1 00:00:00,000 --> 00:00:00,680 2 00:00:00,680 --> 00:00:04,169 Most everything that a chemist does involves mixing things 3 00:00:04,169 --> 00:00:06,960 together in some way, so I thought now would be a good 4 00:00:06,960 --> 00:00:10,490 time to introduce some terminology and some ideas 5 00:00:10,490 --> 00:00:11,740 involved with mixtures. 6 00:00:11,740 --> 00:00:14,820 7 00:00:14,820 --> 00:00:18,469 And in particular, I'll talk about homogenized or 8 00:00:18,469 --> 00:00:20,779 homogeneous mixtures. 9 00:00:20,780 --> 00:00:23,929 Homogenized implies that they were made homogeneous, but 10 00:00:23,929 --> 00:00:25,530 maybe they were homogeneous to begin with. 11 00:00:25,530 --> 00:00:32,020 So homogeneous mixtures, and you're probably asking what 12 00:00:32,020 --> 00:00:33,540 does homogeneous mean? 13 00:00:33,539 --> 00:00:37,509 It means uniform or consistent throughout, that there's not a 14 00:00:37,509 --> 00:00:39,869 lot of variation in the mixture itself. 15 00:00:39,869 --> 00:00:43,619 And the most common word or the example of this is 16 00:00:43,619 --> 00:00:45,140 homogenized milk. 17 00:00:45,140 --> 00:00:48,980 18 00:00:48,979 --> 00:00:54,629 I don't know if you've had the privilege of directly milking 19 00:00:54,630 --> 00:00:58,760 a cow or a goat, but you'll find very quickly that if you 20 00:00:58,759 --> 00:01:03,140 do, that the fat, the milk fat and the non-milk fat, 21 00:01:03,140 --> 00:01:04,400 separates very quickly. 22 00:01:04,400 --> 00:01:09,480 So if this is regular, straight-from-the-udder milk, 23 00:01:09,480 --> 00:01:11,990 you'll have a layer of fat that shows up there, and all 24 00:01:11,989 --> 00:01:14,719 of this stuff over here is much more liquidy. 25 00:01:14,719 --> 00:01:17,609 What homogenized milk does is it makes sure that all of this 26 00:01:17,609 --> 00:01:21,980 fat is dispersed completely evenly through the milk. 27 00:01:21,980 --> 00:01:25,590 So that's why, when you go to your local grocery store and 28 00:01:25,590 --> 00:01:29,450 you buy homogenized milk, it's all nice and creamy 29 00:01:29,450 --> 00:01:30,359 throughout. 30 00:01:30,359 --> 00:01:32,640 And you don't get this-- I guess some people actually 31 00:01:32,640 --> 00:01:35,189 like it, but you don't get this nice sheen 32 00:01:35,189 --> 00:01:36,739 of fat at the top. 33 00:01:36,739 --> 00:01:40,439 And it all goes down a little bit smoother. 34 00:01:40,439 --> 00:01:42,849 So that's what homogenized means. 35 00:01:42,849 --> 00:01:45,039 So a homogeneous mixture is the same thing: even and 36 00:01:45,040 --> 00:01:46,570 consistent throughout. 37 00:01:46,569 --> 00:01:52,079 Now, that is further divided, depending on how large the 38 00:01:52,079 --> 00:01:55,230 particles that are diluted in the mixture are. 39 00:01:55,230 --> 00:01:59,840 So if we have a situation where the particles are larger 40 00:01:59,840 --> 00:02:04,159 than 500 nanometers-- and that might sound large, but it 41 00:02:04,159 --> 00:02:07,950 still isn't that big, because a nanometer is one-billionth 42 00:02:07,950 --> 00:02:08,580 of a meter. 43 00:02:08,580 --> 00:02:12,469 But if we have particles mixed in, say, water-- but it 44 00:02:12,469 --> 00:02:14,430 doesn't have to be mixed in a fluid, or especially it 45 00:02:14,430 --> 00:02:17,300 doesn't have to be water-- that are greater than 500 46 00:02:17,300 --> 00:02:18,969 nanometers, we're dealing with a suspension. 47 00:02:18,969 --> 00:02:23,889 48 00:02:23,889 --> 00:02:26,929 And the one characteristic that people associate with a 49 00:02:26,930 --> 00:02:30,099 suspension is that whatever you suspend in it, whatever 50 00:02:30,099 --> 00:02:33,239 you mix in-- let's say I have a suspension here. 51 00:02:33,240 --> 00:02:36,189 Maybe it's water, just because it's easy for me to visualize. 