In conversion of limestone to lime, ${\mathrm{CaCO}}_3\left(\mathrm{s}\right)\to \mathrm{CaO}\left(\mathrm{s}\right)+{\mathrm{CO}}_2\left(\mathrm{g}\right)$.  The values of  ${\mathrm{\Delta H}}^0\text{ and }{\mathrm{\Delta S}}^0$  are +179.1 kJ/mol and 160.2 J/K respectively at 298K and 1 bar. Assuming that  ${\mathrm{\Delta H}}^0\text{ and }{\mathrm{\Delta S}}^0$   do not change with temperature above which conversion of limestone to lime will be spontaneous