(a) Consider the so-called'D-T reaction' (Deuterium-Tritium reaction). In a thermonuclear fusion reactor, the following nuclear reaction occurs: _1^2…

Consider the so-called'D-T reaction' (Deuterium-Tritium reaction) . In a thermonuclear fusion reactor, the following nuclear reaction occurs: \[{ }_{1}^{2} \mathrm{H}+{ }_{1}^{3} \mathrm{H} \longrightarrow{ }_{2}^{4} \mathrm{He}+{ }_{0}^{1} \mathrm{n}+\mathrm{Q} \] Find the amount of energy released in the reaction. Given: \[\begin{aligned} & \mathrm{m}\left({ }_{1}^{2} \mathrm{H}\right)=2 \cdot 014102 \mathrm{u} \\ & \mathrm{~m}\left({ }_{1}^{3} \mathrm{H}\right)=3 \cdot 016049 \mathrm{u} \\ & \mathrm{~m}\left({ }_{2}^{4} \mathrm{He}\right)=4 \cdot 002603 \mathrm{u} \\ & \mathrm{~m}\left({ }_{0}^{1} \mathrm{n}\right)=1 \cdot 008665 \mathrm{u} \\ & 1 \mathrm{u}=931 \mathrm{MeV} / \mathrm{c}^{2} \end{aligned} \]

Show that the nuclear density is independent of mass number.