A sample of shale contains 0.03% 238U by weight. Calculate the number of spontaneous fissions in one day in a 106 kg pile of the shale by determining the following quantities. The density of uranium is 19 g/cm3. The spontaneous fission activity rate is 0.69 fissions / (kg·s).

Question

Physics

Noel Stout

6 November, 20:41

A sample of shale contains 0.03% 238U by weight. Calculate the number of spontaneous fissions in one day in a 106 kg pile of the shale by determining the following quantities. The density of uranium is 19 g/cm3. The spontaneous fission activity rate is 0.69 fissions / (kg·s).

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Answers (1)

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Shiloh Tyler · Answer 1

a) mass = 300kg

b) no of atoms = 1.81 x 10^26atoms.

c) Fission Activity = 207Bq

d) no of fissions = 1.79 * 107 d^-1

Explanation:

a) mass = (3*10-4) (10^6kg) = 300kg

b) no of atoms = (300kg) X (6.022*10^23/kg) = 1.81 x 10^26atoms.

c) Fission Activity = (0.69) (300kg) = 207Bq

d) no of fissions = (207) (86400) = 1.79 * 107 d^-1