The decomposition of hydrocarbon follows the equation k = (4.5 × 1011 s−1) e−28000 K/T Calculate Ea.

Question 4.26: The decomposition of hydrocarbon follows the equation  k = (4.5 × 1011 s⁻¹) e^{−28000 K/T} Calculate E_a.
Answer
Given that
k = (4.5 × 10¹¹ s⁻¹) e^{−28000 K/T}
Arrhenius equation is given by,

Plug the values of R we get
E_a= 8.314 J K⁻¹ mol⁻¹ × 28000 K = 232792 J mol⁻¹
Divide by 1000 to convert in KJ we get
= 232.792 kJ mol⁻¹
Answer
Activation energy E_a = 232.792 kJ mol⁻¹