Phy Question

(a) Electrical energy output per year
= 2000 x 10^6 x (365 x 24 x 3600) J = 6.31 x 10^16 J

(b) (i) Heat energy produced per year
= 6.31 x 10^16 x 100/40 J = 1.58 x 10^17 J
Mass of U-235 consumed
= 1.58x10^17/7.38x10^13 kg = 2138 kg
Hence, mass of nuclear fuel consumed
= 2138 x 100/3 kg = 7125 kg

(ii) Heat energy produced by burning coal
= 6.31x10^16 x (100/30) J = 2.1 x 10^17 J
Hence, mass of coal consumed in one year
= 2.1x10^17/1.07x10^7 kg = 1.97 x 10^10 kg