3. New reactor type! The design equation for a plug flow reactor with recycle is Xaf dxa V = (R + 1)F20 S = -ra R R+1*A,f where R is the recycle ratio, which is defined as molar ratio of the recycle stream to the product stream and xa,f is the conversion in the effluent (exit) stream of the recycle reactor. The first-order, homogeneous, liquid-phase reaction: A products, takes place in an isothermal ideal PFR with recycle. The rate constant is k=0.15 min?. The concentration of A in the fresh feed is 1.5 mol/L and the molar feed rate of A is 100 mol/min. a. If R = 1, what is the volume of the reactor required to achieve a fractional conversion, XAf of 0.9? > b. If R = 0, the design equation for an ideal PFR with recycle becomes that of an ideal PFR. What is the limiting behavior of an ideal PFR with recycle as R 00