Energy released in the fission of a single 92U235 nucleus is 200 MeV. The fission rate of 92U235 fuelled reactor operating at power level of 5 MW is

Question

Energy released in the fission of a single 92U235 nucleus is 200 MeV. The fission rate of 92U235 fuelled reactor operating at power level of 5 MW is (A)  1.56× 1014/s  (B)  1.56× 1017/s  (C)  1.56× 1020/s  (D)  1.56× 10-17/s

Tardigrade Admin · Accepted Answer

Energy required per second =5MW =5× 106 text J/s Energy released during one fission =200 text MeV =200× 1.6× 10-13J ∴ Fission rate =(5× 106/200× 1.6× 10-13) =1.56× 1017/s

Q. Energy released in the fission of a single $_{92} U^{235}$ nucleus is 200 MeV. The fission rate of $_{92} U^{235}$ fuelled reactor operating at power level of 5 MW is

$1.56 \times 10^{14} / s$

$1.56 \times 10^{17} / s$

$1.56 \times 10^{20} / s$

$1.56 \times 10^{- 17} / s$

Energy required per second
$= 5 M W$
$= 5 \times 10^{6} J / s$ Energy released during one fission
$= 200 M e V$
$= 200 \times 1.6 \times 10^{- 13} J$
$∴$ Fission rate
$= \frac{5 \times 10 ^{6}}{200 \times 1.6 \times 10 ^{- 13}}$
$= 1.56 \times 10^{17} / s$

Q. Energy released in the fission of a single 92​U235 nucleus is 200 MeV. The fission rate of 92​U235 fuelled reactor operating at power level of 5 MW is

1.56×1014/s

1.56×1017/s

1.56×1020/s

1.56×10−17/s