# Question 19.10: Calculating ΔG° and K at Various Temperatures a. What is ΔG°...

**Calculating** \Delta G^{\circ} and K **at Various Temperatures**

a. What is \Delta G^{\circ} at 1000^{\circ} \mathrm{C} for the following reaction?

\mathrm{CaCO}_{3}(s) \rightleftharpoons \mathrm{CaO}(s)+\mathrm{CO}_{2}(g)

Is this reaction spontaneous at 1000^{\circ} \mathrm{C} and 1 \mathrm{~atm} ?

b. What is the value of K_{p} at 1000^{\circ} \mathrm{C} for this reaction? What is the partial pressure of \mathrm{CO}_{2} ?

**PROBLEM STRATEGY**

a. Calculate \Delta H^{\circ} and \Delta S^{\circ} at 25^{\circ} \mathrm{C} using standard enthalpies of formation and standard entropies. Then substitute into the equation for \Delta G_{T}^{\circ}.

b. Use the value of \Delta G_{T}^{\circ} to find K\left(=K_{p}\right), as in Example 19.8.

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