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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. `._(6)^(12)C+ ._(6)^(12)C to ._(10)^(20)Ne+ ._(2)^(4)He` 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» `._(6)C^(12)+._(6)C^(12)rarr ._(10)Ne^(20)+ ._(2)He^(4)` `Q = Delta m xx 931 MeX = [2m(._(6)C^(12))-m(._(10)Ne^(20))-m(._(2)He^(4))]xx931 MeV` `= [24.000000-19.992439-4.002603]xx931 MeV` `= pm 4.61 MeV` `therefore` The reation is exothermic. |
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