Problem $4$: Residence time

You are asked to select and size reactors to isothermally carry out a liquid phase,

irreversible, reaction A $->$ B with the following kinetics: $-$rA $=$ kcA$2$ where k $=0\mathrm{.}2$ L$/$

$($mol$*$min$).$

a$.$ Starting with a mole balance $($and assumptions$),$ calculate the time that it would

take a batch reactor to process your feed to achieve $95\%$ conversion. The batch

reactor is initially charged with $10$ mol of pure A and the reactor size is $2$L$.[20$

min$]$

b$.$ Starting with a mole balance $($and assumptions$),$ calculate the residence time it

would take a PFR to process your feed to $95\%$ conversion. The PFR has an inlet feed of pure A at a rate of $10$ mol$/$min and the volumetric flow rate is $2$L$/$min$.$

$[20$ min$]$

c$.$ Compare your results in parts A and B and explain their relationship.

d$.$ Starting with a mole balance $($and assumptions$),$ calculate the volume it would

take for a CSTR to process your feed $($from part B$)$ to achieve $95\%$ conversion.

$[800$ L$].$

Problem $4$: Residence time

You are asked to select and size reactors to isothermally carry out a liquid phase,

irreversible, reaction $AB$ with the following kinetics: $-r_A=k{c}_A^2$ where $k=0\mathrm{.}2\frac{L}{?}$

$(\{$:$mo{l}^{**}$min$).$

a$.$ Starting with a mole balance $($and assumptions$),$ calculate the time that it would

take a batch reactor to process your feed to achieve $95\%$ conversion. The batch

reactor is initially charged with $10$mol of pure A and the reactor size is $2$L$.[20$

min $]$

b$.,$ Starting with a mole balance $($and assumptions$),$ calculate the residence time it

would take a PFR to process your feed to $95\%$ conversion. The PFR has an inlet

feed of pure $A$ at a rate of $10mo\frac{l}{m}in$ and the volumetric flow rate is $2\frac{L}{m}in.$

$[20$ min$]$

c$.$ Compare your results in parts A and B and explain their relationship.

d$.$ Starting with a mole balance $($and assumptions$),$ calculate the volume it would

take for a CSTR to process your feed $($from part B$)$ to achieve $95\%$ conversion.

$[800$ L$]$