Calculate the heat produced (in kJ) when 224 gm of $CaO$ is completely converted to $CaCO_3$ by reaction with $CO_2$ at $27^\circ$C in a container of fixed volume.

Given: $\Delta H_f^\circ[CaCO_3(s)] = -1207$ kJ/mol; $\Delta H_f^\circ[CaO(s)] = -635$ kJ/mol; $\Delta H_f^\circ[CO_2(g)] = -394$ kJ/mol; [Use $R = 8.3$ JK$^{-1}$ mol$^{-1}$]