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Calculate and compare the energy release...

Calculate and compare the energy released by a. fusion of 1.0 kg of hydrogen deep within Sun and b. the fission of 1.0 kg of `.^(235)U` in a fission reactor.

Text Solution

Verified by Experts

In sun, four hydrogen nuclei fuse to form a helium nucleus with the release of 26 MeV energy.
`therefore` Energy released by fusion of 1 kg of hydrogen `= (6xx10^(23)xx26)/(4)xx10^(3)MeV`
`E_(1)=39xx10^(26)MeV`
As energy released in fission of one atom of `._(92)U^(236)=200 MeV`
Energy released in fission of 1kg of `._(92)U^(238)`
`= (6xx10^(23)xx1000)/(235)xx200 MeV`
`E_(2)=5.1xx10^(26)MeV`
`(E_(1))/(E_(2))=(39xx10^(26))/(5.1xx10^(26))=7.65`
i.e., Energy released in fusion is 7.65 times the energy released in fission.
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