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In conversion of lime-stone to lime,
\( \mathrm{CaCO}_{3(\mathrm{~s})} \rightarrow \mathrm{CaO}_{(\mathrm{s})}+\mathrm{CO}_{2(\mathrm{~g})} \) the values of \( \Delta \mathrm{H}^{\circ} \) and \( \Delta \mathrm{S}^{\circ} \) are \( +179.1 \mathrm{~kJ} \mathrm{~mol}^{-1} \) and \( 160.2 \mathrm{~J} / \mathrm{K} \) respectively at \( 298 \mathrm{~K} \) and 1 bar. Assuming that \( \Delta \mathrm{H}^{\circ} \) and \( \Delta \mathrm{S}^{\circ} \) do not change with temperature, temperature above which conversion of limestone to lime will be spontaneous is
(a) \( 1118 \mathrm{~K} \)
(b) \( 1008 \mathrm{~K} \)
(c) \( 1200 \mathrm{~K} \)
(d) \( 845 \mathrm{~K} \).
\( \mathrm{P} \)
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