In the nuclear fission process mass is converted into energy. determine the total mass that must be converted to energy in one year by a 1 giga-watt nuclear if we a. assume 100% efficiency. b, assume only 30 % efficiency (nuclear energy to electrical energy conversion).

1) Mass that needs to be converted at 100% efficiency is 0.3504 kg

2) Mass that needs to be converted at 30% efficiency is 1.168 kg

Explanation:

By the principle of mass energy equivalence we have

where,

'E' is the energy produced

'm' is the mass consumed

'c' is the velocity of light in free space

Now the energy produced by the reactor in 1 year equals

Thus the mass that is covertred at 100% efficiency is

Part 2)

At 30% efficiency the mass converted equals