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Question

An explosion of atomic bomb release an energy of 7.6×1013 J. If 200 MeV energy is released in fission of one U235 atom, then the number of uranium atoms undergoing fission and the mass of uranium used in the tom bomb

A
2.375×1024; 926.66 g
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B
3.375×1024; 926.66 g
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C
4.375×1024; 826.66 g
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D
5.375×1024; 826.66 g
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Solution

The correct option is A 2.375×1024; 926.66 g
Total energy released,

T.E=7.6×1013 J

Energy released in one fission,

E1=200 MeV=200×1.6×1013 J

Total number of uranium,

n=T.EE1

n=7.6×1013200×1.6×1013

n=7.63.2×1024=2.375×1024

Mass in terms of Avogadro number and number of atoms is given by,

m=nNAM

Here, M=235 g

m=2.375×1024×235 g6.023×1023=926.66 g

Hence, option (A) is correct.

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