ING$102$V$/5/$SEMR$1/19/20($ hand$-$out

The fresh feed to the process $(75\mathrm{.}16$mol$\%$ Hydrogen, $24\mathrm{.}57$mol$\%$ Nitrogen and $0\mathrm{.}27$mol$\%$

Argon$)$ is mixed with the recycle flow before entering the reactor. Analysis shows that the

reactor feed is $79\mathrm{.}52$ mol$\%$ Hydrogen Hydrogen and Nitrogen react in the reactor to give

Ammonia according to the equation

$3H_2+N_{2}clyst2N{H}_3$

After leaving the reactor the gases pass to the Ammonia separator that removes all the

Ammonia formed in the reactor. After the separator the stream contains $80\mathrm{.}01$mol$\%$

Hydrogen. Part of this stream is purged and the remainder mixed with fresh feed before

entering the reactor.

a$)$ Draw a diagram of the system, number all the stream flowrates $($i$.$e$.F_1,F_2,F_3$ etc$)$ and label

all the compositions in each stream. Use the following notation in the subscripts to denote the

compositions: $H$ for hydrogen, $N$ for nitrogen, A for argon and $M$ for ammonia $($i$.$e$.$ Wh for

the mol fraction of hydrogen in stream $F2$ and $W_{N2}$ for nitrogen in stream $2$ etc.

b$)$ Assuming the conversion of hydrogen in the reactor is $"f",$ write the material balance around

reactor for the following compositions:

$($i$)$ Hydrogen

$($ii$)$ Nitrogen

$($iii$)$ Argon

$($iv$)$ Ammonia

c$)$ If the flow rate of the recycle stream is $900mol{s}^{-1}$ determine the flow rate of the fresh feed

and the reactor feed.