If each fission in a U^{235} nucleus releases | vedclass

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Question

(B) Given power $P = 1 \, kW = 1000 \, W = 1000 \, J/s$.Energy released per fission $E = 200 \, MeV = 200 	imes 10^6 	imes 1.6 	imes 10^{-19} \, J

Vedclass · Accepted Answer

$3.125 	imes 10^{13}$

Vedclass · Answer

(B) Given power $P = 1 \, kW = 1000 \, W = 1000 \, J/s$.Energy released per fission $E = 200 \, MeV = 200 	imes 10^6 	imes 1.6 	imes 10^{-19} \, J = 3.2 	imes 10^{-11} \, J$.Let $n$ be the number of fissions per second.The total power produced is $P = n 	imes E$.Therefore, $n = \frac{P}{E} = \frac{1000}{3.2 	imes 10^{-11}}$.$n = \frac{10^3}{3.2 	imes 10^{-11}} = 0.3125 	imes 10^{14} = 3.125 	imes 10^{13} \, 	ext{fissions/s}$.

If each fission in a $U^{235}$ nucleus releases $200 \, MeV$, how many fissions must occur per second to produce a power of $1 \, kW$?

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