Answer:
λ = 314.8 nm
Explanation:
E = hc/λ
E: energy
h: Planck constant = 6.62607015 × 10⁻³⁴
c: speed of light = 2.998 x 10⁸ m s⁻¹
λ: wavelength
Ground state:
E(gs) = 500 000 J
Lowest excited state:
E (les) = 120 000 J
Transition energy = E(gs) - E (les)
Transition energy = 380 000 J/mol
Transition energy = 380000 J/6.022x10²³ atoms
Transition energy = 6.31 x 10⁻¹⁹ J/atom
E = hc/λ
λ = hc/E
λ = (6.62607015 × 10⁻³⁴ x 2.998 x 10⁸ m s⁻¹) / 6.31 x 10⁻¹⁹ J
λ = 3.148 x 10⁻⁷ m
λ = 314.8 nm
