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Chapter 13: Q97P (page 562)

Calculate the vapor pressure of a solution of 0.39 mol of cholesterol in 5.4 mol of toluene at 32掳C. Pure toluene has a vapor pressure of 41 torr at32掳C. (Assume ideal behavior.)

Short Answer

Expert verified

The vapor pressure is 38 torr.

Step by step solution

01

Concept

To calculate the Psolution,use the equationPsolution=Xsolvent脳Psolvent鈭�

This is known as the Raoult鈥檚 law.

02

Calculate mole fraction of toluene (Xtoluene)

Molesoftoluene=5.4molMolesofcholesterol=0.39mol

Xtoluene=molesoftoluenemolesoftoluene+molesofcholesterol=5.45.4+0.39=0.932.

03

Vapor pressure of solution

Using Psolution=Xsolvent脳Psolvent鈭� calculate the vapor pressure as shown below.

Xsolvent=0.932

role="math" localid="1663335854755" Psolvent鈭�=41torrPsolution=0.932脳41torr=38.212torr.

Therefore, the vapor pressure of the solution is 38 torr.

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