A nuclear power reactor produces...?

Question

A nuclear power reactor produces 683 MW of power. How much matters is converted into energy each second to provide this? Give your answer in micrograms (i.e. 10-9 kg).

Answer: 7.59E0 (7.59 × 100)

P = 683x10^6

Total energy released per fission ~ 200 MeV

# of fissions = (683x10^6 J)/(3.2x10^-11 J) = 2.134375x10^19

(4x10^-25 kg/fissions)(2134375x10^19) = 8.54x10^-6 kg = 8.54 micrograms.

As you can see i didn't get the answer (above). Can someone help me figure it out? I appreciate it.

Answer 1

Calculate the energy in one second, power x time = E

Use Einsteins Equation

E = m c^2

of m = E/c^2

Substitute values with appropriate units and you will have your answer.

You need to do some of the work!