How much mass is converted into energy per day in a nuclear power plant operated at `10^(7)` kW?

Options

A. 9.6 g
B. 9.63 kg
C. 8.6 g
D. 7 g

Answer

A

Explanation

(a) `P= 10^(7) kW =10^(10) W=10^(10)Js^(-1)`
Time,t=1 day `=24xx60xx60 s`
Energy produced per day
`E=Pt=10^(10)xx24xx60xx60=864xx10^(-3)kg=9.6 g`
As `E=mc^(2)`
`:.m=(E )/(c^(2))=(864xx10^(12)J)/((3xx10^(8))^(2)ms^(-1))=9.6xx10^(-3) kg=9.6 g`