Question

What is the longest wavelength of radiation that possesses the necessary energy to break the o-o bond?

Answer 1

The longest wavelength of radiation is 241nm and it lies in ultraviolet region.

Step-by-step explanation:

The minimum energy required to break o-o bond is 495kJ/mole.

The photon does not have mass and the energy of the single photon depends entirely on the wavelength and is given by

e =hc/λ

where, h is the Planck constant,

c is the speed of light

e is the energy of photon

λ is the wavelength

From the Planck formula we can understand that energy of the photon is quantized.

E = e.Nₐ

e = E/Nₐ =
`(495KJ)/(6.022*10^(23) )` = 8.22*10⁻¹⁹ J/photon

λ = hc/E=
`(6.626*10^(-34)*2.998*10^(8) )/(8.22*10^(-19) )`

λ = 2.41*10⁻⁷ m = 241 nm

The longest wavelength of radiation is 241nm and it lies in ultraviolet region.