Answer :

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Answer:

[tex]\large \boxed{\text{17.59 MeV}}[/tex]

Explanation:

[tex]\rm _{1}^{2}\text{H} + \, _{1}^{3}\text{H} \longrightarrow \, _{2}^{4}\text{He} + \,_{0}^{1}\text{n} + E[/tex]

1. Calculate the mass difference

 Mass of ₁²H = 2.014 102 u

 Mass of ₁³H = 3.016 049                      

              Total =                    5.030 151 u

Mass of  ₂⁴He = 4.002 603

   Mass of ₀¹n = 1.008 665                        

               Total =                    5.011 268    

     Difference =                     0.018 883 u

2. Convert the mass difference to energy.

931.5 MeV = 1 u

[tex]\text{Energy} = \text{0.018 883 u} \times \dfrac{\text{931.5 MeV}}{\text{1 u}} = \textbf{17.59 MeV}\\\\\text{The energy released is $\large \boxed{\textbf{17.59 MeV}}$}[/tex]

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