Question

Find the binding energy per nucleon of ²³⁵U based on the information given below.

	Mass(u)
mass of neutral `""_92^235"U"`	235.0439
mass of a proton	1.0073
mass of a neutron	1.0087

Answer 1

mass of protons (m_p) = 92 × 1.0073u = 92.6716u

mass of neutrons (m_n) = 143 × 1.0087u = 144.2441u

Total mass (m_p + m_n) = 236.9157u

mass defect = Δm = 236.9157u – 235.0439u

=1·8718u

Binding energy = Δm × 931.5

MeV = 1.8718 × 931.5

MeV = 1743.6 MeV

Binding energy per nucleon = `(1743.6  "MeV")/ 235`

= 7.42 MeV