The experimentally determined rate law for the reaction 2A--->C is v=k[A]². Consider the mechanism for the reaction.

A + M ---> B + M

B + M ---> A + M

B + A ---> C

Write an expression for the rate of reaction using the rate of formation of the product C. Then derive a rate law using the steady-state approximation. Your rate law should be the same as the experimentally-determined rate law after making this approximation.