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Question

(C) Given: Power $P = 300 \, MW = 300 	imes 10^6 \, W$.Energy released per fission $E = 170 \, MeV = 170 	imes 10^6 	imes 1.6 	imes 10^{-19} \, J$

Vedclass · Accepted Answer

$40 	imes 10^{21}$

Vedclass · Answer

(C) Given: Power $P = 300 \, MW = 300 	imes 10^6 \, W$.Energy released per fission $E = 170 \, MeV = 170 	imes 10^6 	imes 1.6 	imes 10^{-19} \, J$.Time $t = 1 \, h = 3600 \, s$.The total energy produced in time $t$ is $W = P 	imes t = n 	imes E$,where $n$ is the number of nuclei.$n = \frac{P 	imes t}{E} = \frac{300 	imes 10^6 	imes 3600}{170 	imes 10^6 	imes 1.6 	imes 10^{-19}}$.$n = \frac{300 	imes 3600}{170 	imes 1.6 	imes 10^{-19}} = \frac{1080000}{272 	imes 10^{-19}} \approx 3.97 	imes 10^{22} \approx 40 	imes 10^{21}$.

$A$ nuclear reactor provides a power of $300 \, MW$. If the fission of one uranium nucleus ${U^{235}}$ releases $170 \, MeV$ of energy,how many nuclei undergo fission in $1 \, h$?

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