The heat of combustion of cyclopropane (left(mathrm{CH}_{2} ight)_{3}) is (-2090 mathrm{~kJ} / mathrm{mol}). The heat of formation

The heat of combustion of cyclopropane \(\left(\mathrm{CH}_{2}\right)_{3}\) is \(-2090 \mathrm{~kJ} / \mathrm{mol}\). The heat of formation of \(\mathrm{CO}_{2}\) and \(\mathrm{H}_{2} \mathrm{O}\) are -393.5 and \(-285.8 \mathrm{~kJ} / \mathrm{mol}\), respectively. Calculate

(a) the heat of formation of cyclopropane and

(b) the heat of polymerization of cyclopropane to propylene, given that \(\Delta H_{f}\left(\mathrm{CH}_{2}\right)_{3}=20.5 \mathrm{~kJ} / \mathrm{mol}\).