Q$.$ I: The synthesis of aspirin $(ASA=C_9{H}_8{O}_4)$ takes place according to the following

reaction $($in the liquid phase$)$:

$+$

salicylic acid

$(C_4{H}_6{O}_3)$

$(C_7{H}_6{O}_3)$

$+H_3{C}^{-}O{H}_{\text{a}\text{c}\text{e}\text{t}\text{i}\text{c}\text{a}\text{c}\text{i}\text{d}}$

acetylsalicylic acid

$(C_2{H}_4{O}_2)$

$(C_9{H}_8{O}_4)$

The reaction is carried out in a batch reactor. After some time of reaction, the contents of

the reactor are discharged to a crystallizer to recover aspirin. Suppose that the reaction

is elementary with kinetic rate constant $k,$ and the reactor is isothermal with constant mass

density. If $k=0\mathrm{.}30\frac{l}{m}ol-h,$ and the initial concentrations of salicyclic acid $($SA$),$ acetic acid

$($ACA$),$ and acetic anhydride $($AA$)$ are $2\mathrm{.}8,2\mathrm{.}8,$ and $4\mathrm{.}2mo\frac{l}{l},$ respectively.

a$)$ Plot $C_{SA}$ versus time.

b$)$ What will be the concentrations of $SA,AA,$ACA, and aspirin after $2$ hours?