First slide

Power

Question

How much mas:'; is converted into energy per day in Tarapur nuclear power plant operated at 10⁷ kW'?

Moderate

A

9.6 g
B

9.63 kg
C

8.6 g
D

7 g

Solution

Here, P = 10⁷kW = 10¹⁰ W = 10¹⁰ $j s^{- 1}$
Time, t = 1 day = 24 x 60 x 60 s
Energy produced per day,
E = Pt = 10¹⁰ x 24 x 60 X 60 = 864 X 10¹²J
As, E = mc²
$\Rightarrow Mass, m = \frac{E}{c^{2}} = \frac{864 \times 10^{12} J}{{(3 \times 10^{8})}^{2} {ms}^{- 1}}$
$= 9.6 \times 10^{- 3} kg = 9.6 g$

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