For the second order reaction,
$ A + B \to $ Products
When $ a $ moles of $ A $ reacts with $ b $ moles of $ B $ , the rate equation is given by
$ k_{2} t = \frac{1}{\left(a-b\right)} \,ln \,\frac{b\left(a-x\right)}{a\left(b-x\right)} $
When $ a > > b $ ,the rate expression becomes that of