Fission of one uranium-236 nucleus releases 3.2 · 10 ^ -11 J of energy. How much energy will be released during

Fission of one uranium-236 nucleus releases 3.2 · 10 ^ -11 J of energy. How much energy will be released during the fission of uranium nuclei contained in a sample with a mass of 1.5 g?

Let’s find the amount of uranium substance:

n (U) = 1.5 / 236 = 6.36 * 10 ^ -3 mol;

Find the number of uranium atoms in the sample:

N (U) = 6.36 * 10 ^ -3 * 6.02 * 10 ^ 23 = 3.83 * 10 ^ 21;

Let’s find the released amount of energy:

Q = 3.2 * 10 ^ -11 * 3.83 * 10 ^ 21 = 1.23 * 10 ^ 11 J.

Answer: Q = 1.23 * 10 ^ 11 J.