Question

In the decomposition of limestone to lime, the values of \( \Delta H^\circ \) and \( \Delta S^\circ \) are \( +179.1 \, kJ \, mol^{-1} \) and \( 160.2 \, J \, K^{-1} \, mol^{-1} \). Calculate the temperature above which conversion of limestone to lime will be spontaneous, if values of \( \Delta H^\circ \) and \( \Delta S^\circ \) remain unchanged with temperature. [Assuming pressure 1 bar]

• A. 1018 K
• B. 1200 K
• C. 1028 K
• D. 1118 K

Hint:

For temperature-based spontaneity problems, use \( \Delta G = 0 \) conditionAlways convert \( \Delta H \) into Joules to match units of \( \Delta S \).

Answer 1

The Correct Option is D