The rate constant (kCT) of a bimolecular reaction according to collision theory is given by
\(k_{C T}=N_A\left(\frac{8 k_B T}{\pi \mu}\right)^{9 / 4} \sigma e^{-E_0 / R T} \)
E0 is related to activation energy (Ea) of the Arrhenius equation as:
1
\(E_a=\frac{3R T}{2}+E_0\)
2
\(E_a=9\,{R T} +4E_0\)
3
\(E_a=5\,{R T}+E_0\)
4
\(E_a=\frac{9R T}{4}+E_0\)