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Characteristics Graphs for Zero Order Reaction

       

Rate = k[A]o

[A]o – [A]t = kt

[A]t = [A]o – kt

Y    = C + mx

Integrated Rate Equation

            For reaction, A to forms products

b) For first-order reaction

    Rate = - d[A] / dt              Rate = k [A]1

The differential rate equation : - d[A] / dt = k[A]

The integrated rate law :

Ln[A]o – ln[A]t = kt

Half life (t ½) of a first-order reaction

            Since, ln [A]o / [A]t = kt

Substituting t = t ½ ,            [A]t = [A]o / 2

Ln [A]o / ([A]o/2) = kt ½

t ½ = ln2 / k

Characteristic Graph For First-Order Reaction

Rate = k [A]

Ln[A]o – ln[A]t = kt

Graph of half life(t ½) for First-Order Reaction

t ½ = ln2 / k

t ½ is independent of initial concentration t1 = t2