Physics 9702 · AS & A Level · Mass defect and nuclear binding energy

Mass defect and nuclear binding energy — practice question

One possible route to practical nuclear fusion is the D-T reaction.
(a)[1]

State what is meant by nuclear fusion.

(b)

In the D-T reaction, a deuterium ($^{2}_{1}\text{H}$) nucleus fuses with a tritium ($^{3}_{1}\text{H}$) nucleus to produce a helium-4 ($^{4}_{2}\text{He}$) nucleus. The nuclear equation for the reaction is $^{2}_{1}\text{H} + {}^{3}_{1}\text{H} \rightarrow {}^{4}_{2}\text{He} + {}^{1}_{0}\text{n} + \text{energy}$. Figure 9.1 gives some data for this reaction.

(b(i))[3]

Calculate the energy, in $\text{MeV}$, equivalent to $1.00\,\text{u}$. Explain your working.

(b(ii))[2]

Use data from Fig. 9.1 and your answer in (i) to determine the energy released in this D-T reaction.

(b(iii))[2]

Suggest why, for the D-T reaction to take place, the temperature of the deuterium and the tritium must be high.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Light nuclei join together to make heavier nuclei

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