1 00:00:00,600 --> 00:00:05,160 We're told that glucose reacts with oxygen to give carbon 2 00:00:05,160 --> 00:00:07,240 dioxide and water. 3 00:00:07,240 --> 00:00:11,190 What mass of oxygen, in grams, is required to complete the 4 00:00:11,190 --> 00:00:15,950 reaction of 25 grams of glucose? 5 00:00:15,950 --> 00:00:18,990 And they also want to know what masses of carbon dioxide 6 00:00:18,990 --> 00:00:20,405 and water are formed? 7 00:00:20,405 --> 00:00:23,160 Well let's first just write the reaction. 8 00:00:23,160 --> 00:00:27,540 So they're saying glucose reacts with oxygen to give 9 00:00:27,540 --> 00:00:30,030 carbon dioxide and water. 10 00:00:30,030 --> 00:00:41,560 So glucose, C6H12O6, reacts with oxygen in its molecular 11 00:00:41,560 --> 00:00:43,595 form-- there's two atoms there. 12 00:00:43,595 --> 00:00:46,630 13 00:00:46,630 --> 00:00:51,135 The products are carbon dioxide and water. 14 00:00:51,135 --> 00:00:54,200 15 00:00:54,200 --> 00:00:56,450 And you might already recognize this. 16 00:00:56,450 --> 00:00:58,250 This is a stoichiometry problem. 17 00:00:58,250 --> 00:01:01,260 They're saying, hey, we have 25 grams of glucose. 18 00:01:01,260 --> 00:01:03,370 How much oxygen is required to completely 19 00:01:03,370 --> 00:01:04,780 react with that glucose? 20 00:01:04,780 --> 00:01:07,630 And then how much carbon dioxide and how much water is 21 00:01:07,630 --> 00:01:09,850 going to be produced in grams? 22 00:01:09,850 --> 00:01:12,720 That's what stoichiometry problems are all about. 23 00:01:12,720 --> 00:01:16,250 And if you remember from the last video, the first thing 24 00:01:16,250 --> 00:01:18,210 you should always do is make sure that 25 00:01:18,210 --> 00:01:19,550 your equation is balanced. 26 00:01:19,550 --> 00:01:21,600 So let's make sure it's balanced. 27 00:01:21,600 --> 00:01:24,960 On the left hand side-- and you always want to do the most 28 00:01:24,960 --> 00:01:27,830 complicated molecules first, and then do the simplest 29 00:01:27,830 --> 00:01:30,550 molecules last, because those are the easiest ones to 30 00:01:30,550 --> 00:01:32,010 balance out. 31 00:01:32,010 --> 00:01:37,010 So on the left hand side, here, I have a 6 carbons. 32 00:01:37,010 --> 00:01:38,490 On the entire left hand side. 33 00:01:38,490 --> 00:01:41,050 On the right hand side, I only have 1 carbon. 34 00:01:41,050 --> 00:01:45,110 So let me multiply this over here by 6. 35 00:01:45,110 --> 00:01:49,380 And now I have 6 carbons on both sides of this equation. 36 00:01:49,380 --> 00:01:50,490 Let's move to the hydrogens. 37 00:01:50,490 --> 00:01:52,880 I have 12 hydrogens on the left hand 38 00:01:52,880 --> 00:01:54,060 side of this equation. 39 00:01:54,060 --> 00:01:56,740 The 12 are all sitting right there in the glucose. 40 00:01:56,740 --> 00:01:58,850 How many do I have on the right hand side? 41 00:01:58,850 --> 00:02:00,910 Well I only have 2 hydrogens. 42 00:02:00,910 --> 00:02:04,120 So let me multiply that times 6. 43 00:02:04,120 --> 00:02:06,210 And I didn't mess with the carbons at all, so that 44 00:02:06,210 --> 00:02:09,650 shouldn't change anything-- so now I have 12 hydrogens on 45 00:02:09,650 --> 00:02:10,759 both sides of this equation. 46 00:02:10,759 --> 00:02:12,850 12 here, 12 there. 47 00:02:12,850 --> 00:02:14,690 And now I can just balance out the oxygen. 48 00:02:14,690 --> 00:02:17,030 I saved that for last because I just have the oxygen 49 00:02:17,030 --> 00:02:17,650 molecule here. 50 00:02:17,650 --> 00:02:19,450 That's the easiest one to balance. 