Suppose that a catalyst lowers the activation barrier of a reaction from 125kj/mol to 55kj/mol125⁢kj/mol to 55kj/mol. by what factor would you expect the reaction rate to increase at 25 °c? (assume that the frequency factors for the catalyzed and uncatalyzed reactions are identical.

The factor of increasing reaction rate is 1,85x10¹².

Explanation:

Using arrhenius formula:

Where k is rate constant; A is frecuency factor; Eₐ is activation energy; R is gas constant (0,008134 kJ/molK); T is temperature 25°C = 298,15K

Thus, replacing for an activation energy of 125 kJ/mol assuming A as 1:

k = 1,25x10⁻²²

When activation energy is 55kJ/mol:

k = 2,31x10⁻¹⁰

Thus, the factor of increasing reaction rate is:

2,31x10⁻¹⁰/1,25x10⁻²² = 1,85x10¹²

I hope it helps!