In a neutron induced fission of `_92U^235` nucleus, usable energy of 185 MeV is released. If `_92U^235` reactor is continuously operating it at a power level of 100 MW power, how long will it take for 1 kg of uranium to be consumed in this reactor?

Answer

A, D

Explanation

Number of nuclei in 1kg of uranium,
`N=(1/235)(6.02xx10^26)`
Now, `(1/235)(6.02xx10^26)(185xx1.6xx10^-13)`
`=(100xx10^6)t`
`:.` `t=7.58xx10^5s`
`=(7.58xx10^5)/(60xx60xx24)day`
`=8.78 days`