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PS3_ChE 230_assign_10

PS3_ChE 230_assign_10 - T T C where dT T C p T T T p − ×...

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ChE 230 Spring 2010 Problem Set 3 – 01/28/10-02/04/10 1. Three matrices are defined as = 4 7 10 3 6 1 A = 4 1 0 6 B = 8 6 1 1 C a) Perform all possible matrix multiplications that can be computed between pairs of matrices. b) Justify why the remaining pairs can not be multiplied. c) Use the results of (a) to illustrate why the order of multiplication is important. 2. Solve the following set of equations using 2x -3 y + 4z = 10 5x + 2y +7z = 3 3x - 1y - 2z = -8 a) Naïve-Gauss method b) Gauss-Jordan method c) Inverse matrix method d) Polymath e) Mathcad 3. In evaluating the performance of a turbine, it is necessary to solve for the outlet temperature under reversible conditions. The equation that must be solved is: ( ) ( ) 2 5 2 5 4 282 6 2 4 282 573 10 65 3 11967 0 85 11 0204 0 225 0 69 26 0 T
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Unformatted text preview: T . T . . C where . . dT T C . p . . T . . T T p − × − + = ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ + − ∫ + = Determine the outlet temperature under reversible conditions using Polymath. [Do the indicated integration before applying Polymath.] 4. In predicting the scale-down performance of a condenser in which an organic is condensed using cooling water, the following equations must be solved simultaneously for M , the ratio of oil flow rate at the scaled-up case to the original case, and T 2 , the outlet temperature of the oil. ) T ( M 30 10 − = ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − − = T ln ) T ( M . . 150 120 30 85 54 8 Using Polymath and Mathcad, determine the values of M and T for a starting point of M = 1 and T = 50 o C....
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