JEE MainPhysicsAtoms and NucleiMCQ+4 / −1
You are given that Mass of = 7.0160u, Mass of = 4.0026u and Mass of = 1.0079u. When 20 g of is converted into by proton capture, the energy liberated, (in kWh), is : [Mass of nucleon = 1 GeV/c2]
- A6.82 105
- B4.5 105
- C8 106
- D1.33 106
View written solutionFree
Correct answer: D
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Write the nuclear reaction
Proton capture by lithium gives:
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Calculate mass defect per reaction
Initial mass:
Final mass:
Mass defect:
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Convert mass defect into energy per reaction
Given:
Hence,
In joules:
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Find number of lithium nuclei in 20 g of
Molar mass of is approximately .
Number of moles in :
Number of nuclei:
-
Total energy released
-
Convert joules to kWh
Therefore,
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Match with the nearest option
The computed value is closest to:
So the correct option is D.
Note: Using more accurate constants gives about , but among the given choices, D is the best match.
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