1 00:00:01,740 --> 00:00:04,610 Now let's say that you have a vial of plasma. 2 00:00:04,610 --> 00:00:06,950 And I'm actually going to label it as we go. 3 00:00:06,950 --> 00:00:11,500 We've got some sodium floating in here 4 00:00:11,500 --> 00:00:15,270 and you've got some anion in purple over here. 5 00:00:15,270 --> 00:00:19,290 And this could be anything that really binds to sodium. 6 00:00:19,290 --> 00:00:23,200 So if this is some negatively charged ion, maybe chloride, 7 00:00:23,200 --> 00:00:26,900 or bicarb, those are the two most common. 8 00:00:26,900 --> 00:00:31,540 And you've also got, let's say, some glucose in here. 9 00:00:31,540 --> 00:00:40,610 And maybe some urea, or we call it urea nitrogen as well. 10 00:00:40,610 --> 00:00:42,940 So you've got a few things floating around the plasma 11 00:00:42,940 --> 00:00:44,550 and someone asks you, well, what is 12 00:00:44,550 --> 00:00:47,890 the total osmolarity of the plasma? 13 00:00:47,890 --> 00:00:49,670 And you know that this is in units 14 00:00:49,670 --> 00:00:56,290 of osmoles per liter blood, Actually, 15 00:00:56,290 --> 00:00:59,770 I should write liter plasma to be more accurate. 16 00:00:59,770 --> 00:01:02,450 Since that's what we're talking about here. 17 00:01:02,450 --> 00:01:06,475 So per one liter of plasma. 18 00:01:06,475 --> 00:01:08,600 And these are the units that we have to think about 19 00:01:08,600 --> 00:01:10,260 to answer this question, is, what 20 00:01:10,260 --> 00:01:13,400 are the osmoles per liter of plasma? 21 00:01:13,400 --> 00:01:14,650 So let's go through this. 22 00:01:14,650 --> 00:01:16,358 And I'm going to give you some lab values 23 00:01:16,358 --> 00:01:19,300 and we'll see how based on just a few lab values and really 24 00:01:19,300 --> 00:01:23,290 just four of the most representative solutes, 25 00:01:23,290 --> 00:01:25,550 or most important solutes, we can 26 00:01:25,550 --> 00:01:29,000 get a pretty close guesstimate of the osmolarity. 27 00:01:29,000 --> 00:01:32,245 So you don't actually need to know every single osmole that's 28 00:01:32,245 --> 00:01:32,870 in your plasma. 29 00:01:32,870 --> 00:01:34,403 You can figure it out based on four 30 00:01:34,403 --> 00:01:35,600 of the most important ones. 31 00:01:35,600 --> 00:01:37,825 So let's go with the first one, sodium. 32 00:01:40,930 --> 00:01:43,600 And let's say the lab tells you, well, your sodium value-- 33 00:01:43,600 --> 00:01:47,280 and I'm going to write the labs in kind of this grey color, 34 00:01:47,280 --> 00:01:49,630 somehow that reminds me of the lab-- 35 00:01:49,630 --> 00:01:52,580 let's say they say the sodium value is 140 milliequivalents 36 00:01:52,580 --> 00:01:53,920 per liter. 37 00:01:53,920 --> 00:01:57,680 So how do you take that and make it into osmoles per liter? 38 00:01:57,680 --> 00:02:00,320 Well, our denominator is already OK. 39 00:02:00,320 --> 00:02:04,960 But immediately, you can say, OK, well 140 millimoles 40 00:02:04,960 --> 00:02:07,630 per liter is what that equals. 41 00:02:07,630 --> 00:02:10,210 And you know that because sodium is a monovalent. 42 00:02:10,210 --> 00:02:11,680 It's only got one charge. 43 00:02:14,510 --> 00:02:16,440 If it's monovalent, then that means 44 00:02:16,440 --> 00:02:19,546 that the equivalents equal the moles. 45 00:02:19,546 --> 00:02:20,920 And now that you're in moles, you 46 00:02:20,920 --> 00:02:22,920 can actually go across to osmoles. 