A nuclear reactor delivers a power of 109 W. What is the amount of fuel consumed by the reactor in one hour ?

Question

A nuclear reactor delivers a power of 109 W. What is the amount of fuel consumed by the reactor in one hour ? (A) 0.04 g (B) 0.08 g (C) 0.72 g (D) 0.96 g

Tardigrade Admin · Accepted Answer

P = (E/t) = (mc2/t) ∴ m = (Pt/c2) = (109 × 60 × 60/(3 × 108)2) = (36 × 1011/9 × 1016) = 4 × 10-5 kg = 0.04 g

Q. A nuclear reactor delivers a power of $1 0^{9}$ W. What is the amount of fuel consumed by the reactor in one hour ?

0.04 g

0.08 g

0.72 g

0.96 g

P = $\frac{E}{t} = \frac{m c ^{2}}{t}$ $∴$ $m = \frac{Pt}{c ^{2}} = \frac{1 0 ^{9} \times 60 \times 60}{( 3 \times 1 0 ^{8} ) ^{2}} = \frac{36 \times 1 0 ^{11}}{9 \times 1 0 ^{16}} = 4 \times 1 0^{- 5}$ kg = 0.04 g

Q. A nuclear reactor delivers a power of 109 W. What is the amount of fuel consumed by the reactor in one hour ?