 All right, so let's think about solving for the intermediate. 443 00:25:22 --> 00:26:27 And why don't you tell me how to do that. 444 00:26:27 --> 00:26:42 OK, let's just take 10 more seconds. 445 00:26:42 --> 00:26:43 Very good. 446 00:26:43 --> 00:26:49 All right, so let's just take a look at why that is the case. 447 00:26:49 --> 00:26:55 So, when we solve for this, it's going to be equal to the 448 00:26:55 --> 00:26:59 formation of the intermediate, which happens in the first step 449 00:26:59 --> 00:27:01 with this rate that you told me, k 1 times the 450 00:27:01 --> 00:27:03 concentration of e s. 451 00:27:03 --> 00:27:06 And then we have the decomposition in the reverse 452 00:27:06 --> 00:27:11 of step one, so that's minus k minus 1 e s. 453 00:27:11 --> 00:27:14 And then we also have the consumption of the 454 00:27:14 --> 00:27:17 intermediate, which is -- so we have minus this step, 455 00:27:17 --> 00:27:20 which is k 2 times e s. 456 00:27:20 --> 00:27:23 So again, formation minus decomposition 457 00:27:23 --> 00:27:26 minus consumption. 458 00:27:26 --> 00:27:30 And now, we can use the steady state approximation. 459 00:27:30 --> 00:27:32 So the steady state approximation applies in 460 00:27:32 --> 00:27:37 biochemistry just as well as in all of your chemistry problems 461 00:27:37 --> 00:27:39 that you've done in this course. 462 00:27:39 --> 00:27:43 And so, the steady state approximation allows us to set 463 00:27:43 --> 00:27:46 that whole term equal to zero. 464 00:27:46 --> 00:27:51 So it says that the net rate of intermediate formation and 465 00:27:51 --> 00:27:56 decomposition and consumption is 0, or you can express it as 466 00:27:56 --> 00:28:00 the rate of formation of the intermediate equals the rates 467 00:28:00 --> 00:28:03 of decomposition and consumption -- those 468 00:28:03 --> 00:28:05 are equivalent. 469 00:28:05 --> 00:28:07 So we can set all of this equal to zero. 470 00:28:07 --> 00:28:13 So again, the same as what we've done before. 471 00:28:13 --> 00:28:15 All right, so now we're going to have a slight change of what 472 00:28:15 --> 00:28:19 we've done before, and this has to do with the practical 473 00:28:19 --> 00:28:20 consideration. 474 00:28:20 --> 00:28:26 So you can solve for these in terms of reactants and products 475 00:28:26 --> 00:28:31 and rate constants, but it's actually easier to solve for e 476 00:28:31 --> 00:28:37 s in terms of your total enzyme rather than your free enzyme. 477 00:28:37 --> 00:28:41 So what we've had before is our free enzyme, but we often don't 478 00:28:41 --> 00:28:43 know how much enzyme is free, and by that we mean not 479 00:28:43 --> 00:28:46 bound to the substrate. 480 00:28:46 --> 00:28:49 And so, we know how much total enzyme we put in, but we might 481 00:28:49 --> 00:28:52 not know how much of that is unbound. 482 00:28:52 --> 00:28:55 So it's actually easier for the experimentalist to 483 00:28:55 --> 00:28:58 solve for things in terms of total enzyme. 484 00:28:58 --> 00:29:03 And so what we're going to do then is we're going to replace 485 00:29:03 --> 00:29:07 our free enzyme term with the following, total enzyme minus 486 00:29:07 --> 00:29:11 bound, and total enzyme minus the bound enzyme is 487 00:29:11 --> 00:29:12 the free enzyme. 488 00:29:12 --> 00:29:16 So we're going to do this change that makes it easier 489 00:29:16 --> 00:29:19 for the experimentalist. 