47 00:02:22,920 --> 00:02:28,040 You could say 140 osmoles or milliosmoles per liter. 48 00:02:28,040 --> 00:02:31,900 And you know that because once sodium is in water, 49 00:02:31,900 --> 00:02:34,420 it acts the same way that you would expect it to act. 50 00:02:34,420 --> 00:02:36,400 It doesn't split up or anything like 51 00:02:36,400 --> 00:02:38,850 that because it's one particle. 52 00:02:38,850 --> 00:02:42,480 So it acts as a single particle. 53 00:02:42,480 --> 00:02:43,880 One particle. 54 00:02:43,880 --> 00:02:45,850 So if it's one particle, it's going 55 00:02:45,850 --> 00:02:49,120 to have 140 milliosmoles per liter. 56 00:02:49,120 --> 00:02:53,310 And we've effectively gotten one quarter of this problem done. 57 00:02:53,310 --> 00:02:57,390 Because all we need to do is take the four different solutes 58 00:02:57,390 --> 00:02:59,990 that we've identified and add them up together. 59 00:02:59,990 --> 00:03:01,740 So we've figured out sodium. 60 00:03:01,740 --> 00:03:04,410 And now let's move on to the anion. 61 00:03:04,410 --> 00:03:08,100 And the trick to the anion is just thinking of it as sodium. 62 00:03:08,100 --> 00:03:10,580 It's almost the same as sodium, but just the reverse. 63 00:03:10,580 --> 00:03:13,260 So we know that it's going to be 140. 64 00:03:13,260 --> 00:03:17,320 We're going to use 140 as the number here. 65 00:03:17,320 --> 00:03:24,020 Because our assumption is that sodium is a positive charge 66 00:03:24,020 --> 00:03:25,520 and for every one positive charge, 67 00:03:25,520 --> 00:03:27,440 you need one negative charge. 68 00:03:27,440 --> 00:03:30,190 So we're going to assume that all the negative charges are 69 00:03:30,190 --> 00:03:31,490 coming from these anions. 70 00:03:31,490 --> 00:03:33,400 And these would be things like we said, 71 00:03:33,400 --> 00:03:37,235 things like chloride or bicarb, something like that. 72 00:03:37,235 --> 00:03:39,110 So again, we don't actually get these numbers 73 00:03:39,110 --> 00:03:41,000 or even need these numbers, we simply 74 00:03:41,000 --> 00:03:45,200 take that 140 and we multiply by 2 75 00:03:45,200 --> 00:03:48,880 and assume that the other half is going to be some anion. 76 00:03:48,880 --> 00:03:51,260 Now we actually have to convert units still. 77 00:03:51,260 --> 00:03:56,400 We have to get over to milliosmoles per liter. 78 00:03:56,400 --> 00:03:58,910 And so we know that the anion is going to be monovalent 79 00:03:58,910 --> 00:04:02,370 and that gets us to millimoles. 80 00:04:02,370 --> 00:04:04,340 And we use the same logic as above. 81 00:04:04,340 --> 00:04:06,920 We just say, OK, well if that was millimoles 82 00:04:06,920 --> 00:04:11,310 and it's still one particle, meaning it's not splitting up 83 00:04:11,310 --> 00:04:14,230 when it hits water and going in two different directions, 84 00:04:14,230 --> 00:04:19,550 in a sense, having twice the effect, 85 00:04:19,550 --> 00:04:22,770 we're going to end up with 140 milliosmoles per liter, 86 00:04:22,770 --> 00:04:24,220 just as before. 87 00:04:24,220 --> 00:04:26,840 So this is our second part done, right? 88 00:04:26,840 --> 00:04:28,020 So two parts are done. 89 00:04:28,020 --> 00:04:31,360 We figured out the sodium and we figured out the anion. 90 00:04:31,360 --> 00:04:33,150 Now let's go over to glucose. 