A power station must supply an electrical output of continuously for one day

PHYSICS · Single correct · A Level · Physics · Nuclear physics · Nuclear physics

Problem

A power station must supply an electrical output of

1\,\text{GW}

continuously for one day. If the thermal-to-electrical efficiency is

30\%

, estimate the mass of

^{235}\text{U}

that must undergo fission during this period. Take

200\,\text{MeV}

per fission and Avogadro’s number

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

. (a)

0.35\,\text{kg}

(b)

3.5\,\text{kg}

(c)

35\,\text{kg}

(d)

1.05\,\text{kg}