Atoms And Nuclei Question 345

Question: The nuclear fusion reaction 2H22He4+Energy  , is proposed to be used for the production of industrial power. Assuming the efficiency of process for production of power is 20%, find the ass of the deuterium required approximately for a duration of 1 year. Given mass of 1H2 nucleus = 2.0141 a.m.u and mass of 2He4 nuclei = 4.0026 a.m.u and 1 a.m.u. = 31 MeV

Options:

A) 165kg

B) 138kg

C) 180kg

D) 60kg

Show Answer

Answer:

Correct Answer: B

Solution:

  • Mass defect Δm=2×2.0144.0026=0.0256,a.m.u.

    Energy released when two 1H2

    nuclei fuse =0.0256×931=23.8MeV

    Total energy required to be produced by nuclear reaction in 1 year =2500×106×3.15×107=7.88×1016J

    No. of nuclei of 1H2

    required =7.88×1016J23.8×1.6×1013×2=4.14×1028 Mass of Deuterium required =4.14×10286.02×1023×2×103kg=138kg



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