# Parallel Nonisothermal Reactions in Batch and Semibatch Reactors

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The use of semibatch reactors can be advantageous when a reaction has unwanted side reactions or a high heat of reaction. This Demonstration compares the behavior of a batch and a semibatch reactor in which a complex nonadiabatic reaction takes place.

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Contributed by: Clay Gruesbeck (November 2017)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

The rate laws for the reactions are:

,

,

, and

where and are rates of reaction,

and are rate constants,

and are the concentrations of and ,

and is temperature.

The reactant and product concentrations and selectivity in the batch reactor are:

,

,

,

,

,

where , , and are the numbers of moles in the reactor,

and are the concentrations of the products,

is the time-dependent volume,

and is the selectivity of the desired product.

Material balances for the semibatch reactor when is fed into :

,

,

,

,

, and

,

where is the inlet volumetric flow rate,

is the concentration of in the feed,

is time,

and is the initial volume of the semibatch reactor.

The material balances when is fed into are the same except:

, and

,

where is the concentration of in the feed.

Material balances for the batch reactor are:

,

,

, and

.

Here the concentrations are:

= , = , = , and = .

Energy balance for the semibatch reactor is:

,

and for the batch reactor is:

where is the heat exchanger overall heat transfer coefficient,

and are the heat of reaction,

and are the constant temperatures of the heat exchanger and the feed to the semibatch reactor, respectively,

and , , etc. stand for heat capacities of the reactants.

Reference

[1] University of Colorado Boulder. "Selectivity in a Semibatch Reactor." (Nov 8, 2017) www.colorado.edu/learncheme/kinetics/SelectivitySemibatchReactor.html.

## Permanent Citation

"Parallel Nonisothermal Reactions in Batch and Semibatch Reactors"

http://demonstrations.wolfram.com/ParallelNonisothermalReactionsInBatchAndSemibatchReactors/

Wolfram Demonstrations Project

Published: November 15 2017