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To find the CSTR design equation we begin with the general mole balance:
Assuming that the tank is well mixed and the reaction rate is constant throughout the reactor the mole balance can be written:
This equation can then be rearranged to find the volume of the CSTR based on the flow rates and the reaction rate:
Since FA is the conversion, X, times the entering flow rate, FAo, the equation can be rewritten:
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