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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` |
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Answer» `._(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. |
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