52 00:02:36,189 --> 00:02:39,750 And I have some big particles here-- that they'll stay in 53 00:02:39,750 --> 00:02:42,849 the water for some amount of time, but eventually they'll 54 00:02:42,849 --> 00:02:45,269 deposit on the bottom of the container. 55 00:02:45,270 --> 00:02:47,070 Or sometimes, they'll actually float to the top. 56 00:02:47,069 --> 00:02:50,459 Depending on whether they're heavier or depending on their 57 00:02:50,460 --> 00:02:53,110 buoyancy, they'll either float to the top or the bottom. 58 00:02:53,110 --> 00:02:55,200 In order to get it back into the suspension state, you've 59 00:02:55,199 --> 00:02:56,339 got to shake the bottle. 60 00:02:56,340 --> 00:02:57,969 So two examples I can think of this. 61 00:02:57,969 --> 00:03:01,780 One is mixed paint, right? 62 00:03:01,780 --> 00:03:04,610 Before you paint your walls, you've got to make sure that 63 00:03:04,610 --> 00:03:06,410 the can is well shaken. 64 00:03:06,409 --> 00:03:09,069 Otherwise, you're going to get an inconsistent coat. 65 00:03:09,069 --> 00:03:12,180 The other, that's close to my heart, is chocolate milk. 66 00:03:12,180 --> 00:03:21,240 67 00:03:21,240 --> 00:03:24,469 Because when you mix it up, it's nice and it seems 68 00:03:24,469 --> 00:03:25,939 homogeneous, right? 69 00:03:25,939 --> 00:03:26,379 It's nice. 70 00:03:26,379 --> 00:03:27,650 And I already have milk here. 71 00:03:27,650 --> 00:03:31,539 So right at first when you stir it nice, you have all the 72 00:03:31,539 --> 00:03:34,789 little chocolate clumps in there, at least the chocolate 73 00:03:34,789 --> 00:03:36,959 when I make it is like that. 74 00:03:36,960 --> 00:03:39,469 But then if you let it sit around for a long time, 75 00:03:39,469 --> 00:03:41,389 eventually all the chocolate is going to collect at the 76 00:03:41,389 --> 00:03:42,639 bottom of the glass. 77 00:03:42,639 --> 00:03:45,049 78 00:03:45,050 --> 00:03:46,100 Actually, different parts of it. 79 00:03:46,099 --> 00:03:47,859 I've seen situations where the sugar all collects at the 80 00:03:47,860 --> 00:03:49,880 bottom and then you have these little clumps at the top. 81 00:03:49,879 --> 00:03:53,120 But you get the idea, that the mixture separates. 82 00:03:53,120 --> 00:03:55,150 And that's because the particles in either the paint 83 00:03:55,150 --> 00:03:58,240 or the chocolate milk are greater than 500 nanometers. 84 00:03:58,240 --> 00:04:00,500 Now, if we get to a range that's a little bit smaller 85 00:04:00,500 --> 00:04:04,740 than that, if we get to the situation where we're at 2 to 86 00:04:04,740 --> 00:04:10,520 500 nanometers, we're dealing with a colloid. 87 00:04:10,520 --> 00:04:14,920 That word, I remember in seventh grade, I think you 88 00:04:14,919 --> 00:04:17,250 learned it in science class: the colloid. 89 00:04:17,250 --> 00:04:22,769 And a friend and I, we thought it was a more appropriate word 90 00:04:22,769 --> 00:04:25,039 for some type of gastrointestinal problem. 91 00:04:25,040 --> 00:04:26,970 But it's not a gastrointestinal problem. 92 00:04:26,970 --> 00:04:29,060 It's a type of homogeneous mixture. 93 00:04:29,060 --> 00:04:31,310 And it's a homogeneous mixture where the particles are small 94 00:04:31,310 --> 00:04:34,500 enough that they stay suspended. 95 00:04:34,500 --> 00:04:36,860 So maybe they could call it a better suspension or a 96 00:04:36,860 --> 00:04:37,970 permanent suspension. 97 00:04:37,970 --> 00:04:43,260 So here the molecules are-- so let's say that's my mixture. 