# HW10s10 - Two streams leave the unit each with varying...

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COLLEGE OF ENGINEERING THE UNIVERSITY OF TEXAS AT AUSTIN Department of Chemical Engineering•Austin, Texas 78712-1062•(512)471-5238•FAX(512)471-7060 ChE 210 Homework 10 Due: Wednesday, April 14 Working with Linear Equations and Matrices Solve the following problems at the command line prompt. Show steps that create variables and then use them in MATLAB assignment statements. Copy and paste your MATLAB work into a text editor so that you can add your name, class, and due date as a heading and problem numbers for each problem. Your homework must have only computer printed information. Any handwriting will cause a deduction in score. Staple multiple pages! 1. Compute the product A*B and B*A of the following two matrices: 2 4 1 3 5 3 8 2 4 6 12 2 A B - = = - 2. Consider a separation process in which a stream of water, ethanol, and methanol enters a process unit.

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Unformatted text preview: Two streams leave the unit, each with varying amounts of the three components. One can write the mass balance equations for the system on the following page: 2 Arrange these equations into a matrix representation and use MATLAB to solve the system for the unknows, x, m tops , and m bottoms . To identify your answers extract (using MATLAB) each unknown from the solution vector and using the variables x, tops, and bottoms. 3. An engineer wishes to balance the following chemical reaction: 1 2 4 2 4 3 2 4 4 5 3 4 x P I x P x H O x PH I x H PO + + → + Help them balance the equation by setting up the atom/species matrix, determining the rank to determine how many free variables there are, solving the resulting equations, and determining integer constants. Finally write out the equation with the determined stoichiometric constants in your text file....
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