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Problem 90

Consider this reaction occurring at $298 \mathrm{…

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Problem 89

Consider this reaction occurring at $298 \mathrm{K} :$
$$\mathrm{N}_{2} \mathrm{O}(g)+\mathrm{NO}_{2}(g) \rightleftharpoons 3 \mathrm\ {NO}(g)$$
\begin{equation}\begin{array}{l}{\text { a. Show that the reaction is not spontaneous under standard }} \\ {\text { conditions by calculating } \Delta G_{\mathrm{rm}}^{\circ} .} \\ {\text { b. If a reaction mixture contains only } \mathrm{N}_{2} \mathrm{O} \text { and } \mathrm{NO}_{2} \text { at partial }} \\ {\text { pressures of } 1.0 \text { atm each, the reaction will be spontaneous }} \\ {\text { until someNO forms in the mixture. What maximum partial }} \\ {\text { pressure of NO builds up before the reaction ceases to be }} \\ {\text { spontaneous? }} \\ {\text { c. Can the reaction be made more spontaneous by an increase or }} \\ {\text { decrease in temperature? If so, what temperature is required to }} \\ {\text { make the reaction spontaneous under standard conditions? }}\end{array} \end{equation}

Answer

PART $\mathrm{A} : \Delta G^{\circ}=107.8 \mathrm{kJ}$
PART $\mathrm{B} : P_{N O}=5.0 \times 10^{-7}$ atm
PART $\mathrm{C} :$ spontaneous at higher temperatures and $T=923.4 \mathrm{K}$


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