Determine the standard heat of the following reaction at \(298 \mathrm{~K}\) :

(a) \(\mathrm{CaC}_{2}\) (s) \(+\mathrm{H}_{2} \mathrm{O}\) (l) \(\rightarrow \mathrm{C}_{2} \mathrm{H}_{2}\) (g) \(+\mathrm{CaO}\) (s)

(b) \(4 \mathrm{NH}_{3}(\mathrm{~g})+5 \mathrm{O}_{2}(\mathrm{~g}) \rightarrow 4 \mathrm{NO}(\mathrm{g})+6 \mathrm{H}_{2} \mathrm{O}(\mathrm{g})\)

(c) \(\mathrm{C}_{2} \mathrm{H}_{4}(\mathrm{~g})+\frac{1}{2} \mathrm{O}_{2}(\mathrm{~g}) \rightarrow\left(\mathrm{CH}_{2}\right)_{2} \mathrm{O}(\mathrm{g})\)

(d) \(\mathrm{H}_{2} \mathrm{~S}(\mathrm{~g})+2 \mathrm{H}_{2} \mathrm{O}(\mathrm{g}) \rightarrow 3 \mathrm{H}_{2}(\mathrm{~g})+\mathrm{SO}_{2}(\mathrm{~g})\).