00:01
Let's calculate the density of the solutions containing 20, 40, 16, 80 volume percent benzene.
00:09
Starting at 20 volume percent benzene.
00:17
This means that we have 20 milliliters of benzene and 80 millimeters of toluene.
00:28
So let's find the mass of benzene, which is equal to 20.
00:37
Militers times the density of benzene which is 0 .879 grams per milliliter and this yields a mass of 17 .58 grams and we'll solve for the mass of toluene which will equal to 80 milliliters times the density for tall uine 0 .867 grams per millimeter and this will yield 69 .36 grams of tallywing the mass of the solution would be the combined mass masses here 17 .58 grams plus 69 .36 grams which would be equal to 86 .94 grams for the total mass of the solution and now we can calculate the density of the solution which would be equal to mass 86 .94 grams over the volume which would be 100 milliliters, and we can solve for the density, which would be 0 .869 grams per milliliters.
02:00
Now this would be for the 20 % by volume solution.
02:06
In a very similar manner, we're going to calculate the density for a 40 % 40 volume percent benzene.
02:26
I'm not gonna show the full calculation here.
02:31
This will yield 40 milliliters of benzene, 60 milliliters of tallywene.
02:45
The mass of benzene using the density would be at 35 .16 grams.
02:56
The mass tallywine would be 52 .02 grams.
03:07
The mass of the solution would be these two masses added together.
03:15
It should be 87 .18 grams.
03:21
And then the density of the solution is .872 grams per milliliters.
03:30
And this would be for the 40 volume percent benzene solution.
03:40
For 60 volume percent benzene, we'll have the, well, we have, sorry, 60 milliliters of benzene and 40 milliliters toluene.
04:01
And let's calculate the density of the mixture.
04:04
The mass of the benzene using the density is going to be 52 .74 grams.
04:16
The mass of the tallyene will be equal to 34 .68 grams.
04:29
The mass of the solution, these two added together, would be 87 .42 grams.
04:40
The density of the solution would be equal to 0 .874 grams...