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# 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. _1^1 H +_1^3 H rightarrow _1^2H+_1^2 H

Q. 13.15 (i) 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.

$(i) _{1}^{1}\textrm{H}+_{1}^{3}\textrm{H}\rightarrow _{1}^{2}\textrm{H}+_{1}^{2}\textrm{H}$thefollowing

Atomic masses are given to be

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

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

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

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

$\\\Delta m=m(_{1}^{1}\textrm{H})+m(_{1}^{3}\textrm{H})-2m(_{1}^{2}\textrm{H})\\ \Delta m=1.007825+3.0016049-2\times 2.014102\\ \Delta m=-0.00433$