The ammonia synthesis reaction is given by

$0\mathrm{.}5N_2(g)+1\mathrm{.}5H_2(g)N{H}_3(g),H_r^2(25C,1(atm))=-46k\frac{J}{m}ol$

The ammonia synthesis loop is shown in the block flow diagram $($see supplementary booklet$).$ A

mixture $($stream $1)$ of $N_2(100$kmo$\frac{l}{h})$ and $H_2(300$kmo$\frac{l}{h})$ enter the adiabatic Reactor $1$ at a

temperature of $425C.$ The conversion in reactor $1$ is $10\%.$ The outlet of reactor $1($stream $2)$ is

mixed with fresh feed $($stream $3).$ The fresh feed is a mixture of $25mo{l}_N{N}_2$ and $75$mol$\%H_2$ at

$25C.$ The mixed stream $($Stream $4)$ which is at a temperature of $425C,$ is fed to adiabatic Reactor

The outlet of Reactor $2($stream $5)$ which is at $547C,$ is sent to a separator and heat exchanger

block where a refrigeration cycle condenses pure ammonia which is recovered as a liquid at $-50$

$C($stream $6).$ For all calculations and for all components, use the following reference state:

$($compound$,25C,1$atm, gas$)$

Useful Info:

Molar specific heat $($Cp$)$ for all gases: $30\frac{J}{m}$olK

Molar specific heat $($Cp$)$ for liquid ammonia: $80\frac{J}{m}$olK

$T_b($ Ammonia$)=-33\mathrm{.}34C$

a$)$ What is the extent of reaction in reactor $1?[3$ MARKS$]$

b$)$ Calculate the temperature and molar flow of all species in stream $2.$ Complete the stream

table for stream $2.[4$ MARKS$]$

c$)$ Calculate the molar flow rate of stream $3.$ Complete the stream table for stream $3.[4$

MARKS$]$

d$)[$CHALLENGE PROBLEM$]$: Calculate the molar flow rate of the three gases in stream $5$

and complete the stream table. $[10$ MARKS$]$

e$)[$CHALLENGE PROBLEM$]$: By showing appropriate mass and energy balance, calculate

the heat added$/$removed to the separator &heat exchanger block. $[9$ MARKS$]$