490 00:29:19 --> 00:29:22 So here's the term we had before, but now we want to 491 00:29:22 --> 00:29:28 replace this term of e with e to 0 minus e s. 492 00:29:28 --> 00:29:30 So we're going to put that, here's the term e up here, 493 00:29:30 --> 00:29:34 so we're going to replace that with e 0 minus e s. 494 00:29:34 --> 00:29:37 And then we're going to multiply that out, so we get k 495 00:29:37 --> 00:29:44 1, e 0, s minus k 1, e s, and then the concentration of 496 00:29:44 --> 00:29:46 substrate here, and the rest of it is the same. 497 00:29:46 --> 00:29:50 So we got rid of our term e. 498 00:29:50 --> 00:29:55 So now we can solve for e s. 499 00:29:55 --> 00:29:58 So this is what we just had, and so we're going to rearrange 500 00:29:58 --> 00:30:01 so the e s terms are on one side, so we have an e s 501 00:30:01 --> 00:30:03 term here, here, and here. 502 00:30:03 --> 00:30:05 So all that is going to be on one side, and then this other 503 00:30:05 --> 00:30:08 term will be on the other side of the equation. 504 00:30:08 --> 00:30:12 So now we have moved all the e s terms over here, so we've got 505 00:30:12 --> 00:30:14 rid of the negative numbers, we've added them all to the 506 00:30:14 --> 00:30:17 other side, and then on this side we just have 507 00:30:17 --> 00:30:19 this k 1 term left. 508 00:30:19 --> 00:30:22 Now we're going to pull out the e s terms. 509 00:30:22 --> 00:30:24 So, we'll solve for e s. 510 00:30:24 --> 00:30:28 We'll pull that out, that leaves us with k 1 times 511 00:30:28 --> 00:30:32 the concentration of s, k minus 1, and then k 2. 512 00:30:32 --> 00:30:36 And now we're going to take this and divide by that term in 513 00:30:36 --> 00:30:41 parentheses, and so now we've solved for e s in terms of 514 00:30:41 --> 00:30:46 total enzyme substrate and our rate constants. 515 00:30:46 --> 00:30:47 All right, now we're going to do another thing 516 00:30:47 --> 00:30:49 that's a bit different. 517 00:30:49 --> 00:30:53 We're going to introduce a term in biochemistry, which is k m, 518 00:30:53 --> 00:30:57 also known as the Michaelis-Menten constant, and 519 00:30:57 --> 00:31:01 so k m is equal to the rate constant for the 520 00:31:01 --> 00:31:08 forward/reverse direction, k minus 1 plus k 2 over k 1. 521 00:31:08 --> 00:31:14 So we're going to now try to use this in our expression. 522 00:31:14 --> 00:31:20 So we're going to put this term in there, and so to have this 523 00:31:20 --> 00:31:25 term of k m in there, we need to have this divided by k 1. 524 00:31:25 --> 00:31:29 So we can do that, it's OK, as long as we divide everything by 525 00:31:29 --> 00:31:32 k 1, so we're going to divide the top by k 1, and this 526 00:31:32 --> 00:31:35 by k 1, and that by k 1. 527 00:31:35 --> 00:31:41 So now, we divide all by k 1, and so we have this top with k 528 00:31:41 --> 00:31:44 1, this term with k 1, and this with k 1, and that's 529 00:31:44 --> 00:31:46 our k m value. 530 00:31:46 --> 00:31:49 But now we can simplify this, we've got a lot of k 1's here, 531 00:31:49 --> 00:31:53 and so if we simplify this, we can cross out those 532 00:31:53 --> 00:31:56 k 1's over there. 533 00:31:56 --> 00:32:00 And we can also get rid of these k 1's over here. 534 00:32:00 --> 00:32:03 And that's going to leave us with a much simpler expression. 535 00:32:03 --> 00:32:07 So that's going to leave us with the total enzyme 536 00:32:07 --> 00:32:11 times substrate over substrate plus k m. 537 00:32:11 --> 00:32:13 And that looks a whole lot better than that other 538 00:32:13 --> 00:32:21 term that we had before. 