The following equation shows the conversion of limes stone to lime $CaCO_3(s)\longrightarrow CaO(s) + CO_2(g)$. The values of $\Delta H^\circ$ and $\Delta S^\circ$ are $+179.1\; kJ$ and $160.2\; J/K$ respectively at $298\; K$ and $1\; bar$. Assuming that $\Delta H^\circ$ and $\Delta S^\circ$ do not change with temperature, minimum temperature above which conversion of lime stone to lime will be spontaneous is
