The elementary reaction in the gas phase: A+B -----> C+2D can be considered as practically irreversible under the operating conditions (T and P) chosen. At this temperature T, the rate constant is equal to 12 L/mol.min. This reaction is carried out in a continuous stirred reactor (CSTR) where Cao=Cbo = 0.1mol/l and an inlet volume flow of 30 L/min

The perfectly stirred reactor is replaced by a piston reactor (PFR), the operating conditions (T, P, volume flow rate and composition of the feed) being strictly identical. What volume must this reactor have so that the conversion of A at the outlet is 90%. Tips: You can use Simpson's method to determine the integral.