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Q.

You are given that mass   37Li=7.0160u, Mass of    24He=4.0026  u, and mass of    11H=1.0079  u
When 20g of   37Li is converted into  24He  by proton capture, the energy liberated, (in kWh), is :
Mass  of  nucleon=1  GeV/c2 
 

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a

4.5×105

b

6.82×105

c

8×106

d

1.33×106

answer is C.

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Detailed Solution

 37Li+P224HeMass defect=M=m(Product)-m(Reactant)=(7.0160u)+(1.0079u)-(2×4.0026u)M=0.0187u for 20g of 37Li No. of nucleus=207×6×1023Total mass defect =ΔM=0.0187×207×6×1023 uTotal energy liberated=E=ΔMc2E=ΔMc2=0.0187×1207×1023×c2×109×1.6×1019c2J×1kWh3.6×106J=1.4×106kWh 

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