The Q value of a nuclear reaction `A+b to C+d` is defined by `Q=[m_(A)+m_(b)-m_(C )-m_(d)]c^(2)` where the masses refer to the respective nuclei. Determine from the given data the Q-value of the following reactions and state whether the reactions are exothermic or endothermic.
`._(1)^(1)H+ ._(1)^(3)H to ._(1)^(2)H+._(1)^(2)`
Atomic masses are given to be
`m(._(1)^(2)H)=2.014102 u`
`m(._(1)^(3)H)=3.016049 u`
`m(._(6)^(12)C)=12.000000 u`
`m(._(10)^(20)Ne)=19.992439 u`

Explanation

`._(1)H^(1)+ ._(1)H^(3)rarr ._(1)H^(2)+ ._(1)H^(2)`
`Q= Delta m xx 931 MeV = [m(._(1)H^(1)). +m(._(1)H^(3))-2m (._(1)H^(2))]xx931 MeV`
`= [1.007825+3.01604-2xx2.014102]xx931 MeV = - 4.03 MeV`
`therefore` This reaction is endothermic.