Photo-dissociation of water HO(l) + H(g) + O(g) has been suggested as a source of hydrogen. The heat — Atomic 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)