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 --> 00:00:28 PROFESSOR: So, you have now 10 seconds, go ahead and 10 00:00:28 --> 00:00:43 click in your answer. 11 00:00:43 --> 00:00:43 OK. 12 00:00:43 --> 00:00:47 We have a little bit of a mixed response here. 13 00:00:47 --> 00:00:49 So for those of you coming in late, I'm going to give you a 14 00:00:49 --> 00:00:55 second chance, and we say now what if the p k a was 4. 15 00:00:55 --> 00:00:59 Everything else is the same, but the p k a is now 4 -- 16 00:00:59 --> 00:01:17 what would the answer be? 17 00:01:17 --> 00:01:22 OK, go ahead and click in your response for a p k a of 4, 18 00:01:22 --> 00:01:45 everything else being the same. 19 00:01:45 --> 00:01:59 OK, let's do 10 seconds. 20 00:01:59 --> 00:02:01 Interesting. 21 00:02:01 --> 00:02:04 More people got that right. 22 00:02:04 --> 00:02:08 So it's the same answer for a p k a of 3 as a p k a of 4, but 23 00:02:08 --> 00:02:11 it gave people the opportunity to think about that a little 24 00:02:11 --> 00:02:14 more and see what their neighbors had voted and make a 25 00:02:14 --> 00:02:16 decision based on that. 26 00:02:16 --> 00:02:19 And so more people came up with the right answer. 27 00:02:19 --> 00:02:22 So let's consider now for a minute why this is true. 28 00:02:22 --> 00:02:25 So if you can switch to my lecture notes, I have a couple 29 00:02:25 --> 00:02:28 of slides on this that are not in your handout but that 30 00:02:28 --> 00:02:31 are related to things we've talked about. 31 00:02:31 --> 00:02:35 So just a brief sort of reminder of where we were 32 00:02:35 --> 00:02:37 with acid based titrations. 33 00:02:37 --> 00:02:42 So, we last time talked about what's happening at different 34 00:02:42 --> 00:02:47 points of the p h curve, and introduced this concept of 1/2 35 00:02:47 --> 00:02:51 equivalence point where the p h equals the p k a, where you 36 00:02:51 --> 00:02:54 have equal number of moles of molecules that are 37 00:02:54 --> 00:02:54 pronated as depronated. 38 00:02:54 --> 00:02:59 And another way to sort of think about this whole thing is 39 00:02:59 --> 00:03:02 that in the beginning at p h's that are lower than the 40 00:03:02 --> 00:03:06 p k a, you have more pronated molecules. 41 00:03:06 --> 00:03:10 And if p h is much above the p k a, you have more 42 00:03:10 --> 00:03:12 depronated molecules. 43 00:03:12 --> 00:03:14 So, we can think about things that way. 44 00:03:14 --> 00:03:18 So let's think about the last question that I asked where 45 00:03:18 --> 00:03:20 are have a p k a of 4. 46 00:03:20 --> 00:03:24 So, if you gave someone a sample of molecules where the p 47 00:03:24 --> 00:03:28 h was equal to the p k a of the molecule, you'd be giving them 48 00:03:28 --> 00:03:31 a sample where there would be equal amounts of pronated 49 00:03:31 --> 00:03:33 and depronated. 50 00:03:33 --> 00:03:36 But instead, if you gave a sample where the p h is much 51 00:03:36 --> 00:03:41 above the p k a, then you're going to be giving 52 00:03:41 --> 00:03:43 them a sample that's mostly depronated. 53 00:03:43 --> 00:03:48 And I emphasize about using, in terms of titrations, using 54 00:03:48 --> 00:03:51 Henderson Hasselbalch for buffer, but it also can be 55 00:03:51 --> 00:03:53 applied to thinking about this type of problem. 56 00:03:53 --> 00:03:57 And so you can be thinking about what sort of ratio are 57 00:03:57 --> 00:04:01 you going to get of your pronated to depronated when 58 00:04:01 --> 00:04:05 you have given a particular p k a and a particular p h. 59 00:04:05 --> 00:04:11 And so, if the p h is really very far above the p k a, then 60 00:04:11 --> 00:04:13 you're going to be largely depronated, and here's the 61 00:04:13 --> 00:04:16 math for these two numbers. 62 00:04:16 --> 00:04:20 If you're at a p h that's really below the p k a, 63 00:04:20 --> 00:04:22 then your molecules are going to be pronated. 64 00:04:22 --> 00:04:24 And so, you're going to be thinking about this kind of 65 00:04:24 --> 00:04:26 thing when you get to organic chemistry, and 66 00:04:26 --> 00:04:28 also biochemistry. 67 00:04:28 --> 00:04:32 Biochemists spend a lot of time thinking about the p k a's of 68 00:04:32 --> 00:04:36 amino acid side chains, and there are often mechanisms that 69 00:04:36 --> 00:04:39 people propose of how an enzyme works, and they're proposing 70 00:04:39 --> 00:04:42 that some residue is going to play a role as a catalytic 71 00:04:42 --> 00:04:45 acid or a base in an enzyme mechanism. 72 00:04:45 --> 00:04:49 And often people are proposing things that really just don't 73 00:04:49 --> 00:04:53 make much sense in terms of the p k a of that molecule, that 74 00:04:53 --> 00:04:55 they're proposing, that it's going to be giving off a 75 00:04:55 --> 00:05:00 proton, but given the p h of the enzyme in the body 76 00:05:00 --> 00:05:03 and given the p k a, it wouldn't be pronated. 77 00:05:03 --> 00:05:04 So how is it going to give off something it's 78 00:05:04 --> 00:05:05 not going to have. 79 00:05:05 --> 00:05:08 So these are the kinds of questions people talk about in 80 00:05:08 --> 00:05:11 biochemistry, and if you're in a biochemistry seminar and 81 00:05:11 --> 00:05:13 someone's talking about something like this, there will 82 00:05:13 --> 00:05:15 probably be a hand go up in the audience and say "What do you 83 00:05:15 --> 00:05:18 think the p k a is of that amino acid that you're 84 00:05:18 --> 00:05:22 proposing that role in this enzyme mechanism?" And there 85 00:05:22 --> 00:05:26 have been people who are pretty high profile who've gotten 86 00:05:26 --> 00:05:28 themselves in trouble over p k a issues. 87 00:05:28 --> 00:05:32 So now, you should all be ready to raise your hand in those 88 00:05:32 --> 00:05:34 seminars and say "What do you think the p k a is of that 89 00:05:34 --> 00:05:39 residue?" So, you'll be hearing about p k a's later, and the 90 00:05:39 --> 00:05:42 thing that makes me very excited is that some other 91 00:05:42 --> 00:05:46 people who are taking chemistry here, may not be as aware of 92 00:05:46 --> 00:05:49 the sort of biological role of p k a's. 93 00:05:49 --> 00:05:51 Now you know something, you've had some of these in your 94 00:05:51 --> 00:05:55 problem-sets, and so when you go into those advanced classes 95 00:05:55 --> 00:05:58 and there's a discussion of p k a, you'll raise your hand and 96 00:05:58 --> 00:06:01 impress my colleagues with your tremendous knowledge 97 00:06:01 --> 00:06:03 of p k a's. 98 00:06:03 --> 00:06:05 So I'm very excited about that. 99 00:06:05 --> 00:06:08 And please send me an email when you get extra points 100 00:06:08 --> 00:06:10 because of knowledge of p k a's. 101 00:06:10 --> 00:06:14 I want to collect that information and use it 102 00:06:14 --> 00:06:16 for evil purposes. 