539 00:32:21 --> 00:32:25 OK, so we can now take this and substitute it back into the 540 00:32:25 --> 00:32:29 expression we had earlier. 541 00:32:29 --> 00:32:34 So here we had the rate of product formation, k 2 times 542 00:32:34 --> 00:32:37 this intermediate, we solved for the intermediate 543 00:32:37 --> 00:32:41 using total enzyme and using this k m term. 544 00:32:41 --> 00:32:45 And now we just put all of this times k 2. 545 00:32:45 --> 00:32:48 And if you put all of that times k 2, you have this 546 00:32:48 --> 00:32:52 expression, which is the Michaelis-Menten equation. 547 00:32:52 --> 00:32:56 So the only difference of what you did before was that you 548 00:32:56 --> 00:33:00 solved in terms of total enzyme, and also, we 549 00:33:00 --> 00:33:03 have this new k m term. 550 00:33:03 --> 00:33:06 And so now we have an equation that's used in a lot of 551 00:33:06 --> 00:33:12 biochemistry research to think about enzyme kinetics. 552 00:33:12 --> 00:33:15 So let's think about enzyme kinetics for a minute. 553 00:33:15 --> 00:33:18 This is what a plot often looks like -- we are looking at the 554 00:33:18 --> 00:33:22 product formed by an enzyme versus the concentration 555 00:33:22 --> 00:33:23 of substrate. 556 00:33:23 --> 00:33:24 And it often goes up. 557 00:33:24 --> 00:33:28 It's pretty steep, and then it starts to level off. 558 00:33:28 --> 00:33:31 So let's think about what's happening here. 559 00:33:31 --> 00:33:35 So if you have low substrate, so that's way down here, not 560 00:33:35 --> 00:33:39 much substrate is available, adding more substrate 561 00:33:39 --> 00:33:42 will increase this rate significantly, you'll form a 562 00:33:42 --> 00:33:45 lot more product, it increases the rate of product formation. 563 00:33:45 --> 00:33:48 Because a lot of the enzyme is free and can react 564 00:33:48 --> 00:33:49 with substrate. 565 00:33:49 --> 00:33:53 So it goes up, but then the rate starts to level off. 566 00:33:53 --> 00:33:58 So when you got to higher substrate concentrations, 567 00:33:58 --> 00:34:02 adding more substrate does not affect the rate much, the 568 00:34:02 --> 00:34:03 rate is leveling off. 569 00:34:03 --> 00:34:06 And we say that the enzyme is saturated. 570 00:34:06 --> 00:34:10 All the enzyme that you have in there already has substrate 571 00:34:10 --> 00:34:12 going on, it's already doing the chemistry. 572 00:34:12 --> 00:34:15 So if you're throwing more at it, the enzyme can't bind that 573 00:34:15 --> 00:34:19 substrate, it's busy with a different substrate molecule. 574 00:34:19 --> 00:34:22 So all the active sites in the enzyme are full, and 575 00:34:22 --> 00:34:24 so not much happens. 576 00:34:24 --> 00:34:28 So this kind of graph is what you often see 577 00:34:28 --> 00:34:32 in enzyme kinetics. 578 00:34:32 --> 00:34:34 Now let's think about that in terms of our 579 00:34:34 --> 00:34:34 Michaelis-Menten equation. 580 00:34:34 --> 00:34:40 So let's think about conditions when there's a lot of 581 00:34:40 --> 00:34:44 substrate, when substrate is much greater than k m. 582 00:34:44 --> 00:34:48 So here we have substrate and k m on the bottom of our 583 00:34:48 --> 00:34:52 equation, and what's going to happen if this term is much, 584 00:34:52 --> 00:34:56 much bigger than this k m term? 585 00:34:56 --> 00:35:00 What happens to the k m term? 586 00:35:00 --> 00:35:01 It goes away. 587 00:35:01 --> 00:35:04 It's really small compared to this, it's kind 588 00:35:04 --> 00:35:06 of insignificant. 