When an overall reaction is at equilibrium, the forward rate of a given elementary step mu...

When an overall reaction is at equilibrium, the forward rate of a given elementary step must equal the reverse rate of that step. Also, the elementary steps multiplied by their stoichiometric numbers add to the overall reaction. Use these facts to show that the equilibrium constant Kc for an overall reaction whose mechanism has m elementary steps is related to the ele­mentary rate constants by , where ki, k−i, and si are the forward and reverse rate constants and the stoichiometric number for the ith elementary step.