For the generic reaction “A ⟶ products”, the integrated rate law:
for when the reaction is second order with respect to [A], that is when m = 2, is:
This integrated rate law for a second-order reaction can be alternatively expressed as:
The integrated rate law for a second-order reaction also has a standard linear equation format:
Hence, if a reaction is second order in [A], a plot of “ vs t” should yield a straight line, where the slope equals k and the y-intercept is . If the plot is not a straight line, then the reaction is not second order with respect to [A].