589 00:35:06 --> 00:35:10 So, if that happens, then you can cancel substrate as well. 590 00:35:10 --> 00:35:13 And so, that means that under conditions where substrate is 591 00:35:13 --> 00:35:18 much greater than k m, the rate is a much simpler term, it's 592 00:35:18 --> 00:35:22 just equal to k 2 times your total enzyme. 593 00:35:22 --> 00:35:26 And so this has a name, this is called Vmax or the maximum 594 00:35:26 --> 00:35:29 velocity of the reaction. 595 00:35:29 --> 00:35:32 So, under these conditions, when the substrate is much 596 00:35:32 --> 00:35:36 greater than that k m value, this expression simplifies and 597 00:35:36 --> 00:35:40 you get just k 2, your rate constant, times your total 598 00:35:40 --> 00:35:44 enzyme, and that'll give you the maximum velocity 599 00:35:44 --> 00:35:47 of the reaction. 600 00:35:47 --> 00:35:49 And so, that's just written again here. 601 00:35:49 --> 00:35:53 Vmax equals k 2 times total enzyme, and that equation 602 00:35:53 --> 00:35:55 will be given to you on an equation sheet. 603 00:35:55 --> 00:35:56 So what's happening? 604 00:35:56 --> 00:35:58 What's happening is that you're up here. 605 00:35:58 --> 00:36:04 So when substrate concentration is much greater than k m, then 606 00:36:04 --> 00:36:06 you're in these conditions, and you're at some 607 00:36:06 --> 00:36:07 maximum velocity. 608 00:36:07 --> 00:36:10 So the velocity will only go, the rate of the reaction will 609 00:36:10 --> 00:36:14 only go so fast, it will saturate, it'll level off up 610 00:36:14 --> 00:36:17 here, and so you can calculate that maximum rate 611 00:36:17 --> 00:36:20 of that reaction. 612 00:36:20 --> 00:36:24 Now let's consider what happens when your substrate 613 00:36:24 --> 00:36:27 concentration equals your k m. 614 00:36:27 --> 00:36:32 So down here, if k m is equal to substrate, then 615 00:36:32 --> 00:36:36 we're going to have two substrates down here. 616 00:36:36 --> 00:36:39 And so, we can write this, if they're equal, we can write 617 00:36:39 --> 00:36:44 this as substrate plus substrate, and then we 618 00:36:44 --> 00:36:46 can do some canceling. 619 00:36:46 --> 00:36:50 So this will be equal to 2 substrates and then we can 620 00:36:50 --> 00:36:54 cancel that out, and so we get the rate of product formation 621 00:36:54 --> 00:36:58 under conditions where substrate equals k m of 622 00:36:58 --> 00:37:04 1/2 k 2 times the total enzyme concentration. 623 00:37:04 --> 00:37:07 And this is referred to the half maximal rate. 624 00:37:07 --> 00:37:13 Remember, the maximal rate was k 2 times this e knot, and 625 00:37:13 --> 00:37:18 so half of that is half the maximal rate here. 626 00:37:18 --> 00:37:23 So, the definition of k m is the concentration of 627 00:37:23 --> 00:37:28 substrate for which the rate is half maximal. 628 00:37:28 --> 00:37:32 So if your rate is half of the maximum rate, that substrate 629 00:37:32 --> 00:37:36 concentration that gives you half the maximum rate, 630 00:37:36 --> 00:37:38 is the value for k m. 631 00:37:38 --> 00:37:44 Substrate concentration equals k m at the half maximal rate. 632 00:37:44 --> 00:37:45 So let's just look at what that meant. 633 00:37:45 --> 00:37:52 So if this is Vmax up here, half of Vmax is here, half of 634 00:37:52 --> 00:37:56 that value, and the substrate concentration at half 635 00:37:56 --> 00:37:59 Vmax is equal to k m. 636 00:37:59 --> 00:38:03 So you can write those in on your diagram. 