In a nuclear reactor, the fuel is consumed at the rate of $1 imes 10^{-3} \mathrm{gs}^{-1}$. The power generated in kW is

Question

In a nuclear reactor, the fuel is consumed at the rate of $1 	imes 10^{-3} \mathrm{gs}^{-1}$. The power generated in kW is

Aicharya · Accepted Answer

In nuclear reactor $\begin{aligned} & \frac{\Delta \mathrm{m}}{\Delta \mathrm{t}}=1 	imes 10^{-3} \mathrm{~g} \mathrm{~s}^{-1}=10^{-6} \mathrm{~kg} \mathrm{~s}^{-1} \ & \begin{aligned} 	herefore 	ext { Power }=\frac{\Delta \mathrm{E}}{\Delta \mathrm{t}}\left(\frac{\Delta \mathrm{m}}{\Delta \mathrm{t}}ight) \mathrm{c}^2= & 10^{-6} 	imes\left(3 	imes 10^8ight)^2 \ = & 9 	imes 10^7 \mathrm{~kW}\end{aligned}\end{aligned}$

In a nuclear reactor, the fuel is consumed at the rate of $1 \times 10^{-3} \mathrm{gs}^{-1}$. The power…

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