Chapter 19: Problem 17
What is the significance of the change in Gibbs free energy \((\Delta G)\) for a reaction?
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Chapter 19: Problem 17
What is the significance of the change in Gibbs free energy \((\Delta G)\) for a reaction?
These are the key concepts you need to understand to accurately answer the question.
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Calculate the free energy change for this reaction at \(25^{\circ} \mathrm{C} .\) Is the reaction spontaneous? $$\mathrm{C}_{3} \mathrm{H}_{8}(g)+5 \mathrm{O}_{2}(g) \longrightarrow 3 \mathrm{CO}_{2}(g)+4 \mathrm{H}_{2} \mathrm{O}(g)$$ $$\Delta H_{\mathrm{mm}}^{\circ}=-2217 \mathrm{k} \mathrm{k} ; \quad \Delta S_{\mathrm{mn}}^{\circ}=101.1 \mathrm{J} / \mathrm{K}$$
Determine \(\Delta G^{\circ}\) for the reaction: $$\mathrm{Fc}_{2} \mathrm{O}_{3}(s)+3 \mathrm{CO}(g) \longrightarrow 2 \mathrm{Fc}(s)+3 \mathrm{CO}_{2}(g)$$ ZUse the following reactions and given $${\mathrm{ron}}^{\circ}$$ values: $$2 \mathrm{Fe}(s)+\frac{3}{2} \mathrm{O}_{2}(g) \longrightarrow \mathrm{Fe}_{2} \mathrm{O}_{3}(s) \quad \Delta G_{\mathrm{m}}^{\circ}=-742.2 \mathrm{kJ}$$ $$\mathrm{CO}(g)+\frac{1}{2} \mathrm{O}_{2}(g) \longrightarrow \mathrm{CO}_{2}(g) \quad \Delta G_{\mathrm{m} n}^{\circ}=-257.2 \mathrm{kJ}$$
For each pair of substances, choose the one that you expect to have the higher standard molar entropy \(\left(S^{\circ}\right)\) at \(25^{\circ} \mathrm{C}\) . Explain the reasons for your choices. \begin{equation} \begin{array}{l}{\text { a. } \mathrm{NaNO}_{3}(s) ; \mathrm{NaNO}_{3}(a q)} \\\ {\text { b. } \mathrm{CH}_{4}(\mathrm{g}) ; \mathrm{CH}_{3} \mathrm{CH}_{3}(\mathrm{g})} \\ {\text { c. } \mathrm{Br}_{2}(l) ; \mathrm{Br}_{2}(g)}\end{array} \end{equation} \begin{equation} \begin{array}{l}{\text { d. } \operatorname{Br}_{2}(g) ; \mathrm{F}_{2}(g)} \\\ {\text { e. } \mathrm{PCl}_{3}(g) ; \mathrm{PCl}_{5}(g)} \\ {\mathrm{f} . \mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{CH}_{3}(\mathrm{g}) ; \mathrm{SO}_{2}(g)}\end{array} \end{equation}
The \(\Delta G\) for the freczing of \(\mathrm{H}_{2} \mathrm{O}(I)\) at \(-10^{\circ} \mathrm{C}\) is \(-210 \mathrm{J} / \mathrm{mol},\) and the heat of fusion of ice at this temperature is 5610 \(\mathrm{J} / \mathrm{mol} .\) Find the cntropy change of the universe when 1 mol of water freezes at \(-10^{\circ} \mathrm{C} .\)
Given the values of $$ \Delta H_{\mathrm{ran}}, \Delta S_{\mathrm{ran}}, \text { and } T, \text { determine } \Delta S_{\mathrm{univ}}$$ and predict whether each reaction is spontaneous. \( a.\quad \Delta H_{\mathrm{rxn}}^{\circ}=-95\mathrm{k} J ; \quad \Delta S_{\mathrm{mn}}^{\circ}=-157\mathrm{J} \quad {K} T=298 \mathrm{K} \) \( b.\quad \Delta H_{\mathrm{rxn}}^{\circ}= - 95 \mathrm{k} J ; \quad \Delta S_{\mathrm{mn}}^{\circ}=-157\mathrm{J} \quad {K} T=855\mathrm{K} \) \( c.\quad \Delta H_{\mathrm{rxn}}^{\circ}= + 95 \mathrm{k} J ; \quad \Delta S_{\mathrm{mn}}^{\circ}=-157\mathrm{J} \quad {K} T=298 \mathrm{K} \) \( c.\quad \Delta H_{\mathrm{rxn}}^{\circ}= - 95 \mathrm{k} J ; \quad \Delta S_{\mathrm{mn}}^{\circ}=+157\mathrm{J} \quad {K} T=398 \mathrm{K} \)
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