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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

Text Solution

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`E=7.6xx10^(13)J` , Energy released per fission`=200 MeV`
`=200xx10^(6)xx1.6xx10^(-19)=3.2xx10^(-11)J`
`"Number of uranium atoms"(n)=("Total energy")/("Energy per fission")`
`n=(7.6xx10^(13))/(3.2xx10^(-11))=2.375xx10^(24)"atoms"`
Avagadro number `(N)=6.023xx10^(23)"atoms"`
Mass of uranium `=`
`(nxx235)/(N)=(2.375xx10^(24)xx235)/(6.023xx10^(23))=92.66g`
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It is estimated that the atomic bomb exploded at Hiroshima released a total energy of 7.6xx10^(13)J . If on the average, 200MeV energy was released per fission, calculate (i) the number of Uranium atoms fissioned, (ii) the mass of Uranium used in the bomb.

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Knowledge Check

  • Isotope of uranium used in atomic bomb is

    A
    `._(92)^(237)U`
    B
    `._(92)^(238)U`
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  • An atomic power nuclear reactor can deliver 300 MW . The energy released due to fission of each nucleus of uranium atom U^238 is 170 MeV . The number of uranium atoms fissioned per hour will be.

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