One of the first nuclear bombs based on the fission of U-235 had a maximum yield of 7.5 x10¹³ J.If the fission of U-235 releases 1.8 × 10¹³ J/mol,approximately what mass of U-235 was used in this bomb? (U-235 has a molar mass of 235.04 g/mol)

Question

Quizplus · Accepted Answer

First, calculate the number of moles of U-235 that would release the given energy: $ \frac{7.5 \times 10^{13} \text{ J}}{1.8 \times 10^{13} \text{ J/mol}} = 4.17 \text{ mol} $. Then, convert moles to grams: $ 4.17 \text{ mol} \times 235.04 \text{ g/mol} = 980.42 \text{ g} $, which is approximately $ 9.8 \times 10^{2} \text{ g} $.

One of the First Nuclear Bombs Based on the Fission