Oxygen O2 molecular mass 320 kgkmole is a diatomic molecule

Oxygen (O2; molecular mass 32.0 kg/kmole) is a diatomic molecule whose lowest frequency rotational absorption band is found at a frequency of 60 GHz.

a) Find the distance r separating the two oxygen atoms in the molecule?

formula for rotational energy of diatomic molecule

E = J*(J+1)*h^2)/(8piMR^2)

E = hV , and J = 1 , V = 60 GHz

=> R^2 = h/(128*pi^2*60*10^9)

=> R = 0.029 A OR 0.029*10^-10 m