51 00:02:19,450 --> 00:02:21,470 So how may oxygens do I have on the right hand side? 52 00:02:21,470 --> 00:02:23,380 I have 6 times 2 here. 53 00:02:23,380 --> 00:02:25,760 I have 12 oxygens there. 54 00:02:25,760 --> 00:02:28,660 And then I have another 6 oxygens over here. 55 00:02:28,660 --> 00:02:30,600 So plus 6 oxygens. 56 00:02:30,600 --> 00:02:35,310 I have 18 oxygens on the right hand side of my equation. 57 00:02:35,310 --> 00:02:37,400 So I need to have 18 oxygens on the left 58 00:02:37,400 --> 00:02:38,870 hand side of my equation. 59 00:02:38,870 --> 00:02:40,660 How many do I have right now? 60 00:02:40,660 --> 00:02:45,500 I have 6 oxygens over here. 61 00:02:45,500 --> 00:02:47,800 So I'm going to need 12 over here. 62 00:02:47,800 --> 00:02:47,990 Right? 63 00:02:47,990 --> 00:02:49,460 This is the last thing I want to mess with. 64 00:02:49,460 --> 00:02:51,790 I don't want to put a coefficient out here. 65 00:02:51,790 --> 00:02:53,320 That'll change everything else. 66 00:02:53,320 --> 00:02:54,630 I just want to put a coefficient here. 67 00:02:54,630 --> 00:02:56,610 That'll make everything balance out. 68 00:02:56,610 --> 00:02:58,450 I have 18 on the right hand side. 69 00:02:58,450 --> 00:03:00,440 I already have 6 here. 70 00:03:00,440 --> 00:03:02,580 I want to have 12 right here. 71 00:03:02,580 --> 00:03:05,150 So let me multiply this times 6. 72 00:03:05,150 --> 00:03:06,470 And now everything should work out. 73 00:03:06,470 --> 00:03:08,580 I have 6 carbons on both sides. 74 00:03:08,580 --> 00:03:11,640 I have 12 hydrogens on both sides. 75 00:03:11,640 --> 00:03:13,980 And I have 18 oxygens. 76 00:03:13,980 --> 00:03:16,100 Six here, 12 here. 77 00:03:16,100 --> 00:03:17,170 12 here, 6 here. 78 00:03:17,170 --> 00:03:20,870 I have 18 oxygens on both sides of this equation. 79 00:03:20,870 --> 00:03:23,260 Now, the next thing we're going to want to do is figure 80 00:03:23,260 --> 00:03:26,290 out how many moles of the reactants that they're telling 81 00:03:26,290 --> 00:03:29,150 us about that we have. So they're telling us that we 82 00:03:29,150 --> 00:03:37,040 have 25.0 grams of glucose. 83 00:03:37,040 --> 00:03:40,780 So let's figure out how many moles per gram, or how many 84 00:03:40,780 --> 00:03:43,690 grams per mole, there are of a glucose molecule. 85 00:03:43,690 --> 00:03:45,440 And since everything here is dealing with carbons, and 86 00:03:45,440 --> 00:03:49,120 oxygens, and hydrogens, let's look up the atomic weights of 87 00:03:49,120 --> 00:03:50,570 all of them. 88 00:03:50,570 --> 00:03:53,750 So carbons, hydrogens, and oxygens are pretty common. 89 00:03:53,750 --> 00:03:55,280 So at some point you might want to memorize 90 00:03:55,280 --> 00:03:56,050 their atomic weights. 91 00:03:56,050 --> 00:04:00,230 And I want to give proper credit to the person whose 92 00:04:00,230 --> 00:04:01,790 periodic table I'm using. 93 00:04:01,790 --> 00:04:03,310 Le Van Han Cedric. 94 00:04:03,310 --> 00:04:05,030 I got this off of Wikimedia. 95 00:04:05,030 --> 00:04:07,020 It's a creative commons attribution license. 96 00:04:07,020 --> 00:04:09,330 So I want to make sure I attribute the person who made 97 00:04:09,330 --> 00:04:11,330 the periodic table. 98 00:04:11,330 --> 00:04:12,690 But we have oxygen. 99 00:04:12,690 --> 00:04:17,970 It has an atomic weight of 15.9999. 