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Question: The fission properties of \({}_{94}^{239}\)Pu are very similar to those of \({}_{92}^{235}\)U. the a...

The fission properties of 94239{}_{94}^{239}Pu are very similar to those of 92235{}_{92}^{235}U. the average energy released per fission is 180 Me V. if all the atoms in 1 kg of pure 94239{}_{94}^{239} Pu undergo fission, then the total energy released in me V is

A

4.53×1026MeV4.53 \times 10^{26}MeV

B

2.21×1014MeV2.21 \times 10^{14}MeV

C

1×1013MeV1 \times 10^{13}MeV

D

6.33×1024MeV6.33 \times 10^{24}MeV

Answer

4.53×1026MeV4.53 \times 10^{26}MeV

Explanation

Solution

: Number of atoms in 1 kg of pure 239pu239pu

=6.023×1023239×1000=2.52×1024= \frac{6.023 \times 10^{23}}{239} \times 1000 = 2.52 \times 10^{24}

As average energy released per fission is 180 MeV

\thereforetotal energy released

$$$= 4.53 \times 10^{26}MeV$