Uranium-238 decays to thorium and helium according to the reaction ({ }^{238} mathrm{U} ightarrow{ }^{234} mathrm{Th}+{

Uranium-238 decays to thorium and helium according to the reaction \({ }^{238} \mathrm{U} \rightarrow{ }^{234} \mathrm{Th}+{ }^{4} \mathrm{He}\). How much energy is released when \(1.00 \mathrm{~kg}\) of uranium-238 decays? Compare this amount with the energy released when \(1.00 \mathrm{~kg}\) of coal is burned (approximately \(30 \mathrm{MJ}\) ). The atomic masses are \(m_{\mathrm{U}}=395.292632 \times 10^{-27} \mathrm{~kg}\), \(m_{\mathrm{Th}}=388.638541 \times 10^{-27} \mathrm{~kg}\), and \(m_{\mathrm{He}}=6.646479 \times\) \(10^{-27} \mathrm{~kg}\).