100 00:04:17,970 --> 00:04:20,769 Usually it's given as 16. 101 00:04:20,769 --> 00:04:21,990 But I'll just write it like that. 102 00:04:21,990 --> 00:04:28,493 So oxygen is 15.999. 103 00:04:28,493 --> 00:04:30,020 And we're going to have to figure 104 00:04:30,020 --> 00:04:32,810 out carbon, and hydrogen. 105 00:04:32,810 --> 00:04:36,190 106 00:04:36,190 --> 00:04:38,760 Let's go back to the periodic table. 107 00:04:38,760 --> 00:04:45,960 We have carbon, has an atomic weight of 12.011. 108 00:04:45,960 --> 00:04:50,186 And hydrogen is 1.0079. 109 00:04:50,186 --> 00:04:55,330 So let's do the carbon, 12.011. 110 00:04:55,330 --> 00:04:59,350 So the carbon is 12.011. 111 00:04:59,350 --> 00:05:02,900 And then the hydrogen-- remember atomic weights are 112 00:05:02,900 --> 00:05:05,380 all the weighted average of all of the isotopes 113 00:05:05,380 --> 00:05:10,050 on earth-- is 1.0079. 114 00:05:10,050 --> 00:05:14,180 1.00-- what was it? 115 00:05:14,180 --> 00:05:15,380 Was it one zero or two zeroes? 116 00:05:15,380 --> 00:05:17,060 It was two zeroes. 117 00:05:17,060 --> 00:05:20,560 1.0079. 118 00:05:20,560 --> 00:05:26,110 So what's the atomic weight of glucose, given all of that? 119 00:05:26,110 --> 00:05:28,230 So what's the atomic weight of glucose? 120 00:05:28,230 --> 00:05:30,500 Let me scroll down a little bit. 121 00:05:30,500 --> 00:05:37,710 So the atomic weight of glucose, C6H12O6, it's going 122 00:05:37,710 --> 00:05:42,580 to be equal to 12.011 times 6. 123 00:05:42,580 --> 00:05:46,110 6 times 12.011. 124 00:05:46,110 --> 00:05:48,900 Plus 12 times hydrogen. 125 00:05:48,900 --> 00:05:50,900 Just to keep things simple, actually, let me just make 126 00:05:50,900 --> 00:05:53,360 this into 16. 127 00:05:53,360 --> 00:05:56,630 let me make this into 12, and let me make this into 1. 128 00:05:56,630 --> 00:05:59,110 That's going to make our math a lot easier. 129 00:05:59,110 --> 00:06:01,710 So let me just do it like that. 130 00:06:01,710 --> 00:06:04,520 Let me clear this. 131 00:06:04,520 --> 00:06:10,570 So the atomic weight of glucose is 6 times the atomic 132 00:06:10,570 --> 00:06:11,770 weight of carbon. 133 00:06:11,770 --> 00:06:13,960 Six times 12. 134 00:06:13,960 --> 00:06:15,450 Six times 12. 135 00:06:15,450 --> 00:06:17,720 Plus 12 times the atomic weight of hydrogen. 136 00:06:17,720 --> 00:06:22,380 Plus one times 12, or maybe I have to write 12 times one, 137 00:06:22,380 --> 00:06:23,840 just to be consistent. 138 00:06:23,840 --> 00:06:25,100 12 times one. 139 00:06:25,100 --> 00:06:29,320 Plus 6 times the atomic weight of oxygen. 140 00:06:29,320 --> 00:06:31,320 Plus 6 times 16. 141 00:06:31,320 --> 00:06:31,930 So what is this? 142 00:06:31,930 --> 00:06:35,830 This is equal to 72 plus 12. 143 00:06:35,830 --> 00:06:41,870 Plus, 6 times 16 is 60 plus 36. 144 00:06:41,870 --> 00:06:45,490 It's 96. 145 00:06:45,490 --> 00:06:50,020 And that is-- I'll get the calculator out-- 72. 146 00:06:50,020 --> 00:06:58,530 Plus 12, plus 96, is equal to 180. 147 00:06:58,530 --> 00:07:03,870 So the atomic weight of glucose is equal to 180. 148 00:07:03,870 --> 00:07:08,940 Which tells us, that let me start doing the problem. 149 00:07:08,940 --> 00:07:13,790 We have 25.0 grams of glucose. 150 00:07:13,790 --> 00:07:19,780 So I'll just write grams of C6H12O6. 151 00:07:19,780 --> 00:07:23,490 We want to write this in terms of moles of glucose. 