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Question

Photodissociation of water

H2O(l)+hvH2(g)+12O2(g)\mathrm{H}_2 \mathrm{O}(l)+h v \longrightarrow \mathrm{H}_2(g)+\frac{1}{2} \mathrm{O}_2(g)

has been suggested as a source of hydrogen. The energy for the reaction is 285.8 kJ285.8 \mathrm{~kJ} per mole of water decomposed. Calculate the maximum wavelength (in nm\mathrm{nm} ) that would provide the necessary energy. In principle, is it feasible to use sunlight as a source of energy for this process?

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Our task for this problem is to determine the maximum wavelength that would provide the necessary energy to decompose 1 mole of water to hydrogen and oxygen.

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