98 00:04:43,259 --> 00:04:44,659 So water, maybe it's water. 99 00:04:44,660 --> 00:04:45,780 It doesn't have to be water. 100 00:04:45,779 --> 00:04:47,679 It could be air or whatever. 101 00:04:47,680 --> 00:04:51,240 Now the molecules are small enough 102 00:04:51,240 --> 00:04:52,699 that they stay suspended. 103 00:04:52,699 --> 00:04:55,639 So the forces, either their buoyancy or the force-- 104 00:04:55,639 --> 00:04:58,629 actually, more important, the forces between the particles 105 00:04:58,629 --> 00:05:02,689 and the intermolecular forces kind of outweigh these 106 00:05:02,689 --> 00:05:04,920 particles' tendencies to want to exit the 107 00:05:04,920 --> 00:05:07,110 solution in either direction. 108 00:05:07,110 --> 00:05:11,189 And so common examples of these-- well, the one I always 109 00:05:11,189 --> 00:05:15,410 think of, for me, the colloid is Jell-O. 110 00:05:15,410 --> 00:05:19,689 Jell-O is the brand name, but gelatin is a colloid. 111 00:05:19,689 --> 00:05:25,410 The gelatin molecules stay suspended in the-- the gelatin 112 00:05:25,410 --> 00:05:29,720 powder stays suspended in the water that you add to it, and 113 00:05:29,720 --> 00:05:34,980 you can leave it in the fridge forever and it just won't ever 114 00:05:34,980 --> 00:05:36,800 deposit out of it. 115 00:05:36,800 --> 00:05:39,530 Other examples, fog. 116 00:05:39,529 --> 00:05:44,649 Fog, you have water molecules inside of an air mixture. 117 00:05:44,649 --> 00:05:45,899 And then you have smoke. 118 00:05:45,899 --> 00:05:48,859 119 00:05:48,860 --> 00:05:52,780 Fog and smoke, these are examples of aerosols. 120 00:05:52,779 --> 00:05:58,279 This is an aerosol where you have a liquid in the air. 121 00:05:58,279 --> 00:06:00,229 This is an aerosol where you have a solid in the air. 122 00:06:00,230 --> 00:06:04,240 Smoke just comes from little dark particles that are 123 00:06:04,240 --> 00:06:06,220 floating around in the air, and they'll never 124 00:06:06,220 --> 00:06:07,800 come out of the air. 125 00:06:07,800 --> 00:06:09,879 They're small enough that they'll always just float 126 00:06:09,879 --> 00:06:12,149 around with the air. 127 00:06:12,149 --> 00:06:16,319 Now, if you get below 2 nanometers-- maybe I should 128 00:06:16,319 --> 00:06:18,959 eliminate my homogenized milk. 129 00:06:18,959 --> 00:06:21,719 130 00:06:21,720 --> 00:06:25,590 If you get below 2 nanometers-- I'm trying to 131 00:06:25,589 --> 00:06:27,659 draw in black. 132 00:06:27,660 --> 00:06:31,460 If you're less than 2 nanometers, you're now in the 133 00:06:31,459 --> 00:06:32,709 realm of the solution. 134 00:06:32,709 --> 00:06:35,359 135 00:06:35,360 --> 00:06:37,660 And although this is very interesting in the everyday 136 00:06:37,660 --> 00:06:40,110 world, a lot of things that we-- and this is a fun thing 137 00:06:40,110 --> 00:06:42,560 to think about in your house, or when you encounter things, 138 00:06:42,560 --> 00:06:43,509 is this a suspension? 139 00:06:43,509 --> 00:06:45,740 Well, first, you should just think is it homogeneous? 140 00:06:45,740 --> 00:06:47,689 And then think is it a suspension? 141 00:06:47,689 --> 00:06:50,550 Is it eventually going to not be in the state it's in and 142 00:06:50,550 --> 00:06:51,449 then I'll have to shake it? 143 00:06:51,449 --> 00:06:54,370 Is it a colloid where it will stay in this kind of nice, 144 00:06:54,370 --> 00:06:57,519 thick state in the case of Jell-O or fog or smoke where 145 00:06:57,519 --> 00:06:59,000 it will really just stay in the state that 146 00:06:59,000 --> 00:06:59,660 it's already in? 147 00:06:59,660 --> 00:07:01,130 Or is it a solution? 