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# Approximately $1$ of every $3300$ water molecules contains one deuterium atom. (a) If all the deuterium nuclei in $1 \mathrm{L}$ of water are fused in pairs according to the $\mathrm{D}-\mathrm{D}$ fusion reaction $^{2} \mathrm{H}+^{2} \mathrm{H} \rightarrow^{3} \mathrm{He}+\mathrm{n}+3.27 \mathrm{MeV},$ how much energy in joules is liberated? (b) What If? Burning gasoline produces approximately $3.40 \times 10^{7} \mathrm{J} / \mathrm{L}$. State how the energy obtainable from the fusion of the deuterium in $1\mathrm{L}$ of water compares with the energy liberated from the burning of $1 \mathrm{L}$ of gasoline.

## $2.65 \times 10^6 \ \text{J}$

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##### Andy C.

University of Michigan - Ann Arbor

LB
##### Jared E.

University of Winnipeg