91 00:04:33,150 --> 00:04:36,900 So let's figure out how to get glucose as units from what 92 00:04:36,900 --> 00:04:39,280 the lab gives us, which I'll tell you in just a second, 93 00:04:39,280 --> 00:04:41,250 into something more usable. 94 00:04:41,250 --> 00:04:45,670 So how do we actually get over to something usable? 95 00:04:45,670 --> 00:04:51,060 Let me actually, switch over. 96 00:04:51,060 --> 00:04:52,370 There we go. 97 00:04:52,370 --> 00:04:53,670 Make some space on our canvas. 98 00:04:53,670 --> 00:04:58,170 So let's say we have our glucose here. 99 00:04:58,170 --> 00:05:00,830 And the lab calls us and says, hey, we just 100 00:05:00,830 --> 00:05:05,610 got your lab result, it was 90 milligrams per deciliter. 101 00:05:05,610 --> 00:05:08,580 It's actually a very, very common lab value 102 00:05:08,580 --> 00:05:12,590 or common range for a glucose lab value. 103 00:05:12,590 --> 00:05:14,020 One thing we have to do right away 104 00:05:14,020 --> 00:05:17,330 is figure out how to get from milligrams to moles. 105 00:05:17,330 --> 00:05:20,420 And you know that this is what glucose looks like. 106 00:05:20,420 --> 00:05:22,420 This is the formula for it. 107 00:05:22,420 --> 00:05:25,860 So to get the overall weight, the atomic weight, 108 00:05:25,860 --> 00:05:27,600 you could say, well, let's take 6, 109 00:05:27,600 --> 00:05:29,580 because that's how many carbons we have, 110 00:05:29,580 --> 00:05:32,280 times the weight of carbon, which is 12, 111 00:05:32,280 --> 00:05:35,590 plus 12, because that's what we have here, 112 00:05:35,590 --> 00:05:38,390 times the weight of hydrogen, which is 1, 113 00:05:38,390 --> 00:05:43,590 plus 6, times the weight of oxygen. 114 00:05:43,590 --> 00:05:47,290 And that's going to equal-- this is 72, this is 12, 115 00:05:47,290 --> 00:05:56,740 and this is 96, and add them all up together, and we get-- 180. 116 00:05:56,740 --> 00:06:01,320 So we have 180 atomic mass units per glucose molecule. 117 00:06:01,320 --> 00:06:03,190 Which means, if you think back, which 118 00:06:03,190 --> 00:06:13,510 means that one mole of glucose equals 180 grams. 119 00:06:13,510 --> 00:06:15,807 And since these are way, way bigger 120 00:06:15,807 --> 00:06:18,390 than, I mean this is grams, and we're talking about milligrams 121 00:06:18,390 --> 00:06:22,920 over here, so I'm going to just switch it down by 1,000. 122 00:06:22,920 --> 00:06:31,160 So one millimole of glucose equals 180 milligrams. 123 00:06:31,160 --> 00:06:33,400 All I did was divide by 1,000. 124 00:06:33,400 --> 00:06:37,430 So now I can take this unit and actually use our conversions. 125 00:06:37,430 --> 00:06:41,240 I could say, well, let's multiply that by 100 126 00:06:41,240 --> 00:06:45,130 and-- let's say, one millimole rather, 127 00:06:45,130 --> 00:06:50,440 one millimole per 180 milligrams, that'll 128 00:06:50,440 --> 00:06:52,360 cancel the milligrams out. 129 00:06:52,360 --> 00:06:55,220 And I also have to get from deciliters to liters, right? 130 00:06:55,220 --> 00:06:59,930 So I've got to go 10 deciliters equals 1 liter. 131 00:06:59,930 --> 00:07:02,310 And that'll cancel my deciliters out. 132 00:07:02,310 --> 00:07:06,180 So I'm left with-- and this 10 will get rid of that 0-- 133 00:07:06,180 --> 00:07:08,420 so I'm left with 90 divided by 18, 134 00:07:08,420 --> 00:07:13,740 which is 5 millimoles per liter. 