Physical Chemistry: Thermodynamics, Structure, and Change

Published by W. H. Freeman
ISBN 10: 1429290196
ISBN 13: 978-1-42929-019-7

Chapter 3 - Topic 3B - The measurement of entropy - Exercises - Page 151: 3B.2(b)

Answer

(i) $-20.98\,J\,K^{-1}mol^{-1}$ (ii) $512.034\,J\,K^{-1}mol^{-1}$

Work Step by Step

$\Delta S^{\circ}_{rxn}=\Sigma n_{p}S^{\circ}(products)-\Sigma n_{r}S^{\circ}(reactants)$ (i) $\Delta S^{\circ}_{rxn}=[S^{\circ}(Zn^{2+}(aq))+S^{\circ}(Cu(s))]-[S^{\circ}(Zn(s))+S^{\circ}(Cu^{2+}(aq))]$ $=[(-112.1 \,J\,K^{-1}mol^{-1})+(33.150\,J\,K^{-1}mol^{-1})]-[(41.63\,J\,K^{-1}mol^{-1})+(-99.6\,J\,K^{-1}mol^{-1})]$ $=-20.98\,J\,K^{-1}mol^{-1}$ (ii) $\Delta S^{\circ}_{rxn}=[12S^{\circ}(CO_{2}(g))+11S^{\circ}(H_{2}O(l))]-[S^{\circ}(C_{12}H_{22}O_{11}(s))+12S^{\circ}(O_{2}(g))]$ $=[12(213.74 \,J\,K^{-1}mol^{-1})+11(69.91\,J\,K^{-1}mol^{-1})]-[(360.2\,J\,K^{-1}mol^{-1})+12(205.138\,J\,K^{-1}mol^{-1})]$ $=512.034\,J\,K^{-1}mol^{-1}$
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