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Question
(a) Calculate the number of grams of deuterium in an 80,000-L swimming pool, given deuterium is 0.0150% of natural hydrogen. (b) Find the energy released in joules if this deuterium is fused via the reaction ${}^{2}\textrm{H} + {}^{2}\textrm{H} \to {}^{3}\textrm{He} + n$. (c) Could the neutrons be used to create more energy? (d) Discuss the amount of this type of energy in a swimming pool as compared to that in, say, a gallon of gasoline, also taking into consideration that water is far more abundant.
1. $2680 \textrm{ g}$
2. $2.10\times 10^{14}\textrm{ J}$
3. Yes. For example, $n + {}^{1}\textrm{H} \to {}^{2}\textrm{H} + \gamma$
4. The energy released by fusion of deuterium in a swimming pool is $2\times 10^{6}$ times greater than that of a gallon of gasoline. Furthermore, there are many orders of magnitude greater mass of water on Earth than gasoline.
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