# Problem: Consider a fusion reaction in which a proton fuses with a neutron to form a deuterium nucleus. How much energy is released in this reaction? (The mass of the deuterium nucleus is 2.01355u). Answer in MeV.

###### FREE Expert Solution

The energy released in the reaction:

$\overline{){\mathbf{E}}{\mathbf{=}}{\mathbf{∆}}{\mathbf{m}}{{\mathbf{c}}}^{{\mathbf{2}}}}$

The reaction process is:

${}_{\mathbf{1}}^{\mathbf{1}}\mathbit{H}\mathbf{\left(}\mathbit{p}\mathbit{r}\mathbit{o}\mathbit{t}\mathbit{o}\mathbit{n}\mathbf{\right)}{\mathbf{+}}_{\mathbf{0}}^{\mathbf{1}}\mathbit{n}{\mathbf{\to }}_{\mathbf{1}}^{\mathbf{2}}\mathbit{H}$

The reduced mass is obtained from:

$\begin{array}{rcl}\mathbf{∆}\mathbf{m}& \mathbf{=}& {\mathbf{m}}_{\mathbf{p}}\mathbf{+}{\mathbf{m}}_{\mathbf{n}}\mathbf{-}{\mathbf{m}}_{{}_{\mathbf{1}}^{\mathbf{2}}\mathbf{H}}\\ & \mathbf{=}& \mathbf{1}\mathbf{.}\mathbf{0072766}\mathbf{+}\mathbf{1}\mathbf{.}\mathbf{0086654}\mathbf{-}\mathbf{2}\mathbf{.}\mathbf{01355}\end{array}$

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###### Problem Details

Consider a fusion reaction in which a proton fuses with a neutron to form a deuterium nucleus. How much energy is released in this reaction? (The mass of the deuterium nucleus is 2.01355u). Answer in MeV.

What scientific concept do you need to know in order to solve this problem?

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What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Chini's class at UCF.