The standard heat of reaction is -178.3 kJ.
We have the following information:
For most chemistry problems involving ΔH_f^"o"ΔHof, you need the following equation:
ΔH_(rxn)^"o" = ΣΔH_f^"o"("p") - ΣΔH_f^"o"("r")ΔHorxn=ΣΔHof(p)−ΣΔHof(r),
where "p"p = products and "r"r = reactants.
ΣΔH_f^"o"("p") = 1 cancel("mol CaCO₃") × "-1206.9 kJ"/(1 cancel("mol CaCO₃")) = "-1206.9 kJ"
ΣΔH_f^"o"("r") = 1 cancel("mol CaO") × "-635.09 kJ"/(1cancel("mol CaO")) + "1 mol" cancel("CO₂") × "-393.509 kJ"/(1cancel("mol CO₂")) = "-1028.599 kJ"
ΔH_("rxn")^"o" = ΣΔH_f^"o"("p") - ΣΔH_f^"o"("r") = "-1206.9 kJ + 1028.599 kJ" = "-178.3 kJ"