103 00:06:16 --> 00:06:18 No. 104 00:06:18 --> 00:06:22 But anyway, you can think about p k a's of molecules now, which 105 00:06:22 --> 00:06:24 will be very handy to you later on. 106 00:06:24 --> 00:06:28 So it's not just -- some people tell me, if I promise never to 107 00:06:28 --> 00:06:32 titrate a weak acid with a strong base, do I have to 108 00:06:32 --> 00:06:34 take that part of the test? 109 00:06:34 --> 00:06:38 Well, you know it's not just about acid based titrations. 110 00:06:38 --> 00:06:41 Some of the things you learn in that are actually relevant to 111 00:06:41 --> 00:06:44 other things that most of you will see later in your career. 112 00:06:44 --> 00:06:45 All right. 113 00:06:45 --> 00:06:50 So, I love enzymes, enzymes are great, I'm a biochemist. 114 00:06:50 --> 00:06:53 Acid base is very important in biochemistry. 115 00:06:53 --> 00:06:57 And the other thing that is very important in biochemistry 116 00:06:57 --> 00:06:59 is oxidation reduction. 117 00:06:59 --> 00:07:01 So, in these two units that we're doing now that'll be on 118 00:07:01 --> 00:07:05 the third exam, you're learning a lot of the basic principles 119 00:07:05 --> 00:07:09 that apply to how enzymes work. 120 00:07:09 --> 00:07:12 And so we started last time talking about some rules. 121 00:07:12 --> 00:07:15 Rules of assigning oxidation number. 122 00:07:15 --> 00:07:17 So this is sort of the very basic knowledge that you need 123 00:07:17 --> 00:07:21 to know to go on and do oxidation reduction problems. 124 00:07:21 --> 00:07:24 And here are those rules, and now let's see look at some 125 00:07:24 --> 00:07:35 examples of how we're going to apply these rules. 126 00:07:35 --> 00:07:38 So, first let's look at a compound that has lithium 127 00:07:38 --> 00:07:47 and oxygen in it. 128 00:07:47 --> 00:07:48 All right. 129 00:07:48 --> 00:07:53 What do I know about lithium's oxidation number? 130 00:07:53 --> 00:07:55 What's it going to be? 131 00:07:55 --> 00:07:56 Plus 1. 132 00:07:56 --> 00:08:00 So, things in group 1 are going to be plus 1, 133 00:08:00 --> 00:08:02 and I have 2 of them. 134 00:08:02 --> 00:08:04 So we're going to be using one of those rules up 135 00:08:04 --> 00:08:06 there to assign it. 136 00:08:06 --> 00:08:07 What about oxygen? 137 00:08:07 --> 00:08:12 What's oxygen going to be in this molecule? 138 00:08:12 --> 00:08:14 Minus 2. 139 00:08:14 --> 00:08:19 So it's not in a peroxide here, so it'll be minus 2. 140 00:08:19 --> 00:08:24 And then we have plus 2 minus 2 is equal to 0, and that's good, 141 00:08:24 --> 00:08:28 because there's no charge on this particular molecule, so 142 00:08:28 --> 00:08:32 all of the oxidation numbers should add up to 0. 143 00:08:32 --> 00:08:33 That's also one of our rules. 144 00:08:33 --> 00:08:40 All right, so let's look at p c l 5. 145 00:08:40 --> 00:08:47 So, what we know about oxidation number of chloride? 146 00:08:47 --> 00:08:48 What are you guessing? 147 00:08:48 --> 00:08:50 Minus 1. 148 00:08:50 --> 00:08:55 What's the exception to that? 149 00:08:55 --> 00:08:59 When it's with what? 150 00:08:59 --> 00:09:02 When it's with oxygen it can be different. 151 00:09:02 --> 00:09:04 All right, so there's 5 of those. 152 00:09:04 --> 00:09:07 I haven't told you anything about phosphorous, but what can 153 00:09:07 --> 00:09:09 you guess it's going to be? 154 00:09:09 --> 00:09:11 STUDENT: 5. 155 00:09:11 --> 00:09:14 PROFESSOR: I love that enthusiasm, good. 156 00:09:14 --> 00:09:19 So, it will be 5, and so overall, we're going 157 00:09:19 --> 00:09:22 to add up to 0. 158 00:09:22 --> 00:09:25 So you won't always have a rule about everything in your 159 00:09:25 --> 00:09:29 molecule, but you'll be given something that you can get a 160 00:09:29 --> 00:09:34 handle on and then predict what the other thing is going to be. 161 00:09:34 --> 00:09:41 So let's do a couple more. 162 00:09:41 --> 00:09:47 So, what about h n o 3? 163 00:09:47 --> 00:09:51 So let's start with oxygen -- you told me about oxygen, 164 00:09:51 --> 00:09:52 what's oxygen going to be here? 165 00:09:52 --> 00:09:55 STUDENT: Negative 2. 166 00:09:55 --> 00:09:57 PROFESSOR: Negative 2 and there's 3 of those. 167 00:09:57 --> 00:10:01 And we need to have this all add up to 0 again. 168 00:10:01 --> 00:10:03 So, what about hydrogen? 169 00:10:03 --> 00:10:05 STUDENT: Plus 1. 170 00:10:05 --> 00:10:07 PROFESSOR: Plus 1. 171 00:10:07 --> 00:10:09 What's the exception to that rule? 172 00:10:09 --> 00:10:14 When its with a metal. 173 00:10:14 --> 00:10:19 So what does that leave for nitrogen? 174 00:10:19 --> 00:10:21 Plus 5. 175 00:10:21 --> 00:10:23 And that will all add up. 176 00:10:23 --> 00:10:28 All right, so you're very good at this, so let's bring in that 177 00:10:28 --> 00:10:32 clicker competition, and you can tell me about 178 00:10:32 --> 00:10:56 this molecule. 179 00:10:56 --> 00:11:12 All right, 10 seconds. 180 00:11:12 --> 00:11:15 Excellent -- not necessarily for the competition since most 181 00:11:15 --> 00:11:19 people got it right, but I love seeing people get it right. 182 00:11:19 --> 00:11:31 So, 2 times plus 1 minus 2 is 0, so we know our states here. 183 00:11:31 --> 00:11:33 And I'll just tell you another thing you can do in doing these 184 00:11:33 --> 00:11:37 problems, if you recognize that something is often seen has a 185 00:11:37 --> 00:11:44 unit here, you can also think about this as h plus and n o 3 186 00:11:44 --> 00:11:48 minus, and you would get the same answers to the problem. 187 00:11:48 --> 00:11:50 So, if it's a little complicated and you want to 188 00:11:50 --> 00:11:53 break it apart, you can do that too, you'll get 189 00:11:53 --> 00:11:55 the same answers there. 190 00:11:55 --> 00:11:59 All right, so as I said, in this unit it's a lot of adding 191 00:11:59 --> 00:12:04 and subtracting, so this part is not too complicated, but you 192 00:12:04 --> 00:12:07 just have to be paying attention and doing your math, 193 00:12:07 --> 00:12:08 simple math, correctly. 194 00:12:08 --> 00:12:13 All right, so we looked at some examples. 195 00:12:13 --> 00:12:16 So now we're going to give some definitions. 196 00:12:16 --> 00:12:21 What is oxidation? 197 00:12:21 --> 00:12:23 What happens when something is oxidized? 198 00:12:23 --> 00:12:24 Yup. 199 00:12:24 --> 00:12:34 So, when you oxidize something, electrons are lost. 200 00:12:34 --> 00:12:37 What happens when you reduce something? 201 00:12:37 --> 00:12:39 STUDENT: Gain electrons. 