Recall that the CSTR is modeled as being well mixed such that there are no spatial variations in the reactor. For the general reaction,
the CSTR mole balance Equation (1-7) can be arranged to
We now substitute for FA in terms of FA0 and X
and then substitute Equation (2-12) into (2-11)
Simplifying, we see that the CSTR volume necessary to achieve a specified conversion X is
Because the reactor is perfectly mixed, the exit composition from the reactor is identical to the composition inside the reactor, and the rate of reaction is evaluated at the exit conditions.
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