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 $32^{°} C$ . Pure toluene has a vapor pressure of 41 torr at $32^{°} C$ . (Assume ideal behavior.)

Short Answer

Expert verified

The vapor pressure is 38 torr.

Step by step solution

Concept

To calculate the $P_{solution},$ use the equation $P_{s o l u t i o n} = X_{s o l v e n t} \times P_{s o l v e n t}^{\circ}$

This is known as the Raoult’s law.

Calculate mole fraction of toluene (Xtoluene)

$Molesoftoluene = 5.4 mol Molesofcholesterol = 0.39 mol$

$X_{toluene} = \frac{molesoftoluene}{molesoftoluene + molesofcholesterol} = \frac{5.4}{5.4 + 0.39} = 0.932 .$

Vapor pressure of solution

Using $P_{s o l u t i o n} = X_{s o l v e n t} \times P_{s o l v e n t}^{\circ}$ calculate the vapor pressure as shown below.

$X_{solv e nt} = 0.932$

role="math" localid="1663335854755" $P_{s o l v e n t}^{\circ} = 41 t o r r P_{solution} = 0.932 \times 41 torr = 38.212 torr .$

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

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Calculate the vapor pressure of a solution of 0.39 mol of cholesterol in 5.4 mol of toluene at $32^{°} C$ . Pure toluene has a vapor pressure of 41 torr at $32^{°} C$ . (Assume ideal behavior.)

Short Answer

Step by step solution

Concept

Calculate mole fraction of toluene (Xtoluene)

Vapor pressure of solution

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

Short Answer

Step by step solution

Concept

Calculate mole fraction of toluene (Xtoluene)

Vapor pressure of solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Chemistry Textbooks

Making Measurements

Physical Chemistry

Ionic and Molecular Compounds

Organic Chemistry

Chemical Reactions

Nuclear Chemistry

Study anywhere. Anytime. Across all devices.

Calculate the vapor pressure of a solution of 0.39 mol of cholesterol in 5.4 mol of toluene at $32^{°} C$ . Pure toluene has a vapor pressure of 41 torr at $32^{°} C$ . (Assume ideal behavior.)