When a Neutron Collides with a Uranium-235 Nucleus It Can $^{235}_{92}$

When a neutron collides with a uranium-235 nucleus it can induce a variety of fission reactions. One such reaction is $^{235}_{92}$ U + $^{1}_{0}$ n → $^{140}_{54}$ Xe + $^{94}_{38}$ Sr + 2 $^{1}_{0}$ n The following mass values are known: $^{140}_{54}$ Xe: 139.921620 u $^{94}_{38}$ Sr: 93.915367 u $^{235}_{92}$ U: 235.043924 u $^{1}_{0}$ n: 1.008665 u What mass of uranium is needed to produce a 10-kiloton yield?
(1 u = 931.5 MeV/c² = 1.66054 × 10^-27 kg, 1-kiloton yield = 5.0 × 10¹² J)

A) 0.57 kg
B) 0.66 kg
C) 6.58 kg
D) 3.85 kg
E) 1.10 kg

Correct Answer:

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