148 00:07:01,129 --> 00:07:03,449 And solution is probably the most important in chemistry. 149 00:07:03,449 --> 00:07:07,000 Although people talk about colloids and suspensions, 99% 150 00:07:07,000 --> 00:07:08,149 of everything we'll talk about in 151 00:07:08,149 --> 00:07:10,239 chemistry involves solutions. 152 00:07:10,240 --> 00:07:12,199 And in general, it's an aqueous solution, when you 153 00:07:12,199 --> 00:07:13,269 stick something in water. 154 00:07:13,269 --> 00:07:14,839 So sometimes you'll see something like this. 155 00:07:14,839 --> 00:07:18,529 You'll see some compound x in a reaction and right next to 156 00:07:18,529 --> 00:07:20,579 it they'll write this aq. 157 00:07:20,579 --> 00:07:23,829 They mean that x is dissolved in water. 158 00:07:23,829 --> 00:07:29,199 It's a solute with water as the solvent. 159 00:07:29,199 --> 00:07:32,039 So actually, let me put that terminology here, just because 160 00:07:32,040 --> 00:07:33,700 I used it just now. 161 00:07:33,699 --> 00:07:36,120 So you have a solute. 162 00:07:36,120 --> 00:07:38,810 This is the thing that's usually whatever you have a 163 00:07:38,810 --> 00:07:41,415 smaller amount of, so thing dissolved. 164 00:07:41,415 --> 00:07:46,950 165 00:07:46,949 --> 00:07:48,199 And then you have the solvent. 166 00:07:48,199 --> 00:07:50,979 167 00:07:50,980 --> 00:07:52,620 This is often water or it's the thing 168 00:07:52,620 --> 00:07:53,889 that's in larger quantity. 169 00:07:53,889 --> 00:07:57,620 Or you can think of it as the thing that's all around or the 170 00:07:57,620 --> 00:07:58,870 thing that's doing the dissolving. 171 00:07:58,870 --> 00:08:05,350 172 00:08:05,350 --> 00:08:07,150 For example, you could have sodium 173 00:08:07,149 --> 00:08:09,459 chloride in aqueous solution. 174 00:08:09,459 --> 00:08:12,519 175 00:08:12,519 --> 00:08:13,689 That means it's in water. 176 00:08:13,689 --> 00:08:16,019 And what's happening is that the sodium and the chloride 177 00:08:16,019 --> 00:08:18,180 particles are dispersing. 178 00:08:18,180 --> 00:08:19,550 So sodium is positive. 179 00:08:19,550 --> 00:08:23,240 Chloride is negative, an ion, because it took away the atom 180 00:08:23,240 --> 00:08:23,930 from the sodium. 181 00:08:23,930 --> 00:08:25,939 But when you put it in the presence of water-- remember, 182 00:08:25,939 --> 00:08:29,980 water, you know, you have all the oxygen and the hydrogens. 183 00:08:29,980 --> 00:08:32,129 I've done this tons of times already. 184 00:08:32,129 --> 00:08:35,389 Oxygen and hydrogen. 185 00:08:35,389 --> 00:08:38,090 This is partially positive over here on this end. 186 00:08:38,090 --> 00:08:41,288 This is partially negative over here, so you'll have 187 00:08:41,288 --> 00:08:47,789 these larger-- the positive sodium cation will separate 188 00:08:47,789 --> 00:08:51,309 from the chloride and be attracted to the oxygen ends 189 00:08:51,309 --> 00:08:52,699 of the water. 190 00:08:52,700 --> 00:08:57,200 And then the chloride, the negative anion, will be 191 00:08:57,200 --> 00:08:59,990 attracted to the hydrogen ends of the water. 192 00:08:59,990 --> 00:09:01,690 That's what allows it to get dissolved. 193 00:09:01,690 --> 00:09:09,060 Because these ions have some charge, they like to mix in 194 00:09:09,059 --> 00:09:12,539 with the water, which has these hydrogens, or has this 195 00:09:12,539 --> 00:09:13,620 polarity to it. 196 00:09:13,620 --> 00:09:15,169 And see, the chlorine, I'll draw here. 197 00:09:15,169 --> 00:09:17,449 It will be over here with a minus charge. 