#### Isothermal Batch Reactors: Screencasts

Overview of batch reactors and mole balances for them

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Explains how to set up material balances for batch reactors, semi-batch reactors, and CSTRs

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Setup for a multiple reaction process in an isothermal batch reactor.

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##### Important Equations:

Mass balances on components $$A$$ and $$B$$ in an isothermal batch reactor for the reaction $$A\rightarrow 2B$$: $\frac{dN_A}{dt}=-kc_A^nV$ $\frac{dN_B}{dt}=2kc_A^nV$where $$N_A$$ and $$N_B$$ are the number of moles of components A and B at time $$t$$, $$k$$ is the rate constant, $$V$$ is the volume of the reactor contents, and $$c_A$$ is the concentration of component A at time $$t$$. These equations are solved using the starting conditions in the reactor: $N_A=N_{A0}, N_B=N_{B0}\;\;at\;\; t = 0$

$N_A=c_AV\;\;\;\;N_B=c_BV$ $X=\frac{(N_{A0}-N_A)}{N_{A0}}$

where $$X$$ is the fractional conversion.

Percent conversion $$=100X$$