Atomic StructuremediumMCQ SINGLE

Photo-dissociation of water HO(l) + H(g) + O(g) has been suggested as a source of hydrogen. The heatAtomic Structure Chemistry Question

Question

Photo-dissociation of water H$_2$O(l) + $h\nu \to$ H$_2$(g) + $\frac{1}{2}$O$_2$(g) has been suggested as a source of hydrogen. The heat absorbed in this reaction is 289.5 kJ/mole of water decomposed. The maximum wavelength that would provide the necessary energy assuming that one photon causes the dissociation of one water molecule is (1 eV = 96.5 kJ/mol)

Answer: A

💡 Solution & Explanation

The energy required per water molecule in eV is $\frac{289.5 \text{ kJ/mol}}{96.5 \text{ kJ/mol/eV}} = 3.0$ eV. The corresponding maximum wavelength is $\lambda = \frac{1240}{3.0} \approx 413.33$ nm. Therefore, correct answer is A.

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