A power station supplies a constant electrical output of with an overall efficiency of

PHYSICS · Subjective · AP · Physics 2: Algebra-based · Modern Physics · Modern Physics

Problem

A power station supplies a constant electrical output of

1000\,\text{MW}

with an overall efficiency of

35\%

. If the fuel is

^{235}\mathrm{U}

and each fission releases

200\,\text{MeV}

, determine the mass of

^{235}\mathrm{U}

that must undergo fission during

24\,\text{h}

of continuous operation. Take

N_A = 6.02\times10^{23}\,\text{mol}^{-1}

, atomic mass of U-235

=235\,\text{g\,mol}^{-1}

, and

1\,\text{eV}=1.6\times10^{-19}\,\text{J}