637 00:38:03 --> 00:38:07 Vmax is this velocity up here, half of that, when you're at 638 00:38:07 --> 00:38:12 half of the maximal rate, k m equals the substrate 639 00:38:12 --> 00:38:14 concentration. 640 00:38:14 --> 00:38:18 And there will be problems that you will work in your book very 641 00:38:18 --> 00:38:22 shortly, and often, the problems just have to do, 642 00:38:22 --> 00:38:25 they'll give you the information in words and the 643 00:38:25 --> 00:38:27 calculations can often be pretty simple. 644 00:38:27 --> 00:38:31 Sometimes it'll say, figure out what the k m for 645 00:38:31 --> 00:38:32 this reaction is. 646 00:38:32 --> 00:38:34 At this substrate concentration, the 647 00:38:34 --> 00:38:35 rate is half maximal. 648 00:38:35 --> 00:38:39 Well, at that substrate concentration, that's the k m. 649 00:38:39 --> 00:38:42 So, a lot of the problems are sort of word problems, they 650 00:38:42 --> 00:38:44 give you the information and you need to know what 651 00:38:44 --> 00:38:46 the definitions are. 652 00:38:46 --> 00:38:48 But let's try an example. 653 00:38:48 --> 00:38:54 So here in this example, we've talked about buffering in the 654 00:38:54 --> 00:39:00 blood, so the conversion of your ingredients that make your 655 00:39:00 --> 00:39:05 buffering agent in the blood, that can be catalyzed by 656 00:39:05 --> 00:39:08 an enzyme called carbonicanhydrase, and the 657 00:39:08 --> 00:39:13 following Michaelis-Menten constants are known, a k m is 658 00:39:13 --> 00:39:18 known, and a k 2 is known, and if you're doing experiment and 659 00:39:18 --> 00:39:22 you have a total concentration of your enzyme of 5 times 10 to 660 00:39:22 --> 00:39:26 the minus 6 molar, then you should be able to figure out 661 00:39:26 --> 00:39:31 what the maximum rate of the reaction would be. 662 00:39:31 --> 00:39:33 So, why don't you go ahead and tell me what the 663 00:39:33 --> 00:40:34 maximum rate would be. 664 00:40:34 --> 00:40:49 OK, let's just take 10 more seconds. 665 00:40:49 --> 00:40:49 Very good. 666 00:40:49 --> 00:40:51 Everyone's doing very good today. 667 00:40:51 --> 00:40:57 All right, so all you have to do, you have remember Vmax 668 00:40:57 --> 00:41:01 equals your total enzyme concentration times your k 2. 669 00:41:01 --> 00:41:05 And pretty much no one, hardly anyone was fooled 670 00:41:05 --> 00:41:07 by k m value there. 671 00:41:07 --> 00:41:11 All right, very good. 672 00:41:11 --> 00:41:16 So there are extra problems on enzyme kinetics posted 673 00:41:16 --> 00:41:18 on the extra problems posted on the Web. 674 00:41:18 --> 00:41:22 So there's a few there, so you can see the type of problems, 675 00:41:22 --> 00:41:24 again, they're like that, they're pretty simple. 676 00:41:24 --> 00:41:28 If you remember the definition of k m, and you'll be given the 677 00:41:28 --> 00:41:31 equation for Vmax, you should be able to handle 678 00:41:31 --> 00:41:35 the enzyme/kinetics problems pretty well. 679 00:41:35 --> 00:41:39 Often, also I'll ask questions like explain why at high 680 00:41:39 --> 00:41:44 substrate concentrations, the rate does not increase very 681 00:41:44 --> 00:41:48 much, or why the graph levels off, or I might ask you to draw 682 00:41:48 --> 00:41:53 the plot and tell me about low substrate concentrations, 683 00:41:53 --> 00:41:56 what's true there, and high substrate concentrations, 684 00:41:56 --> 00:41:56 what's true. 685 00:41:56 --> 00:41:58 So those are the types of questions you're going to get 686 00:41:58 --> 00:42:03 on enzyme kinetics, they're actually pretty simple. 