# Homework Help: Chemical Engineering Mass Balance with matrix

1. Feb 15, 2009

### gloryofgreece

1. The problem statement, all variables and given/known data

Ethane reacts with chlorine to make ethyl chloride and hydrogen chloride, and ethylene reacts with hydrogen chloride to form ethyl chloride.

C2h6+ Cl2 > C2H5Cl + HCL
C2H4 + HCl > C2H5Cl

I post an image of flow chart and rest of description

Based on my reading, all of unreacted ethane is removed along with ethyl chloride...

2. Relevant equations

C2h6+ Cl2 > C2H5Cl + HCL
C2H4 + HCl > C2H5Cl

3. The attempt at a solution

I want to solve it in a matrix form, then do it in matlab. However I can not formulate my matrix....
I can see ethane being limiting reagent

m1 = feed stream contain ethane and ethylene
R = recycle stream
m3 = feed stream of Cl2
m4 = ethyl chloride formed from 1st reaction (ethane + cl2)
m5 = ethyl chloride formed from 2nd rxn (C2H4 + HCl > C2H5Cl)

This is my attempt; I understand I will have to simplied it to matrix form first.

for ethane
0.5 m1 - 0.95 (.5 m1) - m4 = 0

for ethylene
x = molar ration of ethylene

0.5 m1 + xR - 0.5 (0.5m1 + xR) -m5 =0

Am I on the right track?

My question is

How do i determine the composition of R?

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