Asample 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).

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

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2