In conversion of lime-stone to lime, ${\mathrm{CaCO}}_3\left(s\right)⟶\mathrm{CaO}\left(\mathrm{s}\right)+{\mathrm{CO}}_2\left(\mathrm{g}\right)$ the value of $\mathrm{\Delta }{H}^{\circ }$ and $\mathrm{\Delta }{S}^{\circ }$ are $+179.1 \mathrm{kJ} {\mathrm{mol}}^{-1}$ and $160.2 \mathrm{J}/\mathrm{K}$ respectively at 298 K and 1 bar. Assuming that $\mathrm{\Delta }{H}^{\circ }$ and $\mathrm{\Delta }{S}^{\circ }$

do not change with temperature, temperature above which conversion of lime-stone to lime will be just spontaneous is :