Let ammonium cyanate be represented by A. We have to take a trial and error approach. We first assume that the reaction is first-order and plot ln{[A] / [A]o} against t. If it is a linear plot than it is a first-order reaction. You will find that this is not the case here.
So we will try the second-order integrated rate law and plot {[A]‾ - [A]o‾} against t, you will find that it is a linear plot and so the kinetics is according to the second-order integrated rate law; {[A]‾ - [A]o‾ } = kt. The gradient of the plot will then give the value of k. The answer is 1.13 x 10‾� dm� mol‾� s‾�. Back