Q.

Mass of 3Li7 = 7.0160 u, mass of 2He4 = 4.0026 u and mass 1H1 = 1.0079 u. When 20 gm of 3Li7 is converted into 2He4 by proton capture, the energy liberated (in kWh) is [1 u = 1 GeV/c2]

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a

8 x 106

b

6.82 x 105

c

4.5 x 105

d

1.33 x 106

answer is D.

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Detailed Solution

3Li7+1H122He4Δm=mLi+mH2MHe
Energy released E = Mc2
In used 1gm of LiE=ΔmC2MLi0
In used 20gm of  LiE=ΔmC2MLi0×20gm
E=((7.016+1.0079)2×4.0026)7.016C2×20g=0.0187×3×1082×20×1037.016
E = 480 x 1010 J
= 1.33 x 106 kWh

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