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The binding energy of a hydrogen molecul...

The binding energy of a hydrogen molecule is 4.75 eV. Energy required to dissociate 0.05% of hydrogen gas at NTP occupying volume 5.6 litres is:

A

20 J nearly

B

30 J nearly

C

40 J nearly

D

60 J nearly

Text Solution

Verified by Experts

The correct Answer is:
D
Energy required to dissociate one molecule
= `B.E. = 4. 75 xx 1.6 xx 10^(-19) J`
Volume to be dissociated =`(5.6xx0.05)/100`
Since 224 litre contain `6.02xx10^(23)` molecules.
`therefore` Number of molecules to be dissociated
`therefore` Total energy required
`=(6.02xx10^(23))/(22.4)xx(5.6xx0.05)/100xx4.75xx1.6xx10^(-19)`
`=57.2J`
Thus the correct choice is (d).
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