Assignment $1$: Design of batch processes

Process description

A batch process is operated with the following sequence. The feed to the batch process

temperature of the solution is sufficient, A and $B$ will react to form $P($the desired product$)$:

$A($eth$)+B($eth$)P(s),H_{\text{r}\text{e}\text{a}\text{c}\text{t}}=-250k\frac{J}{m}ol$

Note that the product $P$ is sparingly soluble in ethano,

the reaction solution. It can be assumed that the reaction rate is first$-$order in both the

concentration of $A(c_A)$ and $B(c_B),$ and so second$-$order overal.

$-r_A=k{c}_A{c}_B$

The batch process consists of the following FOUR steps:

Initially, the tank is empty.

Fill tank with solution $($ethanol$/$A$/$B$).$ Increase temperature of the feed from $20C$ to $50C(1$ hour$)$

Reaction takes place isothermally at $50C(4$ hours, to give conversion of $50\%)$

Filtration of reaction solution to give product $P(2$ hours$)$

Drying with hot nitrogen gas followed by the removal of powder product $(3$ hours$)$