Calculate the reactor volume required to achieve 60 % conversion as well as the space time for the following gas phase reaction in a plug flow reactor:

A + 3B C + D

reaction rate : ( -r_A) = kC_AC_B k = 0.02 m³/mol.s

Assume that the mixture behaves like an ideal gas.The inlet molar flow rates of the reactants A is 15 mol/s and reactant B is 65 mol/s. Inert material is present at a flow rate of 10 mol/s. The temperature is 800 K and the pressure is 1 bar.

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