CHE110-L03 - Solving Systems of Equations CHE110...

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Department of Chemical Engineering Solving Systems of Equations CHE110 Introduction to Programming & Problem Solving
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Department of Chemical Engineering Systems of Equations • Many engineering problems require solution of systems of equations . • Variables can be related in a linear or nonlinear fashion. – linear system direct solution – nonlinear system iterative solution # Equations = # Unknown Variables
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Department of Chemical Engineering Example Involving a Linear System of Equations Material Balance Around An Ethylene Oxide Plant REACTOR SEPARATOR 1 2 12 E 1 4 EO 2E O 2EO E3 O 2 C D2 W nn X 0.2 n n Y0 . 9 ξ ξ +→ + == 100 moles E 100 moles O 4 n m o l e s EO 7 3 5 5 o l e s E o l e s O o l e s CD o l e s W 24 2 2 2 KEY EC H OO EO C H O CD CO WH O = = = = = 6 o l e s E 1 n mo l e s E 100 moles O 2 3 4 5 5 o l e s E o l e s O o l e s o l e s o l e s W , ξ ξ 7 2 n 0.05 n = Determine unknown streams.
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Department of Chemical Engineering Linear System of Equations 123 12 3 13 x2 x 3 x 9 2x x x 8 3x x 3 ++= −+ =
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This note was uploaded on 03/08/2009 for the course CHE 101 taught by Professor Coronel during the Spring '06 term at Rose-Hulman.

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CHE110-L03 - Solving Systems of Equations CHE110...

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