In conversion of lime-stone to lime,
$ {CaCO_3(s)->CaO(s) +CO2(g)}$
the vales of $?H^?? and $?S^?? are $+179.1\, kJ\, mol^{-1}$ and $160.2\, J/K$ respectively at $298\, K$ and $1 \,bar$. Assuming that $?H^?? do not change with temperature, temperature above which conversion of limestone to lime will be spontaneous is