687 00:42:03 --> 00:42:05 All right, so let's just talk briefly about 688 00:42:05 --> 00:42:07 enzyme inhibition. 689 00:42:07 --> 00:42:11 So the opposite of catalysis -- instead of binding a substrate, 690 00:42:11 --> 00:42:13 you'll bind an inhibitor. 691 00:42:13 --> 00:42:19 So often, these are actually pretty simple. 692 00:42:19 --> 00:42:22 An inhibitor sometimes will look a lot like a substrate or 693 00:42:22 --> 00:42:26 like a transition complex, and it'll blind to the enzyme. 694 00:42:26 --> 00:42:29 And when you have that inhibitor stuck in the active 695 00:42:29 --> 00:42:33 site, substrate physically can't bind, so it occupies the 696 00:42:33 --> 00:42:36 place that substrate goes, substrate will come in but 697 00:42:36 --> 00:42:38 it can't bind anywhere. 698 00:42:38 --> 00:42:42 So this is actually the mechanism by which a number 699 00:42:42 --> 00:42:44 of pharmaceuticals work. 700 00:42:44 --> 00:42:49 So, one thing that people who were designing enzyme 701 00:42:49 --> 00:42:56 inhibitors think about is the fact that enzymes do tend to 702 00:42:56 --> 00:43:00 stabilize a transition state in the reaction. 703 00:43:00 --> 00:43:05 So if you make an inhibitor that resembles a transition 704 00:43:05 --> 00:43:10 state, it should bind to the enzyme more tightly than 705 00:43:10 --> 00:43:14 either the reactants, the substrates, or the products. 706 00:43:14 --> 00:43:18 So, a lot of the pharmaceutical industry likes to try to figure 707 00:43:18 --> 00:43:22 out what the transition state might look like, and then try 708 00:43:22 --> 00:43:26 to make a molecule that looks like that transition state that 709 00:43:26 --> 00:43:29 hopefully will blind to the enzyme active site and prevent 710 00:43:29 --> 00:43:35 the enzyme from doing what it's supposed to do. 711 00:43:35 --> 00:43:38 So, just to kind of look back at this figure for a minute 712 00:43:38 --> 00:43:41 that you had earlier in your notes, so you have the 713 00:43:41 --> 00:43:46 transition state is often stabilized by a catalyst, and 714 00:43:46 --> 00:43:50 so an enzyme will also stabilize a transition state. 715 00:43:50 --> 00:43:53 So if you make your drug look like a transition state, it 716 00:43:53 --> 00:43:56 will hopefully bind very tightly. 717 00:43:56 --> 00:44:02 And so this is one of the sort of principles that's behind a 718 00:44:02 --> 00:44:05 lot of the pharmaceuticals that have made to treat 719 00:44:05 --> 00:44:07 HIV infections. 720 00:44:07 --> 00:44:11 So I mentioned last week we had world AIDS day, that 721 00:44:11 --> 00:44:14 understanding kinetics was actually very important 722 00:44:14 --> 00:44:16 in HIV research. 723 00:44:16 --> 00:44:19 And so, many of the pharmaceuticals that are given 724 00:44:19 --> 00:44:23 to HIV patients are what are called protease inhibitors. 725 00:44:23 --> 00:44:27 So they inhibit enzymes that are called proteases, and if 726 00:44:27 --> 00:44:31 you have ase at the end of the name that means it's an enzyme, 727 00:44:31 --> 00:44:34 and so protease means that it's an enzyme that 728 00:44:34 --> 00:44:35 cleaves proteins. 729 00:44:35 --> 00:44:37 It's a protein ase. 730 00:44:37 --> 00:44:40 And so, how do these enzymes work. 731 00:44:40 --> 00:44:43 Well, they cleave other proteins, they cleave peptide 732 00:44:43 --> 00:44:46 bonds, and so you often have some kind of either activated 733 00:44:46 --> 00:44:51 water or other hydroxide molecule that will attack here 734 00:44:51 --> 00:44:56 the carbonyl of a peptide bond, and it forms a tetrahedral 735 00:44:56 --> 00:44:59 intermediate, which then collapses and it cleaves 736 00:44:59 --> 00:45:00 that peptide bond. 737 00:45:00 --> 00:45:03 So the peptide bond is then broken, so that's what a 738 00:45:03 --> 00:45:06 protease does, and a protease inhibitor 739 00:45:06 --> 00:45:08 prevents that cleavage. 