Calculate the rate constant, k, for a reaction at 53.0 c

Question

Calculate the rate constant, k, for a reaction at 53.0 c that has an activation energy of 81.0 kj/mol and a frequency factor of 6.02 x 10^11 s-1

Answer 1

k = Ae^(-Ea/RT) .. Arrhenius equation

k/A = e^(-Ea/RT)

k = ?

A = 6.02x10¹¹s^-1

Ea = 81.0 kJ/mol = 81000 J/mol

R = 8.314 J/Kmol

T = 53 + 273 = 326K

k / 6.02x10¹¹ = e^-29.88

k / 6.02x10¹¹ = 1.06x10^-13

k = 0.0635 s^-1

(be sure to check the math)