A nuclear reactor generates `P = 20 MW` power at efficiency `eta = 60%` by nuclear fission of a radio-nuclide whose half life is `T = 2.2` years. If each fission releases energy `E = 200 MeV`, calculate time during which `mu = 10` mole of the radionuclide will be consumed completely.
(Avogadro number , `N = 6 xx 10^(23), log_(e)2 = 0.693, 1 "year" = 3.15 xx 10^(7)s`)

Answer

`[(T)/(ln 2)ln(1+(mu N eta Eln 2)/(PT)) = 10^(8) ln (1.0576)s]`