Photo-dissociation of water (l) + hν → (g) + 1/2 (g) has been suggested as a source of hydrogen. The — Atomic Structure Chemistry Question

Question

Photo-dissociation of water $H_2O$(l) + hν → $H_2$(g) + 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)