202 00:12:39 --> 00:12:41 PROFESSOR: You gain electrons. 203 00:12:41 --> 00:12:43 Most people are good with those definitions. 204 00:12:43 --> 00:12:46 Here are some that give people a little bit more trouble. 205 00:12:46 --> 00:12:49 Oxidizing agent. 206 00:12:49 --> 00:13:01 So it is an agent of oxidation, so it accepts -- an oxidation 207 00:13:01 --> 00:13:05 agent is something that wants to oxidize something else, 208 00:13:05 --> 00:13:07 so it gets reduced itself. 209 00:13:07 --> 00:13:08 So it's an agent of oxidation. 210 00:13:08 --> 00:13:12 It runs around trying to oxidize other things, but it 211 00:13:12 --> 00:13:15 itself is going to get reduced, and then you can probably 212 00:13:15 --> 00:13:19 figure out what a reducing agent is, it's an 213 00:13:19 --> 00:13:21 agent of reduction. 214 00:13:21 --> 00:13:24 And so it itself will be oxidized. 215 00:13:24 --> 00:13:26 It'll try to reduce something else. 216 00:13:26 --> 00:13:28 It'll run around trying to reduce something, trying to 217 00:13:28 --> 00:13:33 give off its electrons, donate its electrons so 218 00:13:33 --> 00:13:36 that it can be oxidized. 219 00:13:36 --> 00:13:39 So, keep these definitions in mind, because you're going 220 00:13:39 --> 00:13:47 to be using them a lot in this unit. 221 00:13:47 --> 00:13:49 So now we're going to use them, we're going to look at a 222 00:13:49 --> 00:13:52 reaction, and we're going to think about what's being 223 00:13:52 --> 00:13:57 oxidized and what is being reduced. 224 00:13:57 --> 00:14:01 And this particular type of reaction, a disproportionation 225 00:14:01 --> 00:14:10 reaction, the same element can be both oxidized and reduced. 226 00:14:10 --> 00:14:14 So let's break this down into two equations. 227 00:14:14 --> 00:14:17 In every reaction there's going to be an oxidation and a 228 00:14:17 --> 00:14:20 reduction, and so you can write those separately. 229 00:14:20 --> 00:14:23 And poor sodium, sodium is getting kind of a jip. 230 00:14:23 --> 00:14:29 A lot in these last few units in acid base, and here again, 231 00:14:29 --> 00:14:32 it's a spectator ion here, so it doesn't even make 232 00:14:32 --> 00:14:34 it into the equation. 233 00:14:34 --> 00:14:38 And it was ineffective as a conjugate acid, it 234 00:14:38 --> 00:14:40 hasn't really been doing very much recently. 235 00:14:40 --> 00:14:41 But that's OK. 236 00:14:41 --> 00:14:44 All right, so let's look at what's going on here and try to 237 00:14:44 --> 00:14:48 figure out what's happening in terms of what's being reduced 238 00:14:48 --> 00:14:50 and what's being oxidized. 239 00:14:50 --> 00:14:54 So let's start over here, let's think about what the 240 00:14:54 --> 00:14:59 oxidation numbers are in this particular molecule. 241 00:14:59 --> 00:15:05 So what would be true about oxygen here and chloride. 242 00:15:05 --> 00:15:08 What do we know about this combination of things in 243 00:15:08 --> 00:15:14 terms of oxidation numbers? 244 00:15:14 --> 00:15:25 So let's start with chloride, what's that going to be here? 245 00:15:25 --> 00:15:28 So, we have a minus 2 here. 246 00:15:28 --> 00:15:31 And the whole thing is going to be minus 1, and so what 247 00:15:31 --> 00:15:32 is that about chloride? 248 00:15:32 --> 00:15:35 Plus 1, right. 249 00:15:35 --> 00:15:37 So this is one of the exceptions. 250 00:15:37 --> 00:15:41 Chloride is usually minus 1, except when it's with oxygen, 251 00:15:41 --> 00:15:45 and here we have an overall charge of the molecule of minus 252 00:15:45 --> 00:15:47 1, so it all has to add up to minus 1 and it does. 253 00:15:47 --> 00:15:51 All right, so now let's do that side. 254 00:15:51 --> 00:15:54 So what's going on here? 255 00:15:54 --> 00:15:56 Are they going to be similar or different? 256 00:15:56 --> 00:16:01 Let's start with the oxygen, what's that going to be? 257 00:16:01 --> 00:16:04 So we have three negative 2's. 258 00:16:04 --> 00:16:07 It's not a peroxide, so it's negative 2 for oxygen. 259 00:16:07 --> 00:16:11 The overall has to be equal to minus 1, so 260 00:16:11 --> 00:16:12 what is chloride here? 261 00:16:12 --> 00:16:15 Plus 5, right. 262 00:16:15 --> 00:16:17 So that's unusual, but that's what it is. 263 00:16:17 --> 00:16:19 So we use our rules. 264 00:16:19 --> 00:16:22 Chloride is usually minus 1, except when it's with 265 00:16:22 --> 00:16:24 oxygen, and then it can be something different. 266 00:16:24 --> 00:16:28 So, here chloride's going from plus 1 to plus 5, so 267 00:16:28 --> 00:16:29 what's happening to it? 268 00:16:29 --> 00:16:37 Is it being oxidized or reduced? 269 00:16:37 --> 00:16:38 Yup. 270 00:16:38 --> 00:16:41 So it's going from plus 1 to plus 5, so we have 271 00:16:41 --> 00:16:43 an oxidation going on. 272 00:16:43 --> 00:16:46 So to tell whether something is an oxidation or not, you need 273 00:16:46 --> 00:16:49 to figure out what the oxidation numbers are and then 274 00:16:49 --> 00:16:52 see what's changing in the course of that reaction. 275 00:16:52 --> 00:16:57 All right, so down here, we've already done this one, so 276 00:16:57 --> 00:16:59 we can put that down here. 277 00:16:59 --> 00:17:03 So we have minus 2 for oxygen, overall minus 1, and so 278 00:17:03 --> 00:17:05 chloride is plus 1 again. 279 00:17:05 --> 00:17:11 And what's the oxidation number on the other side for chlorine? 280 00:17:11 --> 00:17:12 Minus 1. 281 00:17:12 --> 00:17:15 I just have to look, and so that's minus 1. 282 00:17:15 --> 00:17:20 So here we're going from plus 1 to minus 1, so what is that? 283 00:17:20 --> 00:17:22 That's a reduction. 284 00:17:22 --> 00:17:25 And if we had figured out that they're both oxidations and 285 00:17:25 --> 00:17:28 something we would have done incorrectly, because in these 286 00:17:28 --> 00:17:31 reactions you're going to have oxidations and reductions. 287 00:17:31 --> 00:17:35 So, here, and this is disproportionation. 288 00:17:35 --> 00:17:37 So, you have chloride in one state, and in another, it's 289 00:17:37 --> 00:17:43 undergoing a reduction. 290 00:17:43 --> 00:17:46 OK, so that's how you sort of think about what's happening 291 00:17:46 --> 00:17:48 in these types of reactions. 292 00:17:48 --> 00:17:51 So now we need to balance reactions. 293 00:17:51 --> 00:17:54 And this is very important in getting the correct answer to 294 00:17:54 --> 00:17:58 the later problems, and so we'll go through an example of 295 00:17:58 --> 00:17:59 how you're going to balance. 