Q$3.$Consider a reaction where reactant A underdoes isomerization to $R,$ which is

virtually irreversible, and written as :

$AR$

It is known that the reaction follows first order kinetics. A and $R$ are liquids at room

temperature, and have high boiling points, i$.$e$.>200C.$

The following data are also available:

Activation energy of the reaction is $121kJmo{l}^{-1}.$

Heat of reaction is $83Jmo{l}^{-1}.$

The temperature dependent rate constant is given by Arrhenius' equation

with a value of $k_0$ equal to $2\mathrm{.}61{10}^{14}h{r}^{-1}.$

You have been tasked with providing the conversions that can be achieved at

temperatures of $150C,160C,170C,$ and $180C$ for this reaction using a

Constant Flow Stirred Tank Reactor $($CFSTR$).$

The volume of the tank is $100L.$ It is planned that pure $A,$ at the concentration of

$16mol{L}^{-1}$ will be fed through the system at a flow rate of $50Lh{r}^{-1}.$

$($a$)$ Calculate rate constants for all the temperatures and tabulate them.

$($b$)$ Starting with the mass balance $($design equation$)$ for a CFSTR calculate the

conversion achieved using the CFSTR system for the different operating

temperatures if the system were operated isothermally.

Consider a reaction where reactant A underdoes isomerization to $R,$ which is

virtually irreversible, and written as :

$AR$

$($Equation $1)$

It is known that the reaction follows first order kinetics. A and $R$ are liquids at room

temperature, and have high boiling points, i$.$e$.>200C.$

The following data are also available:

Activation energy of the reaction is $121kJmo{l}^{-1}.$

Heat of reaction is $83Jmo{l}^{-1}.$

The temperature dependent rate constant is given by Arrhenius' equation

with a value of $k_0$ equal to $2\mathrm{.}61{10}^{14}h{r}^{-1}.$

You have been tasked with providing the conversions that can be achieved at

temperatures of $150C,160C,170C,$ and $180C$ for this reaction using a

Constant Flow Stirred Tank Reactor $($CFSTR$).$

The volume of the tank is $100L.$ It is planned that pure A$,$ at the concentration of

$16mol{L}^{-1}$ will be fed through the system at a flow rate of $50Lh{r}^{-1}.$

$($a$)$ Calculate rate constants for all the temperatures and tabulate them.

$($b$)$ Starting with the mass balance $($design equation$)$ for a CFSTR calculate the

conversion achieved using the CFSTR system for the different operating

temperatures if the system were operated isothermally.