Calcium Carbonate Decomposes to Calcium Oxide and Carbon Dioxide $\mathrm{CaCO}_{3}(s) \rightleftharpoons \mathrm{CaO}(s)+\mathrm{CO}_{2}(g) \quad\quad\quad\quad\quad\quad \Delta H^{\circ}=+179 \mathrm{~kJ}$

Calcium carbonate decomposes to calcium oxide and carbon dioxide.
$\mathrm{CaCO}_{3}(s) \rightleftharpoons \mathrm{CaO}(s) +\mathrm{CO}_{2}(g) \quad\quad\quad\quad\quad\quad \Delta H^{\circ}=+179 \mathrm{~kJ}$
The equilibrium constant for this reaction is 9.7 × 10−²⁴ at 298 K.What is the equilibrium constant at 575 K? (R = 8.31 J/mol⋅K)

A) 7.5 × 10−¹⁶
B) 1.3 × 10−⁸
C) 1.4 × 10³⁸
D) 1.3 × 10¹⁵
E) 1.0 × 10²³