What is the relationship between the equilibrium constant (K c ) of reaction and the rate constants for the forward (k) and reverse (k r ) reactions in a single step reaction

The relationship between the equilibrium constant of reaction and the rate constants for the forward and reverse reactions in a single step reaction is

Explanation:

Equilibrium constant is the ratio of product of the concentration of products to the product of concentration of reactants.

For example if the reaction is :

Rate of forward direction=

Rate of backward direction=

At equilibrium, Rate of forward direction = Rate of backward direction

thus

where

Thus

i just learnt this recently but i need to look through my notes again