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  • The Q value of a nuclear reaction A + b C + d is defined by Q = m_ A+ m _b -m _c- m _d c^2 where the masses refer to the respective nuclei. _6 ^12 C + _6 ^12 C

Q. 13.15 (ii) The Q value of a nuclear reaction A + b \rightarrow 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.

                   (ii) _{6}^{12}\textrm{C}+_{6}^{12}\textrm{C}\rightarrow _{10}^{20}\textrm{Ne}+_{2}^{4}\textrm{He}

                   Atomic masses are given to be

                   m(_{1}^{2}\textrm{H})=2.014102\; u

                   m(_{1}^{3}\textrm{H})=3.0016049\; u

                   m(_{6}^{12}\textrm{H})=12.000000\; u

                   m(_{10}^{20}\textrm{Ne})=19.992439\; u

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\\\Delta m=2m(_{6}^{12}\textrm{C})-m(_{10}^{20}\textrm{Ne})-m(_{2}^{4}\textrm{He})\\ \Delta m=2\times 12.00000-19.992439-4.002603\\ \Delta m=0.004958

The above positive value of mass defect implies Q value would be positive and therefore the reaction is exothermic.

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