152 00:07:23,490 --> 00:07:28,410 So we want to cancel out the grams. So we want the grams in 153 00:07:28,410 --> 00:07:29,640 the denominator. 154 00:07:29,640 --> 00:07:29,890 Right? 155 00:07:29,890 --> 00:07:30,730 Here it's in the numerator. 156 00:07:30,730 --> 00:07:34,750 If we divide by that unit, we're going to cancel it out. 157 00:07:34,750 --> 00:07:42,390 So we want the grams of C6H12O6, or the grams of 158 00:07:42,390 --> 00:07:43,730 glucose in the denomenator. 159 00:07:43,730 --> 00:07:50,180 And we want the moles of glucose in the numerator. 160 00:07:50,180 --> 00:07:54,520 Because then when we perform this calculation, that will 161 00:07:54,520 --> 00:07:57,270 cancel with that, and we will be left with moles. 162 00:07:57,270 --> 00:07:59,070 So how many grams per mole? 163 00:07:59,070 --> 00:08:00,290 Well why don't we just figure it out? 164 00:08:00,290 --> 00:08:02,800 The atomic weight is a 180. 165 00:08:02,800 --> 00:08:03,970 So it's 180. 166 00:08:03,970 --> 00:08:08,870 If we have Avagadro's number of these molecules, it's going 167 00:08:08,870 --> 00:08:15,140 to have a mass, I should say, of 180 grams per mole. 168 00:08:15,140 --> 00:08:19,150 That's the information we got by figuring out glucose's 169 00:08:19,150 --> 00:08:19,900 atomic weight. 170 00:08:19,900 --> 00:08:22,010 So let's just perform this calculation. 171 00:08:22,010 --> 00:08:26,220 These units cancel out with those units. 172 00:08:26,220 --> 00:08:29,940 And so we just take 25 times one, divided by 180. 173 00:08:29,940 --> 00:08:34,018 So this is equal to 25 over 180. 174 00:08:34,018 --> 00:08:35,950 And all were left with in units is 175 00:08:35,950 --> 00:08:42,806 moles C6H12O6, or glucose. 176 00:08:42,806 --> 00:08:46,330 And what is 25 five divided by 180? 177 00:08:46,330 --> 00:08:49,820 I should say 25.0 just so we know that we have three 178 00:08:49,820 --> 00:08:52,840 significant digits here. 179 00:08:52,840 --> 00:08:54,960 And I don't want to be too particular 180 00:08:54,960 --> 00:08:55,870 about significant digits. 181 00:08:55,870 --> 00:08:58,080 Sometimes I'm a little bit loosey goosey about it. 182 00:08:58,080 --> 00:09:00,370 And I was already loosey goosey about the topic weight. 183 00:09:00,370 --> 00:09:02,160 But we'll try to be someplace in the ballpark. 184 00:09:02,160 --> 00:09:12,420 So 25 divided by 180 is equal to 0.139. 185 00:09:12,420 --> 00:09:20,060 So we have 0.139 moles of-- I'm tired of writing, I'm just 186 00:09:20,060 --> 00:09:23,100 going to write-- moles of glucose. 187 00:09:23,100 --> 00:09:28,180 Now, we want to figure out how many moles of oxygen-- or, 188 00:09:28,180 --> 00:09:31,160 well, the first step we want to figure out is for every 189 00:09:31,160 --> 00:09:34,150 mole of glucose, how many moles on oxygen? 190 00:09:34,150 --> 00:09:34,860 And we know that. 191 00:09:34,860 --> 00:09:36,400 It's 1 to 6. 192 00:09:36,400 --> 00:09:37,660 So let's write that down. 193 00:09:37,660 --> 00:09:40,216 And that's going to tell us how many moles of oxygen we're 194 00:09:40,216 --> 00:09:41,060 going to need. 195 00:09:41,060 --> 00:09:43,810 And, remember, we want to get rid of these moles of glucose. 196 00:09:43,810 --> 00:09:45,565 So we want to write that in the denominator. 197 00:09:45,565 --> 00:09:49,870 198 00:09:49,870 --> 00:09:56,490 So moles of glucose required. 199 00:09:56,490 --> 00:10:00,600 For every 1 mole of glucose required, we figured out when 200 00:10:00,600 --> 00:10:03,680 we balanced out the equation, for every mole of glucose, we 201 00:10:03,680 --> 00:10:06,510 need 6 moles of oxygen. 