135 00:07:13,740 --> 00:07:16,550 And, just as above, I know that the glucose 136 00:07:16,550 --> 00:07:20,680 will behave as one particle in water, in solution. 137 00:07:20,680 --> 00:07:25,770 So it's going to be 5 osmoles, or milliosmoles, actually. 138 00:07:25,770 --> 00:07:30,200 5 milliosmoles per liter. 139 00:07:30,200 --> 00:07:32,040 And that's the right units, right? 140 00:07:32,040 --> 00:07:36,270 So I figured out another part of my formula. 141 00:07:36,270 --> 00:07:38,772 And I'll show you the actual formula at the end of this, 142 00:07:38,772 --> 00:07:40,730 but I wanted to work through it piece by piece. 143 00:07:40,730 --> 00:07:45,340 So we've done glucose now and we're ready for our last bit, 144 00:07:45,340 --> 00:07:50,200 so let's do our last one, which is going to be urea. 145 00:07:50,200 --> 00:07:54,230 Specifically, the lab is not going to call us about urea, 146 00:07:54,230 --> 00:07:58,030 it's going to call us about blood urea nitrogen. 147 00:07:58,030 --> 00:08:00,670 And actually, it matters what this means. 148 00:08:00,670 --> 00:08:03,660 So what that exactly means is that they're 149 00:08:03,660 --> 00:08:08,200 measuring the nitrogen component of urea. 150 00:08:08,200 --> 00:08:11,140 And so they'll call you and say, well, we measured it 151 00:08:11,140 --> 00:08:16,560 and the value came to 14 milligrams per deciliter. 152 00:08:16,560 --> 00:08:18,340 Something like that, so let's say 153 00:08:18,340 --> 00:08:20,240 that's the amount of urea we find 154 00:08:20,240 --> 00:08:22,550 in our little tube of plasma. 155 00:08:22,550 --> 00:08:26,090 How do we convert that to moles per liter like we did before? 156 00:08:26,090 --> 00:08:32,530 Well, again, it'll be helpful if I draw out a molecule of urea. 157 00:08:32,530 --> 00:08:34,360 So we have something like this. 158 00:08:34,360 --> 00:08:36,330 A couple nitrogens. 159 00:08:36,330 --> 00:08:37,940 And this is what urea looks like. 160 00:08:37,940 --> 00:08:39,159 It's a pretty small molecule. 161 00:08:39,159 --> 00:08:42,140 A couple nitrogens, carbon, and oxygen. 162 00:08:42,140 --> 00:08:46,490 And these nitrogens have an atomic mass unit of 14 apiece. 163 00:08:46,490 --> 00:08:48,300 So that's 14. 164 00:08:48,300 --> 00:08:51,440 And this is 14 over here, as well. 165 00:08:51,440 --> 00:08:56,660 So what the lab actually measures is just this part. 166 00:08:56,660 --> 00:08:58,410 It's just measuring the two nitrogens. 167 00:08:58,410 --> 00:09:01,321 It's not measuring the weight of the entire molecule. 168 00:09:01,321 --> 00:09:03,820 So all it's going to give you is the weight of the nitrogens 169 00:09:03,820 --> 00:09:06,500 that are in the molecule. 170 00:09:06,500 --> 00:09:11,000 So what that means is that we say, OK, well, that tells us 171 00:09:11,000 --> 00:09:22,430 that one molecule of urea is going to be 28 atomic mass 172 00:09:22,430 --> 00:09:28,450 units of-- I'm going to put it in quotes-- urea nitrogen. 173 00:09:28,450 --> 00:09:32,030 Because that's the part of urea that we're measuring 174 00:09:32,030 --> 00:09:36,040 and that means that one mole of urea 175 00:09:36,040 --> 00:09:44,250 is going to be 28 grams of urea nitrogen. 176 00:09:44,250 --> 00:09:47,950 And because, again, this is much, much more 177 00:09:47,950 --> 00:09:50,260 than what we actually have, let me divide by 1,000. 