### What is the change in entropy when 0.200 mol of p…

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University of New Mexico

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Problem 87

Among the many complex ions of cobalt are the following:
$$\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{6}^{3+}(a q)+3 \mathrm{en}(a q) \rightleftharpoons \mathrm{Co}(\mathrm{en})_{3}^{3+}(a q)+6 \mathrm{NH}_{3}(a q)$$
where "en" stands for ethylenediamine, $\mathrm{H}_{2} \mathrm{NCH}_{2} \mathrm{CH}_{2} \mathrm{NH}_{2} .$ Six$\mathrm{Co}-\mathrm{N}$ bonds are broken and six $\mathrm{Co}-\mathrm{N}$ bonds are formed in this reaction, so $\Delta H_{\mathrm{rn}}^{\circ} \approx 0 ;$ yet $K>1 .$ What are the signs of $\Delta S^{\circ}$ and
$\Delta G^{\circ} ?$ What drives the reaction?

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Chapter 20
Thermodynamics: Entropy, Free Energy, and the Direction of Chemical Reactions
CHEMISTRY: The Molecular Nature of Matter and Change 2016

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