The power obtained in a reactor using U 235 disintegration is 1000 kW . The mass decay of U 235 per hour is

Step-by-step solution

According to Einstein's mass energy relation E ⁡ = mc ⁡ 2 or m ⁡ = E ⁡ c 2 Mass decay per second = Δ m ⁡ Δ t = 1 c 2 Δ E ⁡ Δ t = P ⁡ c 2 = 1 0 0 0 × 1 0 3 W ⁡ 3 × 1 0 8 m/s 2 = 1 0 6 9 × 1 0 16   kg s - 1 Mass decay per hour = Δ m ⁡ Δ t × 6 0 × 6 0 = 1 0 6 9 × 1 0 1 6   kg s - 1 3 6 0 0   s ⁡ = 4 × 1 0 - 8 kg = 4 0 × 1 0 - 6 g = 4 0  μ g