When 1 kg of uranium is fully utilized in nuclear reactors, the same amount of energy is released

When 1 kg of uranium is fully utilized in nuclear reactors, the same amount of energy is released as when 2000 tons of coal are burned. What is the magnitude of this energy?

Given:

m = 2000 tons is the mass of coal, the combustion of which releases the same amount of energy as when using 1 kg of uranium;

q = 29.3 * 10 ^ 6 Joule / kilogram – specific heat of combustion of coal.

It is required to determine Q (Joule) – the amount of energy.

Let’s convert the units of measurement of mass to the SI system:

m = 2000 tons = 2000 * 10 ^ 3 = 2 * 10 ^ 6 kilograms.

Then, to determine the amount of energy, you must use the following formula:

Q = q * m;

Q = 29.3 * 10 ^ 6 * 2 * 10 ^ 6 = 58.6 * 10 ^ 6 + 6 = 58.6 * 10 ^ 12 = 5.86 * 10 ^ 13 Joules.

Answer: the released energy will be equal to 5.86 * 10 ^ 13 Joules.