   Chapter 18, Problem 70GQ

Chapter
Section
Textbook Problem

Estimate the boiling point of water in Denver, Colorado (where the altitude is 1.60 km and the atmospheric pressure is 630 mm Hg or 0.840 bar).

Interpretation Introduction

Interpretation:

The boiling point of water should be estimated in Denver, Colorado.

Concept introduction:

The vapor pressure of a substance is related to its enthalpy of vaporisation by the

expression,

ln(p2p1)=ΔHvapR(1T11T2)

Here, p1 and p2 are the vapour pressures at two different temperatures T1 and T2. This equation is known as Clausius-Clapeyron equation and is used to estimate the vapor pressure of a substance at a particular temperature.

Explanation

The boiling point of water in Denver, Colorado is calculated below.

The Appendix L referred for the values of standard enthalpies of water to calculate the value of ΔHvap.

The given reaction is,

H2O(l)H2O(g)

The ΔHvap for the above reaction is,

ΔHvap=(241.83 kJ/mol)(285.83 kJ/mol)=44 kJ/mol=44000 J/mol

The normal boling point of water  is 100 °C under the standard condition of pressure (p2) which is 760 mmHg. The value of p1 is 630 mmHg

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