00:01
All right, so this is a question that is going to look at a practical application and, like, dosing different medicines.
00:08
And so what we've got is the question is how many grams of a certain malality solution that we will need to obtain a dose of 1 .5 milligrams.
00:19
So first of all, what we need to figure out is if our solution is 1 .3 times 10 to the negative 3 malau, you know, how many grams of the medicine does that? solution going to, you know, contain.
00:33
And so what molality means is that we should have 1 .3 times 10 to the negative 3 moles of our solute, which in this case is nylorphine per one kilogram of our solvent, which in this case will be water since it's aqueous.
00:50
And so the first thing we're going to do is take that active ingredient, the nelorphine, and convert that from moles to grams using its molar mass.
00:58
The chemical formula of nolorphine, is c19, age 21, and a 3.
01:03
And if you add all those together, that gives you a molar mass of 311 .41 grams per one mole.
01:11
So you'll do 1 .3 times 10 to negative 3, multiplied by 311 .41.
01:17
And what that will give you is an overall molar mass of 0 .40.
01:23
And we'll go ahead and keep one more digit there, 0 .405 grams, again, of our active ingredient, nylorphine.
01:33
Now, what we're going to do is kind of set up a proportion here.
01:37
So based on our molality, we know that we have 0 .405 grams of nilorphine for every one kilogram of our water.
01:48
So one kilogram is the same thing as a thousand grams of water, which we're going to kind of treat as the majority of our solution...