198 00:09:17,450 --> 00:09:20,060 199 00:09:20,059 --> 00:09:21,709 So this is probably the single most 200 00:09:21,710 --> 00:09:22,670 important thing to realize. 201 00:09:22,669 --> 00:09:25,679 And just so you get a sense of what 2 nanometers is, this is 202 00:09:25,679 --> 00:09:26,479 still pretty big. 203 00:09:26,480 --> 00:09:30,710 It allows for molecules that have anywhere from-- actually, 204 00:09:30,710 --> 00:09:34,120 a good number of atoms. If you think of even a fairly large 205 00:09:34,120 --> 00:09:38,269 atom, cesium, the cesium atom, which is one of the largest-- 206 00:09:38,269 --> 00:09:40,039 at least one of the largest that you might encounter, 207 00:09:40,039 --> 00:09:46,490 there are larger-- is on the order of 2.6 angstroms. An 208 00:09:46,490 --> 00:09:51,539 angstrom is a tenth of a nanometer, so that's 0.26 209 00:09:51,539 --> 00:09:52,559 nanometers. 210 00:09:52,559 --> 00:09:55,879 So, for example, if you wanted a molecule that would get you 211 00:09:55,879 --> 00:09:59,220 out of the solution state and into the colloid, and we're 212 00:09:59,220 --> 00:10:00,325 talking in three dimensions here. 213 00:10:00,325 --> 00:10:02,220 So in three dimensions you could actually fit a lot of 214 00:10:02,220 --> 00:10:07,860 cesium atoms within a 2-nanometer diameter sphere. 215 00:10:07,860 --> 00:10:09,889 Cesium doesn't bond in that way, but I think you get the 216 00:10:09,889 --> 00:10:13,080 idea that this is a scale of, you know, on the order of 20 217 00:10:13,080 --> 00:10:14,950 to 30 atoms can be in this molecule. 218 00:10:14,950 --> 00:10:16,950 Actually, even more than that, especially if you have very 219 00:10:16,950 --> 00:10:19,950 small atoms like hydrogen. 220 00:10:19,950 --> 00:10:23,160 So the next question is how do you measure these things? 221 00:10:23,159 --> 00:10:26,689 And there's a lot of different ways to measure concentration. 222 00:10:26,690 --> 00:10:28,750 We already actually used one of them, 223 00:10:28,750 --> 00:10:30,000 which is mole fraction. 224 00:10:30,000 --> 00:10:39,059 225 00:10:39,059 --> 00:10:47,299 And this is the number of moles of solute divided by the 226 00:10:47,299 --> 00:10:53,669 number of moles in the whole solution, or moles of solute 227 00:10:53,669 --> 00:10:58,649 plus moles of solvent. 228 00:10:58,649 --> 00:11:00,500 And we did this when we figured out the partial 229 00:11:00,500 --> 00:11:03,190 pressure problems. Because in order to figure out the 230 00:11:03,190 --> 00:11:05,830 partial pressure of something, you just figured out what the 231 00:11:05,830 --> 00:11:07,759 total pressure is, and then you said what is the mole 232 00:11:07,759 --> 00:11:09,689 fraction of, say, oxygen in the mixture? 233 00:11:09,690 --> 00:11:13,280 And then you multiply that times the partial pressure and 234 00:11:13,279 --> 00:11:14,860 you got the mole fraction. 235 00:11:14,860 --> 00:11:17,950 Now, the ones that show up a lot in chemistry-- and since 236 00:11:17,950 --> 00:11:21,350 their words are so similar can get a little confusing-- are 237 00:11:21,350 --> 00:11:28,320 molarity, not to be confused with morality. 238 00:11:28,320 --> 00:11:31,780 One day I'll make a video on that once I figure out enough 239 00:11:31,779 --> 00:11:33,399 about it-- and molality. 240 00:11:33,399 --> 00:11:37,250 241 00:11:37,250 --> 00:11:40,090 And molarity, it sounds like the right one because it's 242 00:11:40,090 --> 00:11:43,180 almost like morality and it has the word molar in it, 243 00:11:43,179 --> 00:11:47,689 which is for me more intuitive than the word molal. 