We need to revisit our definition of conversion now that we have looked at reactive process, as this could lead to a degree of ambiguity.
The overall conversion ignores the fact that recycle is occurring and is calculated purely on the basis of the difference between the process inputs and outputs (i.e., "outside" the reactor/recycle).
The single-pass conversion is based on the difference between the reactor input and output (i.e. "inside" the reactor/recycle).
Perform reactive balances with recycle
Let's try one together...