Answered: We mixed some ethylene glycol with 346…

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

We mixed some ethylene glycol with 346 g water to reduce the equilibrium vapor pressure of water from 23.76 Hg to 22.5 Hg at 25°C. The molar masses of water and ethylene glycol are 18.02 g/mol and 62.07 g/mol, respectively. Assume ideal behavior for the solution. What is the boiling point of this solution? (Hint: find the molality first, and for water, kb = .510 m/°C; boiling point of water: 100.0°C.)

Expert Solution

Step 1

According to the question,

The vapor pressure of the pure solvent is given by $= P_{o} = 23.76 H g = 0.794 a t m$

The vapor pressure of the solution is given by $= P = 22.5 H g = 0.752 a t m$

The mass of water is given by = $m = 346 g$

The molar mass of water = $18.02 g / m o l$

The molar mass of ethylene glycol $= 62.07 g / m o l$

$K_{b} f o r w a t e r i s g i v e n b y = 0.510 m / ° C$

Find- Boiling point of the solution.

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