alicylic acid is reacted with acetic anhydride to form

acetylsalicylic acid $($aspirin$)$ and acetic acid according to the

reaction:This reaction is to be conducted in an ideal plug flow reactor

operating in isothermal mode at $90\backslash$deg C$.$ The reaction is second order

$($first order with respect to each starting component$)$ and the value

of the rate constant is$0\mathrm{.}30$ L mol$-1$h$-1.$ The initial concentrations

of salicylic acid, acetic acid and acetic anhydride are $2\mathrm{.}8,2\mathrm{.}8$

and $4\mathrm{.}2$ mol L$-1$respectively.$($a$)$Derive the design performance equation for the reactor

described.$($b$)$If the PFR has a residence time of $2$ hours, what will be the

concentrations of each component exiting the reactor $?($c$)$What residence time would be required to achieve a conversion

rate of $95\%$ of the salicylic acid $?2.$A solution of an ester is to be hydrolysed with an excess of

caustic soda solution. Two stirred tanks of equal size will be

used. The ester and caustic soda solutions flow separately into

tank $1$ at the rates of $0\mathrm{.}004$ and $0\mathrm{.}001$ m$3$s$-1$and with a

concentrationof $0\mathrm{.}02$ and $1\mathrm{.}0$ kmol m$-3$respectively.The reaction is

second order $($first order with respect to each reactant$)$ and the

rate constant is $0\mathrm{.}033$ m$3$kmol$-1$s$-1$at the operating temperature.

Determine the volume required to achieve a $95\%$ conversion of the

ester.

Salicylic acid is reacted with acetic anhydride to form acetylsalicylic acid $($aspirin$)$ and acetic acid according to the reaction:

This reaction is to be conducted in an ideal plug flow reactor operating in isothermal mode at $90C.$ The reaction is second order $($first order with respect to each starting component$)$ and the value of the rate constant is $0\mathrm{.}30Lmo{l}^{-1}{h}^{-1}.$ The initial concentrations of salicylic acid, acetic acid and acetic anhydride are $2\mathrm{.}8,2\mathrm{.}8$ and $4\mathrm{.}2mol{L}^{-1}$ respectively.

QUESTION $4$ CONTINUES OVER

EG$-204$ Reactor Design I

Tutorial Sheet #$3$

$2024$

$4.$ Cont...

$($a$)$ Derive the design performance equation for the reactor described.

$[15$ marks$]$

$($b$)$ If the PFR has a residence time of $2$ hours, what will be the concentrations of each component exiting the reactor?

$[7$ marks$]$

$($c$)$ What residence time would be required to achieve a conversion rate of $95\%$ of the salicylic aci

Salicylic acid is reacted with acetic anhydride to form acetylsalicylic acid $($aspirin$)$ and acetic acid according to the reaction:

This reaction is to be conducted in an ideal plug flow reactor operating in isothermal mode at $90C.$ The reaction is second order $($first order with respect to each starting component$)$ and the value of the rate constant is $0\mathrm{.}30Lmo{l}^{-1}{h}^{-1}.$ The initial concentrations of salicylic acid, acetic acid and acetic anhydride are $2\mathrm{.}8,2\mathrm{.}8$ and $4\mathrm{.}2mol{L}^{-1}$ respectively.

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