3) In the plant represented by the process flow diagram below, the following reaction occurs in the reactor: AB The fresh feed F contains A and some inert material (mole fraction xi ). The separation system removes B completely from the reactor effluent. The recycle stream coming from the separator contains A and the inert material, but all of the inert material is removed in the purge stream. The product P is impure, with a mole fraction xA of A in the stream. a) Suppose that the fresh feed contains 1.5 mole\% inert material and the feed to the reactor is fixed at 4.5mole% inert. If the ratio R/F=3.0, what is the ratio of purge to feed (S/F) ? b) Is the mole fraction of inert greater in the recycle stream or in the reactor effluent? Explain. c) Why is the purge not removed directly from the reactor effluent