202 00:10:06,510 --> 00:10:13,060 We need 6 moles of O2 required. 203 00:10:13,060 --> 00:10:16,360 And then what do we get here? 204 00:10:16,360 --> 00:10:20,190 Well we have the moles of glucose canceling out with the 205 00:10:20,190 --> 00:10:21,750 moles of glucose. 206 00:10:21,750 --> 00:10:26,180 And then we multiply the 6 times 0.139. 207 00:10:26,180 --> 00:10:32,850 So let's just multiply this times 6 is equal to 0.833. 208 00:10:32,850 --> 00:10:38,770 So we need 0-- that's too fat-- 0.833 209 00:10:38,770 --> 00:10:43,330 moles of oxygen required. 210 00:10:43,330 --> 00:10:47,720 Now, we're almost there, we know how many moles of oxygen 211 00:10:47,720 --> 00:10:49,610 are required, molecular oxygen. 212 00:10:49,610 --> 00:10:52,130 Now we just have to figure out how many grams that is. 213 00:10:52,130 --> 00:10:53,820 So let me just write it over here. 214 00:10:53,820 --> 00:11:01,850 We have 0.833 moles of molecular oxygen are required. 215 00:11:01,850 --> 00:11:04,010 We're going to multiply that. 216 00:11:04,010 --> 00:11:07,470 Remember, we want to get this into grams now. 217 00:11:07,470 --> 00:11:10,570 So let's try the moles of O2 in the denomenator. 218 00:11:10,570 --> 00:11:13,350 219 00:11:13,350 --> 00:11:17,090 And we're going to put grams of O2 in the numerator. 220 00:11:17,090 --> 00:11:21,300 So how many grams of O2 are there per mole? 221 00:11:21,300 --> 00:11:24,980 Well, we know the atomic weight oxygen is 16. 222 00:11:24,980 --> 00:11:27,460 So the atomic weight of molecular oxygen, where you 223 00:11:27,460 --> 00:11:33,520 have two of these, is equal to 16 times two. 224 00:11:33,520 --> 00:11:36,400 Which is equal to 32. 225 00:11:36,400 --> 00:11:42,640 So it's 32 grams per mole. 226 00:11:42,640 --> 00:11:46,400 So when we perform the calculation, the moles of O2 227 00:11:46,400 --> 00:11:48,950 in the numerator cancel out with moles of O2 in the 228 00:11:48,950 --> 00:11:49,680 denomenator. 229 00:11:49,680 --> 00:11:59,750 And we're just going to have 0.833 times 32 is equal to 230 00:11:59,750 --> 00:12:02,940 26-- I'll just say, seven. 231 00:12:02,940 --> 00:12:09,570 So this is equal to 26.7 grams of O2 required. 232 00:12:09,570 --> 00:12:13,650 Grams of O2, and I'll write required in 233 00:12:13,650 --> 00:12:15,650 that same exact collar. 234 00:12:15,650 --> 00:12:17,940 So we finished one part of the question. 235 00:12:17,940 --> 00:12:20,830 We have two more parts left. 236 00:12:20,830 --> 00:12:25,180 If we go back to the problem, it asks us, we already figured 237 00:12:25,180 --> 00:12:27,680 out, what mass of oxygen is required for 238 00:12:27,680 --> 00:12:28,470 the complete reaction? 239 00:12:28,470 --> 00:12:31,500 We did that part, so we can write a little check there. 240 00:12:31,500 --> 00:12:32,500 We did that first part. 241 00:12:32,500 --> 00:12:36,690 But they also ask, what masses of carbon dioxide and water 242 00:12:36,690 --> 00:12:37,490 are formed? 243 00:12:37,490 --> 00:12:41,410 So now we need to figure out carbon dioxide and water. 244 00:12:41,410 --> 00:12:43,800 And so we go back here. 245 00:12:43,800 --> 00:12:47,930 We know we have 0.139 moles of glucose. 246 00:12:47,930 --> 00:12:50,550 We figured that out in the first part. 247 00:12:50,550 --> 00:12:58,350 So 0.139 moles of glucose. 