3. A carbon dioxide (CO2) stream contaminated with propane (C3H8) enters an extr

Question

3. A carbon dioxide (CO2) stream contaminated with propane (C3H8) enters an extractor and is contacted with methanol (MeOH) vapor. MeOH and CO2 are immiscible. CO2 with a small amount of C3H8 exits the process, and MeOH vapor containing most of the C3H8 is fed to a condenser. The condenser recovers pure liquid MeOH, and a vapor stream containing both MeOH and C3H8 also exits the process. All known molar flow rates and compositions are labeled on the diagram below. In addition, two process specifications are known:

PS1: nL=25(nC3H8,V+nMeOH,V)

PS2: nC3H8,V=1.13(nMeOH,V)

a. Write mole balances for CO2, MeOH, C3H8, and the total mole balance for the overall process only.

b. Write an equation in matrix form to solve for nCO2,out, nC3H8,out, nC3H8,V, nMeOH,V, nL. This should be of the form (coefficient matrix) x (variable matrix) = (constant matrix).

c. In an Excel spreadsheet, calculate the inverse of the coefficient matrix and calculate the solution to the problem. d. In the Matlab command window, enter the coefficient and constant matrix, and calculate the matrix inverse and the solution

Explanation / Answer

I´ll answer the first question, if you want the others anwer, attach them in a new question.

a)

CO2+CH3OH+C3H8--->C5H12O3

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