Pure L enters the reactor–recycle process shown and partially converts to M. Recycle mass flow is 20% of product mass flow. Overall conversion of fresh L is 30%, at steady state. Find one-pass conversion of L through the reactor.
Choose fresh-feed mass F. Product mass is also F, containing 0.7F unreacted L and 0.3F M. The recycle has mass 0.2F and the same composition as product, so it returns 0.14F of L. Reactor L feed is therefore 1.14F, and its L consumption is 0.3F. One-pass conversion is $0.3/1.14=0.26316$, or 26.3%, C.
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