296 00:17:59 --> 00:18:02 You need to think about whether it's an acidic solution or 297 00:18:02 --> 00:18:07 basic solution, and we'll talk about that at the end. 298 00:18:07 --> 00:18:12 So, first here, we can look at the two 1/2 reactions going on, 299 00:18:12 --> 00:18:14 we have iron, we have chromium, and so we're going to look 300 00:18:14 --> 00:18:17 at those separately. 301 00:18:17 --> 00:18:22 So here is the first one, and let's think about what's 302 00:18:22 --> 00:18:23 happening over here. 303 00:18:23 --> 00:18:38 So, what would our oxidation number of the oxygen be here? 304 00:18:38 --> 00:18:39 What is happening to it? 305 00:18:39 --> 00:18:42 So, figure out what the oxidation numbers are of the 306 00:18:42 --> 00:18:45 chromium on one side, you know what it is on the other side, 307 00:18:45 --> 00:19:06 and then tell me what's happening to it. 308 00:19:06 --> 00:19:07 I hear some murmuring. 309 00:19:07 --> 00:19:10 People in one recitation aren't helping out people in the 310 00:19:10 --> 00:19:16 other recitation, are they? 311 00:19:16 --> 00:19:19 All right. 312 00:19:19 --> 00:19:21 Do you need more times? 313 00:19:21 --> 00:19:22 You good? 314 00:19:22 --> 00:19:22 You clicked in? 315 00:19:22 --> 00:19:39 Let's do 10 seconds. 316 00:19:39 --> 00:19:40 OK. 317 00:19:40 --> 00:19:42 People did pretty well on that one. 318 00:19:42 --> 00:19:44 Let's look at the answer to that. 319 00:19:44 --> 00:19:50 So, let's go back to my Powerpoint. 320 00:19:50 --> 00:19:56 And so, oxidation number for oxygen here, minus 2. 321 00:19:56 --> 00:20:00 The overall charge on that is minus 2. 322 00:20:00 --> 00:20:04 So you have to figure out what the math equals there. 323 00:20:04 --> 00:20:08 And so, if you run through the math, then you see that you're 324 00:20:08 --> 00:20:17 going from a plus 6 to a plus 3 state, so we have a reduction. 325 00:20:17 --> 00:20:21 OK, 75% did that, got that, good. 326 00:20:21 --> 00:20:25 So, most of you should be able to get this one now, iron 327 00:20:25 --> 00:20:26 plus 2 to iron plus 3. 328 00:20:26 --> 00:20:29 Just yell it out, what is that? 329 00:20:29 --> 00:20:30 Yeah. 330 00:20:30 --> 00:20:33 So here we have our oxidation. 331 00:20:33 --> 00:20:35 Now let's balance this. 332 00:20:35 --> 00:20:39 And I left some nice blanks in your notes, but not so many 333 00:20:39 --> 00:20:42 that you won't be able to keep up and you should feel free to 334 00:20:42 --> 00:20:46 yell out the answers and we'll go through balancing 335 00:20:46 --> 00:20:49 this pretty quickly. 336 00:20:49 --> 00:20:51 So there's a couple of different rules. 337 00:20:51 --> 00:20:53 I'll just say some books have things differently. 338 00:20:53 --> 00:20:56 If you can get the right answer, you can use whatever 339 00:20:56 --> 00:20:58 procedure you want. 340 00:20:58 --> 00:21:01 I have found in the past that this particular procedure a 341 00:21:01 --> 00:21:04 lot of people find to be the easiest. 342 00:21:04 --> 00:21:08 So I'll teach you this one, but you're free to use whichever 343 00:21:08 --> 00:21:09 ones work well for you. 344 00:21:09 --> 00:21:13 All right, so the first thing we want to do is balance all 345 00:21:13 --> 00:21:17 elements that are not oxygen or hydrogen. 346 00:21:17 --> 00:21:19 To make it equal on both sides, we're going to do oxygen 347 00:21:19 --> 00:21:21 and hydrogen later. 348 00:21:21 --> 00:21:25 But what do we need to do up here to balance 349 00:21:25 --> 00:21:29 our non-oxygens? 350 00:21:29 --> 00:21:31 We need to add a what? 351 00:21:31 --> 00:21:35 A 2. 352 00:21:35 --> 00:21:37 So we need to add a 2 over here, two chromiums here, 353 00:21:37 --> 00:21:39 two on the other side. 354 00:21:39 --> 00:21:40 What about for iron? 355 00:21:40 --> 00:21:43 Nothing. 356 00:21:43 --> 00:21:46 All right, so that was pretty simple. 357 00:21:46 --> 00:21:52 Now, in this procedure you add water to balance the oxygens. 358 00:21:52 --> 00:21:56 So, what are we going to do up here. 359 00:21:56 --> 00:22:01 How many waters do we need to add? 360 00:22:01 --> 00:22:05 So we need to add 7 waters. 361 00:22:05 --> 00:22:08 And the bottom one, bottom one's pretty easy so far, we 362 00:22:08 --> 00:22:11 don't have to do anything. 363 00:22:11 --> 00:22:15 So, go ahead and write in your 7 waters. 364 00:22:15 --> 00:22:18 Next step is we're going to balance the hydrogens that we 365 00:22:18 --> 00:22:24 just added, and we can balance here with h plus, and I say 366 00:22:24 --> 00:22:26 here's one place that books are different. 367 00:22:26 --> 00:22:29 Some of them balance in the more sort of technically 368 00:22:29 --> 00:22:32 correct way with hydroium ions, but then your oxygens get 369 00:22:32 --> 00:22:37 unbalanced again, so it's OK to use the simpler approach, and 370 00:22:37 --> 00:22:39 just balance with h plus. 371 00:22:39 --> 00:22:42 So how many h plusses do we need to add to 372 00:22:42 --> 00:22:46 balance the top part? 373 00:22:46 --> 00:22:49 Yup, so we need to add 14 over here. 374 00:22:49 --> 00:22:53 Again, the bottom one, nothing to do. 375 00:22:53 --> 00:22:56 Pretty simple. 376 00:22:56 --> 00:23:00 Now we need to balance the charge, so we just added h 377 00:23:00 --> 00:23:04 plusses, so we just added some charge to this, and now we have 378 00:23:04 --> 00:23:08 to balance the overall charge, so you want the charge on one 379 00:23:08 --> 00:23:11 side of the equation to be equal to the charge on the 380 00:23:11 --> 00:23:13 other side of the equation. 381 00:23:13 --> 00:23:16 So how many electrons are we going to have to add 382 00:23:16 --> 00:23:30 to this top equation to balance the charge? 383 00:23:30 --> 00:23:31 I heard the answer. 384 00:23:31 --> 00:23:34 6. 385 00:23:34 --> 00:23:36 So we have to add 6. 386 00:23:36 --> 00:23:41 I told you, this unit involves adding and subtracting in your 387 00:23:41 --> 00:23:45 head, and you always want to check your work when you're 388 00:23:45 --> 00:23:49 doing this on an exam, because it's really sad when you lose 389 00:23:49 --> 00:23:52 points for something that is adding and subtracting. 390 00:23:52 --> 00:23:54 So you want to make sure that you don't lose points 391 00:23:54 --> 00:23:57 on these on an exam. 392 00:23:57 --> 00:23:59 So what about the bottom -- finally we get to do 393 00:23:59 --> 00:24:03 something with the bottom one, what do we do? 394 00:24:03 --> 00:24:07 So, we add how many electrons? 395 00:24:07 --> 00:24:08 1, right. 396 00:24:08 --> 00:24:12 OK, so now our charge is balanced. 397 00:24:12 --> 00:24:18 So now, we want to multiply up one of the 1/2 reactions so 398 00:24:18 --> 00:24:23 that the electrons are going to cancel, and so what do we have 399 00:24:23 --> 00:24:27 to multiply by the bottom equation so that the electrons 400 00:24:27 --> 00:24:30 cancel with the first? 