A) 165kg
B) 138kg
C) 180kg
D) 60kg
Correct Answer: B
Solution :
[b] Mass defect \[\Delta m=2\times 2.014-4.0026=0.0256\,a.m.u.\] Energy released when two \[_{1}{{H}^{2}}\] nuclei fuse \[=0.0256\times 931=23.8\text{ }MeV\] Total energy required to be produced by nuclear reaction in 1 year \[=2500\times {{10}^{6}}\times 3.15\times {{10}^{7}}=7.88\times {{10}^{16}}J\] No. of nuclei of \[_{1}{{H}^{2}}\] required \[=\frac{7.88\times {{10}^{16}}J}{23.8\times 1.6\times {{10}^{-13}}}\times 2=4.14\times {{10}^{28}}\] Mass of Deuterium required \[=\frac{4.14\times {{10}^{28}}}{6.02\times {{10}^{23}}}\times 2\times {{10}^{-3}}kg=138kg\]You need to login to perform this action.
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