In conversion of lime-stone to lime, ${\mathrm{CaCO}}_3\left(\mathrm{s}\right)⟶\mathrm{CaO}\left(\mathrm{s}\right)+{\mathrm{CO}}_2\left(\mathrm{g}\right)$ he values of $\mathrm{\Delta }{H}^{\circ }$ and $\mathrm{\Delta }{S}^{\circ }$ are $179.1{\mathrm{kJmol}}^{-1}$ and $160.2{\mathrm{JK}}^{-1}{\mathrm{mol}}^{-1}$ 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 limestone to lime will be spontaneous is