401 00:24:30 --> 00:24:32 6. 402 00:24:32 --> 00:24:40 So we have 6, 6, and 6. 403 00:24:40 --> 00:24:43 And now, we're going to add those together and make the 404 00:24:43 --> 00:24:48 appropriate cancellations. 405 00:24:48 --> 00:24:53 So here is our overall equation -- we have the 6 electrons, the 406 00:24:53 --> 00:24:57 14 protons, we have our chromium oxide compound, we 407 00:24:57 --> 00:25:01 have the 6 iron 2 plusses, on the other side, the 2 chromium 408 00:25:01 --> 00:25:05 3 plusses, the 7 waters, the 6 iron 3 plusses, and 409 00:25:05 --> 00:25:07 the 6 electrons. 410 00:25:07 --> 00:25:10 So, we should be able to cancel the electrons, 411 00:25:10 --> 00:25:15 so we cancel those out. 412 00:25:15 --> 00:25:18 And now we want to double check that, in fact, it's balanced. 413 00:25:18 --> 00:25:21 Again, this is very important to do on the test, it's really 414 00:25:21 --> 00:25:24 easy to make some kind of math mistake, but you should be able 415 00:25:24 --> 00:25:26 to figure it out at this point. 416 00:25:26 --> 00:25:29 It won't be balanced if you've made a math mistake. 417 00:25:29 --> 00:25:33 So there should be 14 hydrogens over here, 14 over there, 2 418 00:25:33 --> 00:25:37 chromiums, 2 chromiums, you have 7 oxygens here, 7 oxygens 419 00:25:37 --> 00:25:40 there, 6 irons, 6 irons. 420 00:25:40 --> 00:25:44 And the charge also should be balanced on both sides. 421 00:25:44 --> 00:25:47 So you can double check that and if it's good, 422 00:25:47 --> 00:25:48 then you're done. 423 00:25:48 --> 00:25:52 And this was in acidic solution, so we should have 424 00:25:52 --> 00:25:57 again this number and a charge of plus 24 on each side, double 425 00:25:57 --> 00:26:01 check, make sure it's correct. 426 00:26:01 --> 00:26:05 So, that was acidic solution and we ended up with an 427 00:26:05 --> 00:26:07 equation that had h plusses in it. 428 00:26:07 --> 00:26:11 You can also be asked to do it in basic solution, and again, 429 00:26:11 --> 00:26:14 books have different approaches here. 430 00:26:14 --> 00:26:19 What I like to do is the simplest thing, which is to use 431 00:26:19 --> 00:26:24 the same steps all the way up to here to get your same answer 432 00:26:24 --> 00:26:28 that you had for the acidic solution, and then neutralize 433 00:26:28 --> 00:26:29 it at this point. 434 00:26:29 --> 00:26:34 So, adjust the p h in quotes by adding hydroxide ions to both 435 00:26:34 --> 00:26:40 sides, and so, if we have 14 h plusses here, we can add 14 o 436 00:26:40 --> 00:26:45 h's on one side, and 14 o h minus on the other side. 437 00:26:45 --> 00:26:49 And then we can add those guys together. 438 00:26:49 --> 00:26:52 So we have now 14 waters over here. 439 00:26:52 --> 00:26:55 And we have still our 7 waters on this side, and then the 440 00:26:55 --> 00:26:58 14 hydroxides on this side. 441 00:26:58 --> 00:27:00 And now, we should be able to cancel out 442 00:27:00 --> 00:27:03 some of those waters. 443 00:27:03 --> 00:27:07 So, we had 14 over here, 7 over here, so we can just 444 00:27:07 --> 00:27:09 have 7 on this side. 445 00:27:09 --> 00:27:11 And now we have an equation that looks like it's 446 00:27:11 --> 00:27:13 in basic solution. 447 00:27:13 --> 00:27:15 So instead of having h plus, which you would have in 448 00:27:15 --> 00:27:18 acid, you have hydroxide for basic solution. 449 00:27:18 --> 00:27:20 So you can follow the same rules. 450 00:27:20 --> 00:27:21 Again, some books do it differently. 451 00:27:21 --> 00:27:25 I think this is the simplest way to do it, the least likely 452 00:27:25 --> 00:27:29 to make those kind of adding and subtracting errors. 453 00:27:29 --> 00:27:31 So those are sort of the fundamentals you 454 00:27:31 --> 00:27:32 need for this unit. 455 00:27:32 --> 00:27:36 You need to figure out oxidation numbers, looking at 456 00:27:36 --> 00:27:40 the composition of a molecule, and you need to be able 457 00:27:40 --> 00:27:41 to balance equations. 458 00:27:41 --> 00:27:44 When you can do that, you can go on to do other things. 459 00:27:44 --> 00:27:49 So, at this point -- oh, let me just say, those are the two 460 00:27:49 --> 00:27:53 answers there, so you can see acid and then in base. 461 00:27:53 --> 00:27:58 So, at this point then, I want to try to do a little demo to 462 00:27:58 --> 00:28:04 show you that when you do do oxidation reduction reactions, 463 00:28:04 --> 00:28:08 cool things can happen. 464 00:28:08 --> 00:28:12 So, it's more exciting, perhaps, in real life 465 00:28:12 --> 00:28:15 when oxidation happens than on paper. 466 00:28:15 --> 00:28:20 So I'm going to turn it over now to Dr. Taylor and Dr. 467 00:28:20 --> 00:28:24 Patti Christie who's here to help us with this demo. 468 00:28:24 --> 00:28:26 And they will -- go for it. 469 00:28:26 --> 00:28:28 PROFESSOR: OK, so this is mostly visual, there's not 470 00:28:28 --> 00:28:29 too much we'll need to say. 471 00:28:29 --> 00:28:31 Basically what we're going to do for you 472 00:28:31 --> 00:28:33 is oxidize magnesium. 473 00:28:33 --> 00:28:39 So we have a source of oxidation, which is going to be 474 00:28:39 --> 00:28:43 carbon dioxide, which is dry ice, and what we put inside the 475 00:28:43 --> 00:28:45 dry ice is solid magnesium. 476 00:28:45 --> 00:28:49 So we're going to set the magnesium on fire, and then put 477 00:28:49 --> 00:28:53 the oxidating agent on top of it, and you can see the rest of 478 00:28:53 --> 00:28:55 what's going to happen there. 479 00:28:55 --> 00:28:57 And you can actually also determine if this is an 480 00:28:57 --> 00:29:34 exothermic or an endothermic reaction while you're at it. 481 00:29:34 --> 00:29:35 [EXPERIMENTING] 482 00:29:35 --> 00:29:36 [APPLAUSE] 483 00:29:36 --> 00:30:36 PROFESSOR: Thanks to my helpers. 484 00:30:36 --> 00:30:46 All right. 485 00:30:46 --> 00:30:50 So oxidation reduction reactions can be quite 486 00:30:50 --> 00:30:56 interesting, and don't try that at home. 487 00:30:56 --> 00:31:00 So, we're going to continue on now, you know the basics and 488 00:31:00 --> 00:31:03 we're going to talk about electric chemical cells. 489 00:31:03 --> 00:31:06 We're going to introduce Faraday's law, and a thing I 490 00:31:06 --> 00:31:11 love to do, is come back to my friend Gibb's free energy. 491 00:31:11 --> 00:31:16 So, thermodynamics is all over the place in chemistry and you 492 00:31:16 --> 00:31:18 can't get very far away from it. 493 00:31:18 --> 00:31:20 So hopefully, by the end of the class today, we'll 494 00:31:20 --> 00:31:23 come back to free energy. 