Answered: Water has a vapor pressure of 18.0 torr…

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

Water has a vapor pressure of 18.0 torr and a density of 0.997 g/mL. Acetone (CH₃COCH₃) has a vapor pressure of 225.0 torr and a density of 0.784 g/mL. Calculate the vapor pressure (in torr) of a solution containing 365 mL of water and 495 mL of acetone. Assume this solution behaves ideally.

Expert Solution

Step 1: Given information:

The vapor pressure of water, p_w is given as $18.0 space t o r r$ .

The vapor pressure of acetone, p_a is given as $225.0 space t o r r$ .

The density of water is given as $0.997 space g divided by m l$ .

The density of acetone is given as $0.784 space g divided by m l$ .

The volume of water is given as $365 space m l$ .

The volume of acetone is given as $495 space m l$ .

The vapor pressure of a solution is dependent on the vapor pressures of its components and their mole fractions in the solution. Raoult's law describes the relationship between the vapor pressure of a solution and its components.

In this question, we will use Raoult's law to calculate the vapor pressure of a solution containing water and acetone, assuming ideal solution behavior.

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