Can you solve part C as well

Adlabatlc Reactors with Interstage Heating.

The gaseous phase elementary reversible reaction $A+BC+D$ takes place in an adiabatic plug flow reactor. The inlet consists only of the two reactants at the stoichiometric molar flowrate ratio between them and the inlet temperature is $800K.$ The reaction enthalpy at $298K$ is equal to $H_R=90kJmo{l}^{-1}$ and the chemical reaction equilibrium constant at $298K$ is equal to $1{10}^{-7}.$ The average specific molar heat capacities of the reaction mixture components are: $C_{PA}=120Jmo{l}^{-1}{K}^{-1},CPg=80Jmo{l}^{-1}{K}^{-1},CPC=140Jmo{l}^{-1}{K}^{-1}$ and CPO$=60Jmo{l}^{-1}{K}^{-1}.$

a$)$ Calculate the equilibrium conversion at various reaction temperatures in the range of $300800K.$

Describe the calculation method, showing equations used.

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Ii$.$ Tabulate the results, including equilibrium constants, and plot the results, as graph of equilibrium conversion against temperature.

b$)$ For the reaction system considered, formulate the energy balance equation in the adiabatic reactor and rearrange it in such a way that it can be plotted on a diagram of conversion versus temperature. Draw the operating line, i$.$e$,$ rearranged energy balance equation, on the Conversion vs$.$ Temperature diagram drawn in a$)$ and find the adiabatic equilibrium temperature and adiabatic equilibrium conversion.

$[10]$

c$)$ In order to reach a minimum required conversion of $85\%,$ a series of adiabatic reactors is used with interstage heating. In each adiabatic reactor, when the conversion reaches a value of $90\%$ of the corresponding adiabatic equilibrium conversion, the reaction mixture is heated via interstage heating to the original inlet temperature of $800K$ and then is fed into a number of adiabatic reactors connected in series until the required minimum conversion is reached

In the conversion vs temperature diagram from a$),$ draw the operationat lines of each interstage heating, as well as of each adiabatic reactor, For each adiabatic reactor,