Answer is: the maximum wavelength of light is 7.34 × 10⁻⁷ m.
E= 163 kJ/mol; bond energy of one mole of nitrogen.
E = 163000 J/mol ÷ 6.022·10²³ 1/mol.
E = 2.707·10⁻¹⁹ J; bond energy per molecule.
E = h·c/λ.
c = 3.00 × 10⁸ m/s; light speed.
h = 6.62607004·10⁻³⁴ J·s; Planck constant.
λ(photon) = h·c/E.
λ(photon) = 6.62607004·10⁻³⁴ J·s · 3.00 × 10⁸ m/s ÷ 2.707·10⁻¹⁹ J.
λ(photon) = 7.34 × 10⁻⁷ m.
λ(photon) = 734 nm.