# A solution of liquid toluene dissolved in liquid benzene has a benzene mole fraction of .850. Calculate the vapor pressure of the solution given that the vapor pressures of pure benzene and toulene are 183 mmHg and 59.2 mmHg, respectively?

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I tried solving it like this:

183(.850) + 59.2(.850) = 206 mmHg but this is wrong, please explain what I am doing wrong

I tried solving it like this:

183(.850) + 59.2(.850) = 206 mmHg but this is wrong, please explain what I am doing wrong

##### 1 Answer

#### Answer:

Now the sum of the mole fractions must equal

#### Explanation:

And given a binary solution:

Why? Because

And thus

I think you will kick yourself when you realize the mistake you made. Remember, we have ALL made this sort of error. It is easy to do.

Is this answer consistent with your model answer? As usual, the vapour pressure is enriched with respect to the proportion of the more volatile component of the solution, i.e. enriched with respect to benzene.