Sizing a CSTR for transesterification reaction

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To size a Continuous Stirred Tank Reactor (CSTR) for the transesterification of triglycerides into methyl esters, it is essential to account for the three reversible reaction steps involving triglycerides, diglycerides, and monoglycerides. The user has the reaction rate constants but is uncertain about integrating the multi-step and reversible aspects into a single model. A mass balance for each species in the reactor is crucial for determining the reactor volume and operational parameters. The discussion seeks guidance on formulating these mass balance equations effectively. Properly addressing these equations will facilitate accurate sizing of the CSTR for optimal biodiesel production.
Jack Thompson
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Hi,

I need to size a CSTR for the transesterification of tri-glycerides into methyl esters (bio-diesel) by reaction with methanol and NaOH catalyst.

The transesterification reaction taken place in 3 reversible steps:
TG + CH3OH <--> DG + ME
DG + CH3OH <--> MG + ME
MG + CH3OH <--> C3H8O3 + ME

Where: TG = Triglyceride DG = Di-Glyceride MG = Monoglyceride ME = Methyl Esters

I have the reaction rate constants for each of the forward and reverse reactions, however, I'm stuck there.
I know how to size a multi-step CSTR or a reversible reaction CSTR but not a combination of the two.

Please help!
 
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Let's see your mass balance equations for all the species in the reactor
 
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