It has been found that gaseous iodine molecule just dissociates into iodine atoms after absorption of light at wavelengths $4995 \overset{0}{A}$ The energy required to dissociate 1 mole of iodine molecule is

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82.5 kcal/mole

93.4 kcal/mole

163.4 kcal/mole

57.3 kcal/mole

answer is D.

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Detailed Solution

Total energy required for 1 mol (in J)

$= N_{A} \frac{hc}{λ} = \frac{6 \times 10^{23} \times 6.62 \times 10^{- 34} \times 3 \times 10^{8}}{4995 \times 10^{- 10}} = 2.4 \times 10^{5} J$

$1 cal = 4.2 J, \underset{(Kcall mol)}{E} = \frac{2.4 \times 10^{5}}{4.2 \times 10^{3}} = 57.3$

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