244 00:11:47,690 --> 00:11:51,080 But molarity in my mind is not a good measure because it's 245 00:11:51,080 --> 00:12:02,129 moles of solute, so what you're dissolving into it, 246 00:12:02,129 --> 00:12:06,570 divided by liters of solution. 247 00:12:06,570 --> 00:12:09,000 And the reason why I don't like molarity much-- and 248 00:12:09,000 --> 00:12:11,750 you'll see that molality is actually, at least in my 249 00:12:11,750 --> 00:12:12,809 opinion, more useful. 250 00:12:12,809 --> 00:12:14,789 But the reason why I don't like this is because liters of 251 00:12:14,789 --> 00:12:16,599 solution is not invariant. 252 00:12:16,600 --> 00:12:17,700 It changes, right? 253 00:12:17,700 --> 00:12:18,680 We've learned that a bunch. 254 00:12:18,679 --> 00:12:20,639 You know, pV equals nRT. 255 00:12:20,639 --> 00:12:24,830 The volume-- which liters is a measure of-- volume can vary 256 00:12:24,830 --> 00:12:26,410 with pressure and temperature. 257 00:12:26,409 --> 00:12:28,649 So the molarity is going to vary with pressure and 258 00:12:28,649 --> 00:12:30,569 temperature for the same solution. 259 00:12:30,570 --> 00:12:33,145 If you just take the same solution and take it to Denver 260 00:12:33,144 --> 00:12:36,659 or take it to Death Valley, the molarity of the solution 261 00:12:36,659 --> 00:12:37,329 is going to change. 262 00:12:37,330 --> 00:12:41,300 So, to me, that isn't that satisfying of a measure of 263 00:12:41,299 --> 00:12:42,469 concentration. 264 00:12:42,470 --> 00:12:45,139 Molality, on the other hand, is moles of solute. 265 00:12:45,139 --> 00:12:48,460 266 00:12:48,460 --> 00:12:52,290 So the numerator in both cases is essentially the number of 267 00:12:52,289 --> 00:12:56,269 solute particles we have-- the number of particles we have 268 00:12:56,269 --> 00:13:02,769 divided by the mass of the solvent, or the kilograms of 269 00:13:02,769 --> 00:13:05,139 whatever we're being dissolved into. 270 00:13:05,139 --> 00:13:07,610 And the reason why this one is better is because no matter 271 00:13:07,610 --> 00:13:10,629 where you go, whether you're in Denver or Death Valley, 272 00:13:10,629 --> 00:13:12,009 moles aren't going to change. 273 00:13:12,009 --> 00:13:13,340 They didn't change here either. 274 00:13:13,340 --> 00:13:14,870 And the mass won't change. 275 00:13:14,870 --> 00:13:17,629 Now, the pressure and the volume and the temperature 276 00:13:17,629 --> 00:13:19,929 might change, but the mass won't change unless you're 277 00:13:19,929 --> 00:13:21,669 adding more or less solvent. 278 00:13:21,669 --> 00:13:24,599 So this, in my mind, is kind of the better one. 279 00:13:24,600 --> 00:13:27,680 And actually, I'll put a little contest on this video, 280 00:13:27,679 --> 00:13:30,059 if you all can think of good ways to remember the 281 00:13:30,059 --> 00:13:33,359 difference between molality and molarity. 282 00:13:33,360 --> 00:13:34,649 Because, frankly, I think this is one of the 283 00:13:34,649 --> 00:13:36,289 most-- it's not confusing. 284 00:13:36,289 --> 00:13:37,679 They're very simple definitions. 285 00:13:37,679 --> 00:13:40,659 But I think a lot of people get confused, especially a 286 00:13:40,659 --> 00:13:42,339 year or two out of taking chemistry class. 287 00:13:42,340 --> 00:13:43,610 If someone says, oh, what's the difference between 288 00:13:43,610 --> 00:13:44,810 molality and molarity? 289 00:13:44,809 --> 00:13:47,679 You're like, oh, there was a difference with volume and 290 00:13:47,679 --> 00:13:49,259 mass, but I forget which is which. 291 00:13:49,259 --> 00:13:52,399 And I'll leave it up to you guys to think of a good way to 292 00:13:52,399 --> 00:13:54,939 memorize the difference between the two. 293 00:13:54,940 --> 00:13:56,750 See you in the next video.