Calculate the activation energy, Ea, in kilojoules per mole...

Question

Calculate the activation energy, Ea, in kilojoules per mole for a reaction at 58.0 C that has a rate constant of 0.257 s-1 and a frequency factor of 4.98 x 10^11 s-1

Answer 1

To answer this question we need to use the Arrhenius Equation:

k is the rate constant = 0.257 s-1

T is the absolute temperature (in Kelvin) = 58 C --> 331.15 K

A is the frequency factor = 4.98 x 10^11 s-1

Ea is the activation energy for the reaction

R is the universal gas constant = 8.314 J/mol*k

Ea= -RT*Ln(k/A) = -8.314*331.15*ln(0.257/4.98 x 10^11) = 77894.5 J/mol = 77.9 kJ/mol