   Chapter 13, Problem 25PS

Chapter
Section
Textbook Problem

A 35.0-g sample of ethylene glycol, HOCH2CH2OH, is dissolved in 500.0 g of water. The vapor pressure of water at 32 °C is 35.7 mm Hg. What is the vapor pressure of the water-ethylene glycol solution at 32 °C? (Ethylene glycol is nonvolatile.)

Interpretation Introduction

Interpretation: The vapor pressure of water-ethylene glycol solution at 32°C has to be identified.

Concept introduction:

Raoult’s law: The vapor pressure of the solvent over the solution Psolvent is proportional to the mole fraction of the solvent. The ideal solution obeys the Raoult’s law.

PsolventχsolventPsolvent,where,Psolventisthevapor pressure of the solvent over the solution,χsolventis mole fraction of solvent in solution, Psolvent is the vapor pressure of the pure solvent.

Explanation

Given data:

Mass of ehthylene glycol = 35 g;Water =0.500 kgPsolvent (vapor pressure of water at 32C ) =35.7 mmHg

Calculationof the mole fraction of water in solution(χwater):nethyleneglycol=35g62.07g/mol=0.564molnwater=500g18=27

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