248 00:12:58,350 --> 00:13:05,140 And let's do the carbon dioxide first. We know for 249 00:13:05,140 --> 00:13:09,940 every mole of glucose, we're going to produce 6 moles of 250 00:13:09,940 --> 00:13:10,770 carbon dioxide. 251 00:13:10,770 --> 00:13:11,670 We see that right there. 252 00:13:11,670 --> 00:13:13,560 There's a one out here implicitly. 253 00:13:13,560 --> 00:13:17,380 So for every mole of glucose, you're going to produce 6 254 00:13:17,380 --> 00:13:19,290 moles of carbon dioxide. 255 00:13:19,290 --> 00:13:21,130 So let's write that. 256 00:13:21,130 --> 00:13:29,040 So for every one mole of glucose, you're going to have 257 00:13:29,040 --> 00:13:34,660 6 moles of CO2 produced. 258 00:13:34,660 --> 00:13:36,780 We just got that directly from the equation. 259 00:13:36,780 --> 00:13:39,710 And I wrote it this way, instead of one over the 6, 260 00:13:39,710 --> 00:13:41,980 because I wanted it to cancel out with the moles of glucose. 261 00:13:41,980 --> 00:13:45,050 Moles of glucose in the numerator, moles of glucose in 262 00:13:45,050 --> 00:13:46,920 the denominator. 263 00:13:46,920 --> 00:13:48,870 So that canceled out with that. 264 00:13:48,870 --> 00:13:55,960 And this is going to be equal to 6 times 0.139 265 00:13:55,960 --> 00:14:01,840 moles of CO2 produced. 266 00:14:01,840 --> 00:14:04,810 267 00:14:04,810 --> 00:14:05,710 And we know what that is. 268 00:14:05,710 --> 00:14:09,040 We already multiplied 6 times 0.139 before. 269 00:14:09,040 --> 00:14:17,300 This is going to be equal to 0.833 moles of CO2 produced. 270 00:14:17,300 --> 00:14:19,790 We've already done that calculation. 271 00:14:19,790 --> 00:14:22,960 And actually we could even-- well, I won't skip too many 272 00:14:22,960 --> 00:14:29,120 steps-- but we see over here, for every one mole of glucose, 273 00:14:29,120 --> 00:14:32,890 6 moles of this, 6 moles of this, and 6 moles of that. 274 00:14:32,890 --> 00:14:38,850 So that's why we had the 0.833 moles of oxygen. 275 00:14:38,850 --> 00:14:43,570 And we're also getting the 0.833 moles of carbon dioxide. 276 00:14:43,570 --> 00:14:46,300 And, if we did the exact same thing, we've performed the 277 00:14:46,300 --> 00:14:47,480 exact same calculation. 278 00:14:47,480 --> 00:14:49,515 For every mole of this used, you have a 279 00:14:49,515 --> 00:14:50,580 mole of that produced. 280 00:14:50,580 --> 00:14:53,180 Or every 6 of this, you have 6 of that, 6 of that. 281 00:14:53,180 --> 00:14:55,510 So you're also going to have, by the very same logic, I 282 00:14:55,510 --> 00:14:57,470 mean, you could do this again with the water. 283 00:14:57,470 --> 00:15:06,980 You're also going to have 0.833 moles of water produced. 284 00:15:06,980 --> 00:15:07,270 Right? 285 00:15:07,270 --> 00:15:09,330 For every mole of carbon dioxide, you 286 00:15:09,330 --> 00:15:10,100 have a mole of water. 287 00:15:10,100 --> 00:15:12,620 Here it's 6 for 6, but it's a 1:1 ratio. 288 00:15:12,620 --> 00:15:14,530 You could think about it like that. 289 00:15:14,530 --> 00:15:18,710 Now let's figure out how many grams this is. 290 00:15:18,710 --> 00:15:20,920 We have the same number of moles of carbon dioxide and 291 00:15:20,920 --> 00:15:23,330 the same number of moles of water. 292 00:15:23,330 --> 00:15:26,400 But they're going to have different number of grams. So 293 00:15:26,400 --> 00:15:30,340 the actual number of molecules are the same, but the actual 294 00:15:30,340 --> 00:15:32,480 mass of those molecules are going to be different. 