Physical Chemistry: Thermodynamics, Structure, and Change

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

Chapter 3 - Topic 3C - Concentrating on the system - Exercises - Page 152: 3C.4(b)

Answer

(i) -212.55 kJ/mol (ii) -5797.75 kJ/mol

Work Step by Step

Recall that $\Delta_{r}G^{\circ}=\Sigma n_{p}\Delta_{f}G^{\circ}(products)-\Sigma n_{r}\Delta_{f}G^{\circ}(reactants)$ (i) $\Delta_{r}G^{\circ}=[\Delta_{f}G^{\circ}(Zn^{2+},aq)+\Delta_{f}G^{\circ}(Cu, s)]-[\Delta_{f}G^{\circ}(Zn, s)+\Delta_{f}G^{\circ}(Cu^{2+},aq)]$ $=[(-147.06\,kJ/mol)+(0)]-[(0)+(65.49\,kJ/mol)]$ $=-212.55\,kJ/mol$ (ii) $\Delta_{r}G^{\circ}=[12\Delta_{f}G^{\circ}(CO_{2},g)+11\Delta_{f}G^{\circ}(H_{2}O,l)]-[\Delta_{f}G^{\circ}(C_{12}H_{22}O_{11},s)+12\Delta_{f}G^{\circ}(O_{2},g)]$ $=[12(-394.36\,kJ/mol)+11(-237.13)]-[(-1543\,kJ/mol)+12(0)]$ $=-5797.75\,kJ/mol$
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