if the error in the mean residence time in CSTR is 0.2hr, what is the expected error in the reactor volume?
In order to understand this let us write the performance equation or the design equation of a CSTR
where V is the volume of the reactor
Fao is molar flow rate
Tau is the residence time
Cao is the initial concentration
Xa is the conversion of reactant, say reactant A
-ra = rate equation of the reaction
now from the design equation we can see that the residence time (Tau) is directly proportional to the volume
Hence since both are proportional
error in residence time will also be proportional
Hence the expected error in the reactor volume will also be 0.2 hr
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