295 00:15:32,480 --> 00:15:39,950 So what's carbon dioxide's atomic weight? 296 00:15:39,950 --> 00:15:41,410 Just to remind ourselves. 297 00:15:41,410 --> 00:15:45,520 Carbon has atomic weight of 12, oxygen of 16. 298 00:15:45,520 --> 00:15:50,810 So it's going to be 12 plus 16 times two, which is equal to 299 00:15:50,810 --> 00:15:55,510 12 plus 32, which is equal to 44. 300 00:15:55,510 --> 00:16:06,370 So if we are starting off with 0.833 moles of carbon dioxide 301 00:16:06,370 --> 00:16:09,550 that are produced, we want to figure out how many grams per 302 00:16:09,550 --> 00:16:12,320 mole-- we're going to put the moles of carbon dioxide in the 303 00:16:12,320 --> 00:16:15,220 denominator because we want it to cancel with that. 304 00:16:15,220 --> 00:16:18,360 And then we have the grams of carbon dioxide. 305 00:16:18,360 --> 00:16:21,090 We know carbon dioxide's atomic weight is 44. 306 00:16:21,090 --> 00:16:24,510 So that means there are 44 grams. If we have a mole of 307 00:16:24,510 --> 00:16:27,620 carbon dioxide, if we have 6.022 times 10 to the 23 308 00:16:27,620 --> 00:16:29,680 carbon dioxide molecules. 309 00:16:29,680 --> 00:16:34,590 So this is going to be 44 times 0.833 310 00:16:34,590 --> 00:16:38,130 is-- what do we get? 311 00:16:38,130 --> 00:16:46,500 0.833 times 44 is equal to 36 point-- let's just say, 7. 312 00:16:46,500 --> 00:16:56,220 36.7 grams of CO2 are going to be produced. 313 00:16:56,220 --> 00:16:57,530 And then we're almost done. 314 00:16:57,530 --> 00:17:00,380 We just have to figure out how many grams of water are going 315 00:17:00,380 --> 00:17:01,040 to be produced. 316 00:17:01,040 --> 00:17:02,590 We know it's the same number of moles, but how 317 00:17:02,590 --> 00:17:04,329 many grams is that? 318 00:17:04,329 --> 00:17:11,470 So water's atomic weight is going to be 2 times 1, right? 319 00:17:11,470 --> 00:17:13,460 Because we have to 2 hydrogens. 320 00:17:13,460 --> 00:17:15,839 Plus 16. 321 00:17:15,839 --> 00:17:18,500 Which is equal to 18. 322 00:17:18,500 --> 00:17:26,160 So if we're starting off with 0.833 moles, or if we're 323 00:17:26,160 --> 00:17:33,680 producing 0.833 moles of water, we just multiply that 324 00:17:33,680 --> 00:17:36,920 times how many grams per mole of water? 325 00:17:36,920 --> 00:17:41,200 So 1 mole of H2O-- once again we want this in the 326 00:17:41,200 --> 00:17:45,110 denominator so it cancels out with this in the numerator. 327 00:17:45,110 --> 00:17:51,990 1 mole of H20 has a mass of 18 grams. Or 18 grams of H20 for 328 00:17:51,990 --> 00:17:53,700 every mole of H20. 329 00:17:53,700 --> 00:17:59,510 So this cancels with that and we get-- get the calculator 330 00:17:59,510 --> 00:18:13,180 out-- 18 times 0.833 is equal to 14.994. 331 00:18:13,180 --> 00:18:16,630 So we can just round that to 15.0. 332 00:18:16,630 --> 00:18:25,230 So we have 15.0 grams of water produced. 333 00:18:25,230 --> 00:18:27,200 And we're done! 334 00:18:27,200 --> 00:18:28,520 We are done. 335 00:18:28,520 --> 00:18:34,910 We figured out that if we start off with that 25 grams 336 00:18:34,910 --> 00:18:37,180 of glucose, like they told us at the beginning of the 337 00:18:37,180 --> 00:18:42,600 problem, we're going to require 26.7 grams of oxygen 338 00:18:42,600 --> 00:18:46,740 to react with it, we're going to produce 36.7 grams of 339 00:18:46,740 --> 00:18:52,180 carbon dioxide, and 15 grams of water.