In conversion of limestone to lime,

$\mathrm{\text{C}}\mathrm{\text{a}}\mathrm{\text{C}}{\mathrm{\text{O}}}_3\left(\text{s}\right)\to \mathrm{\text{C}}\mathrm{\text{a}}\mathrm{\text{O}}\left(\text{s}\right)+\mathrm{\text{C}}{\mathrm{\text{O}}}_2\left(\mathrm{\text{g}}\right)$

the values of $∆\text{H}°\mathrm{\text{a}}\mathrm{\text{n}}\mathrm{\text{d}}∆\text{S}°$ are +179.1 KJ/mol ,160.2J/K respectively at 298 K and 1 bar. Assuming that $∆\text{H}°\mathrm{\text{a}}\mathrm{\text{n}}\mathrm{\text{d}}∆\text{S}°$ do not change with temperature, temperature above which conversion of limestone to lime will be spontaneous is