The binding energies per nucleon for deuterium and helium are 1.1 MeV. And 7.0 MeV respectively. what energy in joules will be liberated when 2 deuterons take part in the reaction.

Q: The binding energies per nucleon for deuterium and helium are 1.1 MeV. And 7.0 MeV respectively.
what energy in joules will be liberated when 2 deuterons take part in the reaction.

Sol: ₁H² + ₁H² → ₂He⁴ + Q

Binding energy per nucleon of helium (₂He⁴) = 7 MeV

Binding energy = 4 × 7 = 28 MeV

Binding energy nucleon of deuterium (₁H²) = 1.1 MeV.

Binding energy = 2 × 1.1 = 2.2 MeV.

Energy liberated (Q) = [28 – (2.2)2] = 23.6 MeV.

i.e Q = 23.6 × 10⁶  × 1.6 × 10^-19 J ;

Q= 37.76 × 10^-13 J.