Styrene $(C8H8)$ is produced from dehydrogenation reaction of ethylbenzene $(C8H10)$ with the

present of catalyst.

A general procedure of producing it is as follows: A fresh feed stream consists of $C8H10$ and steam

$(H2O)$ at a mole ratio of $1$:$1$ is mixed with a recycle stream and enters a reactor $(R).$ The steam acts as

an inert and cleaning compound for the catalyst surface. The production process is designed for $70-$

$80\%$ overall conversion and single$-$pass conversion of $30-40\%.$ The reactor outlet stream enters a first

separator $($S$1)$ which produces $2$ streams. The first stream consists of $H2$ and $H2O$ is discarded for

further process, while the second stream consists of $C8H8$ and $C8H10$ enters a second separator $($S$2).$

The $S2$ produces $2$ streams, the first stream consists of $C8H8$ and $C8H10$ is collected as product while

the second stream consists of $90$mol$\%C8H10$ and the balance $C8H8$ is recycled and mixed with the

fresh feed stream in a mixer $($M$).$

Write a material balance proposal for the plant. The material balance proposal should consider the

following steps:

a$)$ A process flow diagram of the process and the chemical reaction involved.

b$)$ Evaluate material balance of the whole process by stating your own basis of calculation. This

include calculating all molar flow rates of the stream and compositions for each stream. Validate all

answer