In the conversion of limestone to lime,CaCO_{ | vedclass

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(A) For a reaction to be spontaneous,the Gibbs free energy change $\Delta G^{\circ}$ must be less than $0$.Using the relation $\Delta G^{\circ} = \Del

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$1118$

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(A) For a reaction to be spontaneous,the Gibbs free energy change $\Delta G^{\circ}$ must be less than $0$.Using the relation $\Delta G^{\circ} = \Delta H^{\circ} - T \Delta S^{\circ}$,we set $\Delta G^{\circ} $\Delta H^{\circ} - T \Delta S^{\circ} $\Delta H^{\circ} $T > \frac{\Delta H^{\circ}}{\Delta S^{\circ}}$Given $\Delta H^{\circ} = 179.1 \ kJ \ mol^{-1} = 179100 \ J \ mol^{-1}$ and $\Delta S^{\circ} = 160.2 \ J \ K^{-1} \ mol^{-1}$:$T > \frac{179100}{160.2} \ K$$T > 1117.97 \ K$Rounding to the nearest whole number,$T > 1118 \ K$.

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