A nuclear reactor continuously generates 150 MW of powerthrough the fissioning o

Question

A nuclear reactor continuously generates 150 MW of powerthrough the fissioning of uranium. Suppose that each fissionreleases 190 MeV. If one mole of uranium (6.023 ×1023 nuclei) has a mass of 0.235 kg, what mass ofuranium has undergone fission in a 4.0 day period?

a. 1.3 kg
b. 5.2 kg
c. 0.33 kg
d. 2.6 kg
e. 0.67 kg A nuclear reactor continuously generates 150 MW of powerthrough the fissioning of uranium. Suppose that each fissionreleases 190 MeV. If one mole of uranium (6.023 ×1023 nuclei) has a mass of 0.235 kg, what mass ofuranium has undergone fission in a 4.0 day period? 1.3 kg 5.2 kg 0.33 kg 2.6 kg 0.67 kg

Explanation / Answer

total power output released per sec = E energy released per fission = e total fissions required per sec = E/ e total U atoms that undergoes fissionper sec  N = E / e number of fissions takes place in 4.0days   N' = 4 *24*60*60 N mass of N' Uranium atoms = 232 * (N' /6.023*10^23)gms

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