CHEM1312H - Integration Rate Laws

integrated rate law

relationship between the concentrations of the reactants and time in a chemical reaction

first order integrated rate law

-in the first order differential rate law, the rate is directly proportional to the concentrations of the reactant(s)

-ln[A]_t = -kt + ln[A]₀

-[A]_t - concentration of A at any time ‘t’

-[A]₀ - initial concentration of A

-units of k is time^-1

second order integrated rate law

-if the reaction is second order, the rate is proportional to the square of the concentration of the reactant(s)

-1/[A]_t = kt + 1/[A]₀

zero order integrated rate law

-if the reaction is zero order, the rate is proportional to the rate constant (rate = k[A]⁰ = k)

-the amount of A used in time t is equal to kt ([A]_t = -kt + [A]₀) (units of k is M/time)