Answer:
241 nm, it is UV light range
Explanation:
The minimum energy needed required to break the oxygen-oxygen bond = 495 kJ/mol
Energy needed for 1 molecule of oxygen = 495 × 10³ J / avogadro's constant = 495 × 10³ J / ( 6.02 × 10²³) = 8.223 × 10⁻¹⁹ J
Energy = hv
where h = Planck constant = 6.626 × 10 ⁻³⁴ m²kg/s and v = frequency
c speed of light = vλ
c / λ = v
E = hc / λ
λ = hc / E = (6.626 × 10 ⁻³⁴ m²kg/s × 3.0 × 10 ⁸ m/s) / (8.223 × 10⁻¹⁹ J) = 2.41 × 10⁻⁷m = 241 nm
UV light wavelength is between 400 nm - 10 nm
241 nm is required which corresponds to ultraviolet radiation.
Energy of the photon = 495 × 10^3 J/mol/6.02 × 10^23mol-1 = 8.22 × 10^-19 J
We know that;
E = hc/λ
h = Plank's constant = 6.6 × 10^-34 Js
c = speed of light = 3 × 10^8 m/s
λ = wavelength = ?
Now;
λ = hc/E
λ = 6.6 × 10^-34 × 3 × 10^8/ 8.22 × 10^-19
λ = 2.41 × 10^-7 or 241 nm
This corresponds to ultraviolet radiation.
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