When a Neutron Collides with a Uranium-235 Nucleus It Can

question 30

Multiple Choice

When a neutron collides with a uranium-235 nucleus it can induce a variety of fission reactions.
One such reaction is
$${ } _ { 92 } ^ { 235 } U + { } _ { 0 } ^ { 1 } n \rightarrow { } _ { 54 } ^ { 140 } \mathrm { Xe } + { } _ { 38 } ^ { 94 } \mathrm { Sr } + 2 { } _ { 0 } ^ { 1 } \mathrm { n }$$
The following mass values are known:
${ } _ { 54 } ^ { 140 }$ Xe: $\quad 139.921620 \mathrm { u }$
${ } _ { 38 } ^ { 94 } \mathrm { Sr } : \quad 93.915367 \mathrm { u }$
${ } _ { 92 } ^ { 235 } \mathrm { U } : \quad 235.043924 \mathrm { u }$
${ } _ { 0 } ^ { 1 } \mathrm { n } : \quad 1.008665 \mathrm { u }$
How much energy is released in this reaction? $\left( 1 \mathrm { u } = 931.5 \mathrm { MeV } / \mathrm { c } ^ { 2 } \right)$

• A) \(98.6 \mathrm { MeV }\)
• B) \(202 \mathrm { MeV }\)
• C) \(65.7 \mathrm { MeV }\)
• D) \(185 \mathrm { MeV }\)
• E) \(32.6 \mathrm { MeV }\)

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