In conversion of limestone to lime, \[\] $CaCO_3(s) \rightarrow CaO(s) + CO_2(g)$ \[\] the values of $ \Delta H^{\circ}\: and\: \Delta S^{\circ}$ are 179 kJ/mol 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, temperature above which conversion of limestone to lime will be spontaneous is
