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Question

Calculate the wavelength of the radiation which would cause the photo-dissociation of chlorine molecule if the Cl-Cl bond energy is 243 kJ/mol.

A
493 nm
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B
4900 μm
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C
4900 nm
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D
493 m
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Solution

The correct option is A 493 nm
Let the wavelength of the radiation be λ.
Energy required to break one Cl-Cl bond = Bond energy per moleAvogadro's number
Energy required = 243×1036.023×1023 J = 4.034×1019 J
From Planck's quantum theory,
E = hcλ or λ=hcE
λ=6.626×1034×3×1084.034×1019=4.93×107
λ=4.93×107 m = 493 nm


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