740 00:45:08 --> 00:45:12 So often, protease inhibitors look like tetrahedral 741 00:45:12 --> 00:45:15 intermediates, and so they'll bind to the protease active 742 00:45:15 --> 00:45:18 site and prevent the chemistry from occurring. 743 00:45:18 --> 00:45:21 So if it's a tetrahedral intermediate, what kind 744 00:45:21 --> 00:45:24 of angles should some pharmaceutical company be 745 00:45:24 --> 00:45:26 looking for in its compounds? 746 00:45:26 --> 00:45:28 109 . 747 00:45:28 --> 00:45:30 5, yes. 748 00:45:30 --> 00:45:36 So, molecules with this stable tetrahedral intermediate 749 00:45:36 --> 00:45:41 somewhere on the molecule could bind to the active site 750 00:45:41 --> 00:45:43 and prevent a catalysis. 751 00:45:43 --> 00:45:46 So, let me just show you one example of an improved HIV 752 00:45:46 --> 00:45:48 drug, and there it is. 753 00:45:48 --> 00:45:54 This is the tetrahedral site that binds at the active site 754 00:45:54 --> 00:45:58 of that enzyme, and the enzyme can't cleave this tetrahedral 755 00:45:58 --> 00:46:02 intermediate, and so this just binds, but the enzyme can't 756 00:46:02 --> 00:46:05 work on it, so it just sits there and prevents 757 00:46:05 --> 00:46:08 substrate from binding. 758 00:46:08 --> 00:46:12 So that's how a lot of these compounds work. 759 00:46:12 --> 00:46:15 And so, this is just a little picture of the enzyme active 760 00:46:15 --> 00:46:19 site and there's an inhibitor bound to the enzyme active 761 00:46:19 --> 00:46:22 site, and so a number of companies are working on trying 762 00:46:22 --> 00:46:25 to come up with better and better inhibitors that will sit 763 00:46:25 --> 00:46:28 in the HIV protease active site. 764 00:46:28 --> 00:46:33 So, knowledgeable of a reaction mechanism can lead to new 765 00:46:33 --> 00:46:35 therapeutic treatments. 766 00:46:35 --> 00:46:39 So, one question with this, with protease, there are a lot 767 00:46:39 --> 00:46:43 of proteases, not just the ones involved with HIV, and so one 768 00:46:43 --> 00:46:47 real problem is specificity and toxicity, so you want to have a 769 00:46:47 --> 00:46:51 drug that inhibits one enzyme and not all the enzymes 770 00:46:51 --> 00:46:53 in that category. 771 00:46:53 --> 00:46:56 So that's a big problem in the pharmaceutical industry. 772 00:46:56 --> 00:47:02 So, apparently, clicker results, we actually 773 00:47:02 --> 00:47:07 need to break a tie. 774 00:47:07 --> 00:47:11 But we can't do it now. 775 00:47:11 --> 00:47:19 OK, so Justin's section, woah! 776 00:47:19 --> 00:47:22 So, apparently we're having, we have the questions ready, but 777 00:47:22 --> 00:47:26 apparently they're not ready to be used right at the moment. 778 00:47:26 --> 00:47:32 So, we're going to use low tech here and indicate 779 00:47:32 --> 00:47:36 the results for today. 780 00:47:36 --> 00:47:42 And then on Wednesday, last day of class -- oh, my 781 00:47:42 --> 00:47:46 goodness, so close. 782 00:47:46 --> 00:47:57 Recitation 6, you were second. 783 00:47:57 --> 00:48:02 All right, so on Wednesday then, we're going to have 784 00:48:02 --> 00:48:06 the tie breaker, and review and evaluations. 785 00:48:06 --> 00:48:06