495 00:31:23 --> 00:31:25 All right, so what is an electric chemical cell. 496 00:31:25 --> 00:31:30 It's any device in which electric current, which is a 497 00:31:30 --> 00:31:35 flow of electrons through a circuit, is either produced 498 00:31:35 --> 00:31:39 by a spontaneous reaction, or used to bring about a 499 00:31:39 --> 00:31:41 non-spontaneous reaction. 500 00:31:41 --> 00:31:45 And so a battery is technically a collection of cells in a 501 00:31:45 --> 00:31:50 series, so that the voltage that each cell produces is the 502 00:31:50 --> 00:31:55 sum, the battery has the sum of the voltages of each cell. 503 00:31:55 --> 00:31:59 So, let's take a look at what some of these might look like. 504 00:31:59 --> 00:32:02 Here's a little cartoon of a simple version. 505 00:32:02 --> 00:32:06 We have a beaker -- 2 beakers with different solutions in 506 00:32:06 --> 00:32:11 them, 2 electrodes, a salt bridge across, and as electrons 507 00:32:11 --> 00:32:18 transfer through this, you can read a current on an amp meter 508 00:32:18 --> 00:32:21 here, you can read some kind of voltage coming off. 509 00:32:21 --> 00:32:26 And so, I like to talk about how good you guys have it at 510 00:32:26 --> 00:32:31 MIT with the Web and handouts and everything and how students 511 00:32:31 --> 00:32:33 in the old days at MIT, if they're going to do their 512 00:32:33 --> 00:32:36 problem-sets at night, first they had to build a battery to 513 00:32:36 --> 00:32:39 get electricity to be able to see. 514 00:32:39 --> 00:32:42 So you guys have it easy, you have these electric lights and 515 00:32:42 --> 00:32:47 all this fancy stuff now here. 516 00:32:47 --> 00:32:49 So, let's sort of break apart sort of a components. 517 00:32:49 --> 00:32:55 Here is my beautiful picture that I drew of this system, 518 00:32:55 --> 00:32:57 that's why I show you a better cartoon first. 519 00:32:57 --> 00:33:00 So this is a beaker that you -- here's one beaker with 520 00:33:00 --> 00:33:04 one solution on this side, here is the other beaker. 521 00:33:04 --> 00:33:09 So we have two electrodes put in, we have a salt bridge, and 522 00:33:09 --> 00:33:13 then we have a wire across where we can measure voltage. 523 00:33:13 --> 00:33:17 So, let's think about what is happening on each side. 524 00:33:17 --> 00:33:23 So in one beaker you're going to have an oxidation reduction, 525 00:33:23 --> 00:33:26 and in the other beaker you're going to have a reduction. 526 00:33:26 --> 00:33:30 So if we think about what's happening over here, you could 527 00:33:30 --> 00:33:36 have a zinc system, is oxidized from zinc 0 to zinc plus 2. 528 00:33:36 --> 00:33:39 And so, this is sort of a view of what would be happening at 529 00:33:39 --> 00:33:42 the electrode, you have zinc solid or zinc 0, and you've 530 00:33:42 --> 00:33:45 also have zinc plus 2 in solution. 531 00:33:45 --> 00:33:50 And so, as you take a zinc solid atom, going into 532 00:33:50 --> 00:33:53 zinc plus 2, you can have an oxidation reaction. 533 00:33:53 --> 00:33:56 And here would be the equation going down. 534 00:33:56 --> 00:33:59 So zinc solid to zinc plus 2 with two electrons. 535 00:33:59 --> 00:34:03 Those electrons can go through to our other beaker on this 536 00:34:03 --> 00:34:10 other side, and so here we have a copper solid electrode or a 537 00:34:10 --> 00:34:15 cathode in this case, and we have copper plus 2 in solution, 538 00:34:15 --> 00:34:19 which is being reduced to copper solid, and so 539 00:34:19 --> 00:34:22 we're plating on to our electrode on this side. 540 00:34:22 --> 00:34:24 And so, here we have the reduction reaction, copper 541 00:34:24 --> 00:34:27 2 with two electrons going to copper solid. 542 00:34:27 --> 00:34:30 So our oxidation is happening at an electrode 543 00:34:30 --> 00:34:31 called the anode. 544 00:34:31 --> 00:34:33 The reduction is happening in an electrode 545 00:34:33 --> 00:34:34 called the cathode. 546 00:34:34 --> 00:34:37 And as these reactions occur, you're changing the 547 00:34:37 --> 00:34:39 charge on either side. 548 00:34:39 --> 00:34:43 So, you have this salt bridge, and so to neutralize the change 549 00:34:43 --> 00:34:47 in charge, you would have negative ions come down here, 550 00:34:47 --> 00:34:49 because we're producing more plus 2. 551 00:34:49 --> 00:34:53 And on the other side potassium is going in as we're going from 552 00:34:53 --> 00:34:57 copper plus 2 to copper solid, again, to balance this change 553 00:34:57 --> 00:34:59 in charge that's occurring. 554 00:34:59 --> 00:35:03 So those are the basic components of a simple 555 00:35:03 --> 00:35:06 electrochemical cell. 556 00:35:06 --> 00:35:09 So, we could talk about the cell -- here's 557 00:35:09 --> 00:35:12 some nomenclature that represents the cell. 558 00:35:12 --> 00:35:18 So, the one that I just showed you, you have one electrode, a 559 00:35:18 --> 00:35:23 zinc solid, and we also have zinc plus 2 in solution. 560 00:35:23 --> 00:35:27 You have a single line between the solid and the zinc plus 561 00:35:27 --> 00:35:30 2 ions in solution, that indicates there's a phase 562 00:35:30 --> 00:35:34 boundary, so you're changing phase from solid to aqueous. 563 00:35:34 --> 00:35:38 Then if you see two little lines that tells you, okay, one 564 00:35:38 --> 00:35:41 part of the reaction's in one beaker, the other part is in 565 00:35:41 --> 00:35:44 the other beaker, that represents the salt bridge 566 00:35:44 --> 00:35:47 which separates out the two 1/2 reactions. 567 00:35:47 --> 00:35:50 And then on this side, we're going from copper 2 in 568 00:35:50 --> 00:35:54 solution, single line which indicates the phase boundary, 569 00:35:54 --> 00:35:59 to a copper solid over here. 570 00:35:59 --> 00:36:08 So the amount of charge that goes through the system, it 571 00:36:08 --> 00:36:12 depends -- and how much of the zinc that is consumed or the 572 00:36:12 --> 00:36:15 copper that is deposited, is proportional to that charge, 573 00:36:15 --> 00:36:18 the number of electrons that go through the system, and this 574 00:36:18 --> 00:36:23 is called Faraday's law. 575 00:36:23 --> 00:36:26 So let's look at what is happening a little bit here, so 576 00:36:26 --> 00:36:30 we have a little movie that shows the oxidation reaction. 577 00:36:30 --> 00:36:35 So in green is the electrode, and then here are the water 578 00:36:35 --> 00:36:38 molecules, and let's look at what happens when 579 00:36:38 --> 00:36:40 there's this oxidation. 580 00:36:40 --> 00:36:42 So here things are floating around, and there 581 00:36:42 --> 00:36:43 go the electrons. 