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An explosion of atomic bomb releases an ...

An explosion of atomic bomb releases an energy of `7.6xx10^(13)J`. If `200 MeV` energy is released on fission of one `.^(235)U` atom calculate (i) the number of uranium atoms undergoing fission. (ii) the mass of uranium used in the atom bomb

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`E=7.,6 x 10 ^(3)J,` Energy released per fission `= 200 MeV`
`= 200 xx 10 ^(6) xx 1.6 x 10 ^(-19) = 3.2 10 ^(-11) J`
Number of aranium atoms ` (n) = (" Total energy" )/("Energy per fission")`
` n = (7.6 xx 10 ^(13))/( 3.2 xx 10 ^(-11)) = 2. 375 xx 10 ^(24)` atoms
Avagadro number `(N) = 6.023 xx 10 ^(23)` atoms
Mass of aranium =
`(n xx 235)/(N) = (2.375 xx 10 ^(24) xx 235)/(6. 023 xx 10 ^(23)) = 92. 66g`
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