All Problems

Nuclear Reactions

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 \(4.1 \mathrm{~kJ} / \mathrm{g}\).

Reveal Answer
(b) \(1.5 \mathrm{~kg}\). (a) \(8.2 \cdot 10^{10} \mathrm{~kJ}, 2.7 \cdot 10^{6} \mathrm{~kg}\)