The decomposition of limestone
`CaCO_(3) = CaO_(s) + CO_(2) (g)`
is nonspontaneous are `176 kJ` and `160 Jk^(-1)`, respectively. At what temperature, the decomposition becomes spontaneous?

For the reaction : CaCO_(3) (s) hArr CaO (s) + CO_(2) (g)

For the reaction CaCO_(3(s)) hArr CaO_((s))+CO_(2(g))k_p is equal to

For the reaction CaCO_(3(s)) hArr CaO_((s))+CO_(2(g))k_p is equal to

In the conversion of lime stone to lime, CaCO_(3(s)) rarr CaO_((s)) + CO_(2(g)) , the values of Delta H^(@) and Delta S^(@) are + 179.1 kJ mol^(-1) and 160.2 JK^(-1) mol^(-1) respectively at 298K and 1 bar. Assuming, Delta H^(@) and Delta S^(@) do not change with temperature, temperature above which conversion of lime stone to lime will be spontaneous is