Problem 6.261

Assuming that the splitting of a U ${ }^{235}$ nucleus liberates the energy of $200 \mathrm{MeV},$ find: (a) the energy liberated in the fission of one kilogram of $\mathrm{U}^{233}$ isotope, and the mass of coal with calorific value of $30 \mathrm{~kJ} / \mathrm{g}$ which is equivalent to that for one $\mathrm{kg}$ of $\mathrm{U}^{235}$ (b) the mass of $U^{235}$ isotope split during the explosion of the atomic bomb with 30 kt trotyl equivalent if the calorific value of trotyl is $4.1 \mathrm{~kJ} / \mathrm{g}$.