Problem Set 1 Solutions

# Problem Set 1 Solutions - kg 2.2lb 5 C lb 2.54cm 12in...

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R ft lb R C kg lb g kg ft in in cm C cm g 3 3 3 3 0293 . 0 9 5 * 2 . 2 * 1000 * 12 * 54 . 2 * 00086 . 0 =

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2. 1.24 From Himmelblau (9 points total) The left hand side has units of 1/length and x/a is dimensionless so that the third answer is correct. Explanation: + 2 2 a x dx (a) x has a unit of length, a , a constant should carry the unit of length too from the expression 2 2 1 a x + . The left hand side of the equation (a) carries the unit of 1/length. The term inside the arctan should not have a unit to it, therefore, arctan (x/a) is the correct term, since the unit from x and a cancel out in x/a. Examining the overall equation, the unit on the right hand side should be consistent with the unit from the left hand side. 1/a arctan (x/a) + constant is the proper answer.

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4. From Felder and Rousseau

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5. From Felder and Rousseau (This is plotted on rectangular coordinates) 0.1 1 0 50 100 150 200 Time (min) (Ca-Cae)/(Ca0-Cae) (This is a semilog plot) 2.34 (b) Given that V = 30.5 gal, first calculate C A at 120 min, then performing mass balance to find the weight of B produced. ( 29 ( 29 ( 29 g gal gal L L g L g C C V C g B L g e L g L g L g C e C C C C kt C C C C A A B A kt Ae A Ae A Ae A Ae A 3 . 10 5 . 30 17 . 264 1000 ) / 0930 . 0 / 1823 . 0 ( * ) ( / 0930 . 0 ) / 0495 . 0 / 1823 . 0 ( / 0495 . 0
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