582 00:36:43 --> 00:36:47 And this pops off into solutions, so if this is zinc, 583 00:36:47 --> 00:36:50 so then as this is happening, we have a zinc plus 2 584 00:36:50 --> 00:36:51 now, it's aqueous. 585 00:36:51 --> 00:36:54 There go electrons, we have our oxidation. 586 00:36:54 --> 00:36:57 Here comes off zinc plus 2 floating around, there's 587 00:36:57 --> 00:37:00 another zinc plus 2 that just came off. 588 00:37:00 --> 00:37:04 And so our electrode here is being consumed as 589 00:37:04 --> 00:37:06 this oxidation occurs. 590 00:37:06 --> 00:37:08 I think it's really cool, the electrons, you can see 591 00:37:08 --> 00:37:13 them as this green going along in this movie. 592 00:37:13 --> 00:37:18 So, this is a little thing to think about what's happening. 593 00:37:18 --> 00:37:21 So what's happening at the cathode, we have a reduction. 594 00:37:21 --> 00:37:24 So if we have our copper ions are going to plate 595 00:37:24 --> 00:37:25 onto our electrode. 596 00:37:25 --> 00:37:28 So here in blue is the electrode, and again the water 597 00:37:28 --> 00:37:32 molecules, here's a little copper 2 in solution. 598 00:37:32 --> 00:37:37 And when it gets electrons and gets reduced, it's going to 599 00:37:37 --> 00:37:40 start plating, so let's take a look at that. 600 00:37:40 --> 00:37:42 So, here's -- oh, there comes the electrons. 601 00:37:42 --> 00:37:45 And so now it becomes part of the electrode there, the 602 00:37:45 --> 00:37:49 electrons come in, and so you're building up, you're 603 00:37:49 --> 00:37:51 adding, your plating on to your electrode. 604 00:37:51 --> 00:37:55 Now it got its electrons, it got reduced, got reduced again, 605 00:37:55 --> 00:38:05 and it becomes solid, and plates onto the electrode. 606 00:38:05 --> 00:38:08 And we see the electrons coming in. 607 00:38:08 --> 00:38:11 So again, the amount of current that flows, the number of 608 00:38:11 --> 00:38:15 electrons that flow are going to be proportional to the 609 00:38:15 --> 00:38:18 chemistry that's happening at the two electrodes. 610 00:38:18 --> 00:38:22 So you can figure out how much zinc would be consumed, how 611 00:38:22 --> 00:38:25 much of the zinc solid electrode could be consumed, 612 00:38:25 --> 00:38:28 and how much copper would be deposited on the copper 613 00:38:28 --> 00:38:32 electrode for a particular amount of current. 614 00:38:32 --> 00:38:37 So say we have 1 amp of current for 1 hour, what are we 615 00:38:37 --> 00:38:39 going to do to our system? 616 00:38:39 --> 00:38:44 So we can calculate this out, so we use this equation to find 617 00:38:44 --> 00:38:47 out how much charge is going to pass through the system, we 618 00:38:47 --> 00:38:51 have this term q, the magnitude of charge and it's in Coulombs, 619 00:38:51 --> 00:38:56 those are our units, and that's equal to the current in amps, 620 00:38:56 --> 00:39:01 and just for unit conversion, amps are Coulombs per second, 621 00:39:01 --> 00:39:04 so that's very convenient because we're going to take 622 00:39:04 --> 00:39:07 the current and times second, so times time. 623 00:39:07 --> 00:39:12 And so if we work that out, we had 1 amp and we had 1 hour, so 624 00:39:12 --> 00:39:18 we're going to have 3 Coulombs that are our 625 00:39:18 --> 00:39:21 magnitude of our charge. 626 00:39:21 --> 00:39:25 So once we know that, we can convert, using Faraday's 627 00:39:25 --> 00:39:30 constant from charge into moles of electrons that had to pass 628 00:39:30 --> 00:39:33 through the system to generate that kind of current. 629 00:39:33 --> 00:39:37 And here is our friend Faraday's constant, and so 630 00:39:37 --> 00:39:39 that's in Coulombs per mole. 631 00:39:39 --> 00:39:43 And so, we can we can convert the number of Coulombs into the 632 00:39:43 --> 00:39:47 number of moles of electrons that were passed through the 633 00:39:47 --> 00:39:51 system with that amount of current, 1 amp for 1 hour. 634 00:39:51 --> 00:39:55 Now, how is this going to relate to the zinc consumed 635 00:39:55 --> 00:39:57 or the copper deposited? 636 00:39:57 --> 00:40:00 So we know the total number of moles that passed 637 00:40:00 --> 00:40:02 through the system. 638 00:40:02 --> 00:40:06 And so, then we have to think about for every 1 mole of zinc 639 00:40:06 --> 00:40:12 that was consumed, how many moles of electrons went 640 00:40:12 --> 00:40:13 through the system? 641 00:40:13 --> 00:40:18 So why don't you yell out and tell me what you think that is. 642 00:40:18 --> 00:40:20 What do you think? 643 00:40:20 --> 00:40:26 2, right. 644 00:40:26 --> 00:40:30 So we are going from zinc solid to zinc plus 2. 645 00:40:30 --> 00:40:35 So, we need to do -- to consume one, we need two electrons. 646 00:40:35 --> 00:40:42 So then we can look up the atomic weight of zinc and 647 00:40:42 --> 00:40:45 calculate the number of grams. 648 00:40:45 --> 00:40:49 We can do the same with copper. 649 00:40:49 --> 00:40:52 So for one mole of copper deposited, how many moles of 650 00:40:52 --> 00:41:02 electrons needed to pass through the system? two, right. 651 00:41:02 --> 00:41:06 And then we look up the atomic weight, which is very similar, 652 00:41:06 --> 00:41:09 and actually with significant figures, it's the same amount, 653 00:41:09 --> 00:41:13 which won't be true for most things. 654 00:41:13 --> 00:41:19 All right, so these problems are not too complicated. 655 00:41:19 --> 00:41:21 So let me just tell you a little bit more about types of 656 00:41:21 --> 00:41:24 electrodes that can be used. 657 00:41:24 --> 00:41:28 It's not always true that you have to use electrodes that are 658 00:41:28 --> 00:41:32 going to be consumed or have species deposited on them. 659 00:41:32 --> 00:41:37 You can use an inert electrode, such as a platinum electorate, 660 00:41:37 --> 00:41:39 and here is an example of that. 661 00:41:39 --> 00:41:44 So here, this cell has a platinum electrode, and the 662 00:41:44 --> 00:41:47 reaction that's happening, you have actually two things in 663 00:41:47 --> 00:41:50 solution instead of going from a solid to a solution. 664 00:41:50 --> 00:41:54 So this is just another example of a type of cell. 665 00:41:54 --> 00:41:57 So let's think about, then, what equations we would 666 00:41:57 --> 00:42:00 write for this chemistry and what's going on. 667 00:42:00 --> 00:42:03 So over here at the cathode, what happens at a cathode, 668 00:42:03 --> 00:42:11 oxidation or reduction? 669 00:42:11 --> 00:42:13 I'm hearing somewhat of a consensus. 670 00:42:13 --> 00:42:13 That's correct. 671 00:42:13 --> 00:42:14 Reduction. 