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Consider the Fusion Reaction The Know Atomic Masses Are 12H:2.01410u{ } _ { 1 } ^ { 2 } \mathrm { H } : \quad 2.01410 \mathrm { u }

question 21

Short Answer

Consider the fusion reaction:
12H+12H+12H24He+11H+01n{ } _ { 1 } ^ { 2 } \mathrm { H } + { } _ { 1 } ^ { 2 } \mathrm { H } + { } _ { 1 } ^ { 2 } \mathrm { H } \rightarrow { } _ { 2 } ^ { 4 } \mathrm { He } + { } _ { 1 } ^ { 1 } \mathrm { H } + { } _ { 0 } ^ { 1 } \mathrm { n }
The know atomic masses are
12H:2.01410u{ } _ { 1 } ^ { 2 } \mathrm { H } : \quad 2.01410 \mathrm { u }
24He:4.00260u{ } _ { 2 } ^ { 4 } \mathrm { He } : \quad 4.00260 \mathrm { u }
11H:1.00783u{ } _ { 1 } ^ { 1 } \mathrm { H } : \quad 1.00783 \mathrm { u }
01n:1.008665u{ } _ { 0 } ^ { 1 } \mathrm { n } : \quad 1.008665 \mathrm { u }
where 1u=1.6605×1027 kg1 \mathrm { u } = 1.6605 \times 10 ^{- 27} \mathrm {~kg} . What mass of deuterium fuel, 12H{ } _ { 1 } ^ { 2 } \mathrm { H } , is used up in producing 5.6×1015 J5.6 \times 10^{15} \mathrm {~J} of energy by this reaction?


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