178 00:09:50,260 --> 00:09:56,860 So one millimole equals 28 milligrams of urea nitrogen. 179 00:09:56,860 --> 00:10:02,360 So that's how we figure out the conversion. 180 00:10:02,360 --> 00:10:04,240 And I do the exact same thing as above. 181 00:10:04,240 --> 00:10:06,419 I say, OK, well, let's times-- let's say, 182 00:10:06,419 --> 00:10:08,210 I want to get rid of the milligrams, right? 183 00:10:08,210 --> 00:10:14,790 So 1 millimole divided by 28 milligrams, 184 00:10:14,790 --> 00:10:17,090 and that'll get rid of my milligrams. 185 00:10:17,090 --> 00:10:22,620 And I'll take, let's say, 10 deciliters over 1 liter 186 00:10:22,620 --> 00:10:25,550 and that'll help me get rid of my deciliters. 187 00:10:25,550 --> 00:10:31,470 And so then I'm left with 14 over 28, which is 0.5. 188 00:10:31,470 --> 00:10:34,400 And then times 10, so that's 5. 189 00:10:34,400 --> 00:10:39,380 5 millimoles per liter. 190 00:10:39,380 --> 00:10:41,870 And as I've done a couple times now 191 00:10:41,870 --> 00:10:44,170 and we know that it's the urea nitrogen 192 00:10:44,170 --> 00:10:47,880 or the urea is going to act and behave like one molecule or one 193 00:10:47,880 --> 00:10:49,420 particle when it's in water, it's 194 00:10:49,420 --> 00:10:51,760 not going to split up or anything like that, 195 00:10:51,760 --> 00:10:53,510 so that means that it's going to basically 196 00:10:53,510 --> 00:10:58,540 be 5 milliosmoles per liter. 197 00:10:58,540 --> 00:11:01,670 And so I figured out the last part of my equation. 198 00:11:05,330 --> 00:11:10,830 So going back to the top, we have sodium. 199 00:11:10,830 --> 00:11:13,810 And this turned out to be a total 200 00:11:13,810 --> 00:11:22,710 of 140 milliosmoles per liter. 201 00:11:22,710 --> 00:11:30,330 And then for our anion, we had 140 milliosmoles per liter. 202 00:11:30,330 --> 00:11:36,980 And then for our glucose, we had 5 milliosmoles per liter. 203 00:11:36,980 --> 00:11:42,790 And for our urea, we had 5 milliosmoles per liter. 204 00:11:42,790 --> 00:11:49,460 So adding it all up, our total comes to 140 times 2 plus 10. 205 00:11:49,460 --> 00:11:52,030 So we get, if I do my math correctly, 206 00:11:52,030 --> 00:11:57,090 I think that's 290 milliosmoles per liter. 207 00:11:57,090 --> 00:12:00,380 That's the answer to our osmolarity. 208 00:12:00,380 --> 00:12:01,970 Our total osmolarity in the plasma 209 00:12:01,970 --> 00:12:04,710 is 290 milliosmoles per liter. 210 00:12:04,710 --> 00:12:07,030 Now that was kind of the long way of doing it. 211 00:12:07,030 --> 00:12:09,460 Let me give you a very, very quick and dirty way 212 00:12:09,460 --> 00:12:09,960 of doing it. 213 00:12:09,960 --> 00:12:12,750 Let me actually make some space up here. 214 00:12:12,750 --> 00:12:15,380 You could do the exact same problem, you could say, 215 00:12:15,380 --> 00:12:24,900 well, this osmolarity equals, you could say, 216 00:12:24,900 --> 00:12:40,800 sodium times 2, plus glucose, divided by 18, 217 00:12:40,800 --> 00:12:45,450 plus BUN divided by 2.8. 218 00:12:45,450 --> 00:12:48,370 And that takes all of those conversions 219 00:12:48,370 --> 00:12:49,650 and simplifies it down. 220 00:12:49,650 --> 00:12:52,850 So if you ever get your sodium value, your glucose value, 221 00:12:52,850 --> 00:12:55,030 and your BUN, and you want to quickly calculate 222 00:12:55,030 --> 00:12:59,230 your osmolarity, now you know the fast way to do it.