It is given that each fission of a chain reaction produces 200 MeV energy. What is the number of fissions taking place per second it the reactor produces `10^(12)W` Power ?

Explanation

Power `= P = 10^(12) W = 10^(12)J//s`
Energy released per fission = 200 MeV
`= 200 xx 1.6 xx 10^(-13)J`
`= 3.2 xx 10^(-11)J`
Total energy released per second `= 120^(12) J//s`
Number of fissions taking place per second `= ("Total energy released")/("Energy released per fission")`
`= (10^(12))/(3.2 xx 10^(-11))`
`= (1)/(3.2) xx 10^(23)`
`= 0.3125 xx 10^(23)`
`= 3.125 xx 10^(22)` fissions/sec.