Calculate the Q-values of the following fusion reactions:
(a)``_1^2H+`_1^2H rarr `_1^3H+`_1^1H`.
``_1^2H+`_1^2H rarr `_2^3(He)+n`
``_1^2H+`_1^3H rarr `_2^4(He)+n`.
Atomic masses are `m(`_1^2H)=2.014102 u, m(`_1^3H)=3.016049 u, m(`_2^3(He))=3.016029 u, m(`_2^4(He))=4.002603 u.`

Answer

A, B, C, D

Explanation

(a) `Q = [2 xx m `_(1)^(2)H - m`_(1)^(3)H + m`_(1)^(1)H] C^2`
`= (4.025204 - 4.023874) 931MeV`
`= 4.03 MeV`
(b) `Q = [2 xx m `_(1)^(2)H - (m`_(2)^(3)H + n]C^2`
`=[4.028204 - 4.024694) xx 231`
`=0.00351 xx 931`
`= 3.26 MeV`.
(c) `Q = [m `_(1)^(2)H + m `_(1)^(3)H - m `_(1)^(4)He - mn] 931`
`=(2.014102 + 3.016049 - 4.002603`
`-1.008665) 931`
`=17.58 MeV`.