5. Thermodynamics and thermochemistry — Chemistry STD 11 Science — Question

$CaCO_3( s) \rightarrow CaO(s) + CO_2(g)$

the values of $\Delta H^o$ and $\Delta S^o$ are $+ 179.1\, kJ\, mol^{-1}$ and $160.2\, J/K$ respectively at $298\, K$ and $1\,bar.$ Assuming that $\Delta H^o$ and $\Delta S^o$ do not change with temperature, temperature above which conversion of lime stone to lime will be spontaneous is ............. $\mathrm{K}$