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# Homework 2 Mathcad Problem 123[1] - 20 4523 53 4523 73 1...

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Page | 1 /2 Homework Assignment Mathcad #2 CHE 1510 Computer Applications STATEMENT#1 These are the mass balances at a split second for 3 different tanks in a chemical plant, where X i denotes the mass for the component “i” in kg/liter. The numbers in front of X is the flow rate (liter/second). The answer (on the right side of the equal sign) is the accumulation of mass in each tank at the split moment. Tank 1) 27 2 10 3 2 1 = - + X X X Tank 2) 5 . 61 2 6 3 3 2 1 - = + - - X X X Tank 3) 5 . 21 5 3 2 1 - = + + X X X P1: For the system above, determine x 1 , x 2 and x 3 . STATEMENT#2 At your new position as a specialist in chemical modeling you have been asked to find temperatures along a heated rod. You started to browse in an old chemical engineering book and found the following:

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Unformatted text preview: 20 4523 . 53 4523 . 73 1 . 1 . +-=-x x e e T (2) 2 1 1 2 2 2 x T T T dx T d i i i Δ +-=-+ If Δ x = 2 and by collecting the terms and substitution of the parameters this equation gives: (3) 8 . 04 . 2 1 1 =-+-+-i i i T T T Which leads to the final relationships: 8 . 40 04 . 2 2 1 =-T T 8 . 04 . 2 3 2 1 =-+-T T T 8 . 04 . 2 4 3 2 =-+-T T T 8 . 200 04 . 2 4 3 = +-T T P2: Solve the system and find the temperatures (T 1 thru T 4 ) along the heated rod. P a g e | 2 /2 STATEMENT#3 The heating along the rod was later found to approximately follow this equation: 1611 . 38 90435 . 13 ) ( + = x x T P3: Show in a graph the temperature of the rod between x=0 to x=10....
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