If the frequency factor is 1.2×1013s−1. what is the activation barrier?

If the frequency factor is 1.2*10^13/s , what is the activation barrier?
The rate constant of a reaction at 33 Degrees Celsius was measured to be 5.8×10^-2 /s.

Answer

k = A·e^{ -Ea/(R·T) }
<=>
ln(k/A) = -Ea/(R·T)
<=>
Ea = -R·T·ln(k/A)
= - 8.314472Jmol?¹K?¹ · (33 + 273.15)K · ln(5.8×10?²s?¹/ 1.2×10¹³s?¹)
= 83907Jmol?¹
= 83.91kJmol?¹

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