In this exercise you have to solve the mass balance for the following flowsheet of a gas phase reaction

The following equations should be used.

Reactor

For each component $i$

Page $3$ of $5$

o Department of Chemical Engineering, University College London, $2024$

Separator $1_{?}$

Assume all $C{O}_2,C{H}_4,CO,H_2$ and $N_2$ go into stream $5\mathrm{.}99\%$ of $H_{2}O$ and $96\%$ of $C{H}_{3}OH$ go into the product

stream.

Sepsator $2$

$10\%$ of stream $5$ is purged in stream $7.$

PART A: Write the mass balance for this problem and submit it as a part of the report. Carry out degrees of

freedom analysis and if it is not zero then make it zero by specifying some variables or removing some

specification. Submit degrees of freedom analysis in the report.

PART B: Sequential Modular Process Flowsheeting $-$ using GAMS as a programming tool $[15]$

I Solve the problem by using GAMS by using $-$ stream $6$as the torn stream. Plot $,$ the error, as a

function of iteration counter $k,$ where

$={\displaystyle \underset{i=1}{\overset{7}{}}}(F_6^{k+1}(i)-F_6^k(i){)}^2$

where $F_6^k(i)$ denotes the flowrate of component $i$ in stream $6$ computed in iteration number $k.$

In this case you could define the unknown variables as PARAMETERS in GAMS. To start the calculations,

guess initial values for stream $6$ component flowrates and then sequentially calculate the remaining stream

component flowrates. Prepare a short report containing the plot mentioned above and the values of the

converged flowrates of all the components in all the streams. Decide a sensible value of $$ as the convergence

criteria $-$ if you can not decide, then try different values and discuss your observations in the report.

Provide the GAMS $(.$gms$)$ code in the report. Also upload the GAMS $($gms and $.$lst$)$ files separately in the

zipped$/$compressed folder.

PART C: Equation Oriented Process Flowsheeting $-$ using GAMS as a modelling tool

Resolve this problem using an Equation Oriented approach in GAMS using the CNS solver. Provide the GAMS

$(.$gms$)$ code in the report. Also upload the GAMS $(.$gms and $.$lst$)$ files separately in the zipped$/$compressed

folder.

Part D: Sensitivity analysis

Once you have solved the problem in part $C$ above, analyse and discuss the effect of some of the parameters,

e$.$g$.,$ split fractions, extent of reactions, etc., on the component flowrates in the flow sheet. For example, is the

amount or purity of the product affected, how the component flowrates are affected, etc. Note that for the

discussion you may want to consider that higher component flowrates will require bigger sized equipments for

the unit operations, higher product purity will result in higher selling price of the product, etc. The parameters

and the values of the parameters to change for carrying out the sensitivity analysis have to be chosen by you.

GAMS codes for this part are not required to be submitted.