It takes 163kJ/mol to break an nitrogen-nitrogen single bond calculate the maximum wavelength of light for which nitrogen-nitrogen single bond could be broken by absorbing a single photon

Be sure your answer has correct number of significant digits in nm

1 answer

To calculate the maximum wavelength of light required to break a nitrogen-nitrogen single bond, we will use the equation:

E = hc/λ

Where:
E = energy required to break the bond = 163 kJ/mol = 163 x 10^3 J/mol
h = Planck's constant = 6.626 x 10^-34 J·s
c = speed of light = 2.998 x 10^8 m/s
λ = wavelength of light required

Rearranging the equation, we get:

λ = hc/E

Substituting the given values:

λ = (6.626 x 10^-34 J·s * 2.998 x 10^8 m/s) / (163 x 10^3 J/mol)

λ = (1.983 x 10^-25 J·m) / (163 x 10^3 J/mol)

λ ≈ 1.22 x 10^-28 m

To express the answer in nm, we convert meters to nanometers by multiplying by 10^9.

λ ≈ 1.22 x 10^-19 nm

The maximum wavelength of light required to break a nitrogen-nitrogen single bond is approximately 1.22 x 10^-19 nm.