Numerical
Calculate the energy released in the nuclear reaction \[\ce{_3^7Li + p ->2\alpha}\] given mass of \[\ce{_3^7Li}\] atom and of helium atom to be 7.016 u and 4.0026 u respectively.
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Solution
Data: M1 \[\ce{(_3^7Li atom)}\] = 7.016 u, M2 = (He atom)
= 4.0026 u, mp = 1.00728 u, 1 u = 931.5 MeV/c2
Δ M = M1 + mp - 2M2
= (7.016 + 1.00728- 2(4.0026)]u
= 0.01808 u = (0.01808)(931.5) MeV/c2
= 16.84152 MeV/c2
Therefore, the energy released in the nuclear reaction= (ΔM)c2 = 16.84152 MeV
Concept: Nuclear Energy
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