Levenspiel plot
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A Levenspiel plot is a plot used in chemical reaction engineering to determine the required volume of a chemical reactor given experimental data on the chemical reaction taking place in it. It is named after the late chemical engineering professor Octave Levenspiel.
A Levenspiel plot is a plot used in chemical reaction engineering to determine the required volume of a chemical reactor given experimental data on the chemical reaction taking place in it. It is named after the late chemical engineering professor Octave Levenspiel.
Derivation
For a continuous stirred-tank reactor (CSTR), the following relationship applies: V = F_{Ao} \left ( \frac{1} {-r_A} \right ) X where: V is the reactor volume F_{Ao} is the molar flow rate per unit time of the entering reactant A X is the conversion of reactant A -r_A is the rate of disappearance of reactant A per unit volume per unit time For a plug flow reactor (PFR), the following relationship applies: V = F_{Ao} \int_0^X \frac{1} {-r_A} dX If F_{Ao} \over -r_A is plotted as a function of X , the required volume to achieve a specific conversion can be determined given an entering molar flow rate. The volume of a CSTR necessary to achieve a certain conversion at a given flow rate is equal to the area of the rectangle with height equal to F_{Ao} \over -r_A and width equal to X . The volume of a PFR necessary to achieve a certain conversion at a given flow rate is equal to the area under the curve of F_{Ao} \over -r_A plotted against X .
References
Text derived from https://en.wikipedia.org/w/index.php?oldid=1344282546 under CC BY-SA 4.0; modifications have been made.