A type of incinerator used for combusting pollutants is called a rotary kiln. It is a cylindrical reactor inclined to the horizontal and undergoing slow rotational motion to achieve adequate mixing of the reactants. Consider a pesticide (DDT) containing waste being incinerated in the kiln at a temperature of 300C. It the decomposition rate of DDT at this temperature is 15 s^-1, determine the volume of the reactor required to achieve 99.99% destruction from the waste stream flowing into the incinerator at a rate of 0.01 m3/s. The kiln is operated as a plug flow reactor (PFR).