integrated rate euqtion

For the reaction A Products, which follows first order kinetics, the rate of the reaction is proportional to the concentration of A raised to power 1. i.e.,

 

 

Integration of the differential equation gives In [A] = - kt + constant

 

At t = 0, [A] = [A]o

ln [A]o = constant

 

On substitution, the integrated equation is transformed to

 

 

 

The rate constant k1, of a first order reaction can be determined from the expression, The integrated rate equation can also be written in the form,