Question

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

Answer 1

Answer:

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

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 =$\frac{495KJ}{6.022*10^{23} }$ = 8.22*10⁻¹⁹ J/photon

λ = hc/E= $\frac{6.626*10^{-34}*2.998*10^{8} }{8.22*10^{-19} }$

λ = 2.41*10⁻⁷ m = 241 nm

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