672 00:42:14 --> 00:42:17 That's the thing you're going to need to memorize, it'll be 673 00:42:17 --> 00:42:20 important in doing problems later on. 674 00:42:20 --> 00:42:23 So, what is the reduction reaction that you imagine would 675 00:42:23 --> 00:42:31 be happening if you have copper plus 2 and copper solid? 676 00:42:31 --> 00:42:34 So, if you're reducing it, you're going to be reducing 677 00:42:34 --> 00:42:38 copper plus 2 with two electrons to copper solid. 678 00:42:38 --> 00:42:41 So, same reaction we saw before. 679 00:42:41 --> 00:42:42 So what about over here. 680 00:42:42 --> 00:42:46 This is the anode, which has the oxidation reaction going 681 00:42:46 --> 00:42:50 on, and what oxidation reaction can you imagine happening with 682 00:42:50 --> 00:42:53 chromium plus 3 and chromium plus 2. 683 00:42:53 --> 00:43:03 What's going to what? 684 00:43:03 --> 00:43:08 So, you're going from plus 2 to plus 3 with one electron here. 685 00:43:08 --> 00:43:11 So that would be the oxidation reaction. 686 00:43:11 --> 00:43:13 So let's think about how we would actually 687 00:43:13 --> 00:43:15 write this down then. 688 00:43:15 --> 00:43:18 So the notation for this type of cell, we're going to have a 689 00:43:18 --> 00:43:22 platinum that indicates the electrode, a single line that 690 00:43:22 --> 00:43:23 indicates a phase boundary. 691 00:43:23 --> 00:43:27 And in solution, you have the chromium plus 2, chromium plus 692 00:43:27 --> 00:43:30 3, those are both aqueous, so they have a comma between them. 693 00:43:30 --> 00:43:34 So this is on one side in one of the beakers, so that's 694 00:43:34 --> 00:43:37 the reaction at the anode. 695 00:43:37 --> 00:43:40 And then we have a bar here that indicates a salt bridge. 696 00:43:40 --> 00:43:44 And then in the other beaker, we would have the copper plus 2 697 00:43:44 --> 00:43:47 and the copper solid, separated by a single line, because 698 00:43:47 --> 00:43:49 there's a phase boundary between the aqueous 699 00:43:49 --> 00:43:50 and the solid. 700 00:43:50 --> 00:43:54 And then here are our two equations. 701 00:43:54 --> 00:43:57 At the anode, we have copper plus 2. 702 00:43:57 --> 00:44:01 Aqueous going to copper plus 3 aqueous in an electron 703 00:44:01 --> 00:44:02 at the cathode. 704 00:44:02 --> 00:44:04 We have copper plus 2 aqueous and two electrons 705 00:44:04 --> 00:44:06 going to copper solid. 706 00:44:06 --> 00:44:08 So those are our two equations and how we 707 00:44:08 --> 00:44:12 would write that down. 708 00:44:12 --> 00:44:16 Another example of an electrode is a hydrogen electrode. 709 00:44:16 --> 00:44:18 And this is very common. 710 00:44:18 --> 00:44:21 In fact, most potential standard reduction potentials, 711 00:44:21 --> 00:44:25 or as they're also known, oxidation reduction potentials 712 00:44:25 --> 00:44:29 are measured against a standard hydrogen electrode, and 713 00:44:29 --> 00:44:31 it'll be abbreviated s h e. 714 00:44:31 --> 00:44:34 And so, if you see it was measured against s h e, you 715 00:44:34 --> 00:44:36 will now know what that means. 716 00:44:36 --> 00:44:39 So that's a standard hydrogen electrode. 717 00:44:39 --> 00:44:41 So there's a couple of different variations. 718 00:44:41 --> 00:44:45 It can be used at the cathode or at the anode. 719 00:44:45 --> 00:44:49 And so, if you're using it at the cathode, h plus 720 00:44:49 --> 00:44:54 is reduced, and at the anode, h 2 is oxidized. 721 00:44:54 --> 00:44:58 And often you have a platinum system there as well, for the 722 00:44:58 --> 00:45:01 standard hydrogen, so platinum is commonly used in a 723 00:45:01 --> 00:45:04 standard hydrogen electrode. 724 00:45:04 --> 00:45:08 So, let's just sort of look at a little picture of this. 725 00:45:08 --> 00:45:11 So here, we may have like a glass cylinder here, 726 00:45:11 --> 00:45:13 we're pumping in h 2 gas. 727 00:45:13 --> 00:45:16 And here you can see it sort of bubbling down. 728 00:45:16 --> 00:45:20 We may have a solution of hydrochloric acid, which would 729 00:45:20 --> 00:45:23 have a lot of h plus in it, and so this would be a hydrogen 730 00:45:23 --> 00:45:27 electrode on one side, the other side may have something 731 00:45:27 --> 00:45:30 more common or something that we saw before with the zinc 732 00:45:30 --> 00:45:33 solid and the zinc in solution. 733 00:45:33 --> 00:45:37 So since on this side we have the cathode, of we can write 734 00:45:37 --> 00:45:44 about the h plus aqueous, a bar for the phase transition to h 2 735 00:45:44 --> 00:45:47 gas, and then we indicate that there's also a platinum 736 00:45:47 --> 00:45:49 electrode going on here. 737 00:45:49 --> 00:45:53 And the other side is what we saw before, the zinc solid 738 00:45:53 --> 00:45:54 and the zinc plus 2. 739 00:45:54 --> 00:45:56 So you're just introducing different types of electrodes 740 00:45:56 --> 00:46:00 that you may be seeing in this particular unit. 741 00:46:00 --> 00:46:02 And again, you want to remember what reaction's going on at the 742 00:46:02 --> 00:46:04 cathode, and at the anode. 743 00:46:04 --> 00:46:14 All right, so just very briefly, I will mention cell 744 00:46:14 --> 00:46:16 potential, which has many different names -- cell 745 00:46:16 --> 00:46:19 voltage, EMF it's often called. 746 00:46:19 --> 00:46:23 And so the flow of electrons generates a potential 747 00:46:23 --> 00:46:26 difference between the electrodes in the current. 748 00:46:26 --> 00:46:34 And this can be related back to our friend, delta g. 749 00:46:34 --> 00:46:39 So in this equation you have this potential difference 750 00:46:39 --> 00:46:45 that's generated by the flow of the electrons, and that times 751 00:46:45 --> 00:46:50 Faraday's constant times the number moles of electrons, and 752 00:46:50 --> 00:46:52 if you have a negative sign here, that's equal to the 753 00:46:52 --> 00:46:56 free energy of the cell. 754 00:46:56 --> 00:47:00 So we can relate that back. 755 00:47:00 --> 00:47:03 And a little bit of information. 756 00:47:03 --> 00:47:05 We have the standard terms as well. 757 00:47:05 --> 00:47:09 We can have the delta e nought, the cell potential, cell 758 00:47:09 --> 00:47:11 voltage, you'll see many names for this. 759 00:47:11 --> 00:47:14 And that's when the products and reactants are in 760 00:47:14 --> 00:47:15 their standard states. 761 00:47:15 --> 00:47:18 The units we're talking about here are in volts, sometimes 762 00:47:18 --> 00:47:22 you'll see things reported in millivolts as well. 763 00:47:22 --> 00:47:27 And let's end with one final clicker question, and then we 764 00:47:27 --> 00:48:11 can announce our clicker winner for today. 765 00:48:11 --> 00:48:18 OK, 10 seconds. 766 00:48:18 --> 00:48:21 Most people should get this right. 767 00:48:21 --> 00:48:27