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:

Options

A. 20 J nearly
B. 30 J nearly
C. 40 J nearly
D. 60 J nearly

Answer

D

Explanation

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).