Calculate the Q-values of the following fusion reactions:
(a) 21H+21H→31H+11H
(b) 21H+21H→23He+n
(c) 21H+31H→24He+n
Atomic masses are m(21He)=2.014102 u,m(31He)=3.016049 u,m(32He)=3.016029 u,m(42He)=4.002603 u.
(a) Q = [2×m21H−m31H+m11H]C2
= (4.028204-4.023874) 931 MeV
= 4.03 MeV
(b) Q = [2×m21 H−(m32 H+n)]C2
= [4.028204 - 4.024694) ×231
= 0.0351×931
= 3.26 MeV
(c) Q = [m21 H+m31 H−m41 He−mn] 931
= (2.014102 + 3.016049- 4.002603-1.008665) 931
= 17.58 Mev