Practicing Success
The binding energy of deuteron ${ }_1^2 H$ is 1.112 MeV per nucleon and an $ \alpha$-particle ${ }_2^4 \mathrm{He}$ has a binding energy of 7.047 MeV per nucleon. Then in the fusion reaction ${ }_1^2 H+{ }_1^2 H \rightarrow_2^4 H e+Q$, the energy Q released is |
1 MeV 11.9 MeV 23.8 MeV 931 MeV |
23.8 MeV |
Mass of ${ }_1 H^2=2.01478$ a.m.u. Mass of ${ }_2 He^4=4.00388$ a.m.u. Mass of two deuterium = 2 × 2.01478 = 4.02956 Energy equivalent to $2_1 H^2$ = 4.02956 × 1.112 MeV = 4.48 MeV Energy equivalent to ${ }_2 H^4$ = 4.00388 × 7.047 MeV = 28.21 MeV Energy released = 28.21 - 4.48 = 23.73 MeV = 24 MeV |