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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. i. ""_1^1H + ""1^3Hto ""1^2H + ""1^2H ii. ""_6^12C + ""6^12C to ""10^20Ne + ""_2^4He Atomic masses are given to be m(""_1^2H) = 2.014102u m(""_1^3H) = 3.016049 u m(""_6^12C) = 12.000000u m_(""_10^20Ne) = 19.992439 u. |
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Answer» Solution :`i. ""_1^1H + ""_1^3H to ""1^2H + ""_1^2H` `Q = [{m(""1^2H) + m(""_1^3H)}-{m(""_1^2H) + m(""_1^2H)}]c^2` `=(4.02387 - 4.028204)931` `= -4.033 MEV` (Negative sign SHOWS that the REACTION is endothermic) II. `Q = [2m(""_6^12C) - {m(""10^(20)Ne) + m(""_2^4He)}]c^2` `={2 xx 12 -(19.992439 + 4.002603)}931` `=4.618 MeV` (exothermic reaction) |
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