During a lightning strike, on the order of \(10 \mathrm{C}\) of charge is typically transferred to the ground over a potential difference of \(3 \times 10^{8} \mathrm{~V}\).

(a) What is the capacitance of the cloudground system?

(b) How much energy is stored in the system just before the strike?

(c) As a check on the order of magnitude of your answer for part \(b\), convert the energy released in the lightning strike into liters of gasoline (gasoline has a stored chemical energy of \(36 \mathrm{MJ} /\) liter).