Can Anyone Check My Chemistry HW?

Question

Q.) In a future hydrogen-fuel economy, the cheapest source of H2 will certainly be water. it takes 467kJ to produce 1 mol of H atoms from water. what is the frequency, wavelength, and minimum energy of a photon that can free an H atom from water?

V=E/h-->> { (467kJ)(10^3J/1KJ) (mol/6.022x10^23) / (6.626x10^-34) }
E=7.75x10^-19
V=1.17x10^15

Lamda=hc/E-->> { (6.626x10^-34J) (3.00x10^8) / (7.75x10^-19) }
Lamda=2.56x10^-7

Answer 1

seems correct to me