General Chemistry (4th Edition)

Published by University Science Books
ISBN 10: 1891389602
ISBN 13: 978-1-89138-960-3

Chapter 23 Chemical Thermodynamics - Problems - Page 893: 52

Answer

$33.85\,kJ/mol$

Work Step by Step

The Clapeyron-Clausius equation can be used to find $\Delta H^{\circ}_{vap}$. $\ln (\frac{P_{2}}{P_{1}})=\frac{\Delta H^{\circ}_{vap}}{R}(\frac{T_{2}-T_{1}}{T_{1}T_{2}})$ $\implies \ln (\frac{48.1\,Torr}{133.0\,Torr})=-1.017$ $=\frac{\Delta H^{\circ}_{vap}}{8.3145\,Jmol^{-1}K^{-1}}(\frac{273.15\,K-293.15\,K}{293.15\,K\times273.15\,K})$ That is, $-1.017=\frac{\Delta H^{\circ}_{vap}}{8.3145\,Jmol^{-1}}\times-0.00024977$ Or $\Delta H^{\circ}_{vap}=\frac{-1.017\times8.3145\,J/mol}{-0.00024977}$ $=33.85\times10^{3}\,J/mol= 33.85\,kJ/mol$
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