cee111-fa03-final-nazaroff-exam - CE 111: ENVIRONMENTAL...

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CE 111: ENVIRONMENTAL ENGINEERING SAMPLE FINAL EXAM Page 1 (from Fall 2002) NAME GROUND RULES: This exam consists of 6 sets of questions/problems. You are permitted three sheets of notes, but otherwise the exam is closed-book/closed-note. Do your work on the paper provided. Be sure your name is on every page you submit, and that the problem number and your answer are clearly marked. The total score possible is 60 points, and the time allowed is 180 minutes. Use the time to maximize your score. If you need a conversion factor, or you are not clear about what a problem requires, ask. [ Hint: The final two pages of the exam contain many equations, conversion factors, etc. All are true. Some may be useful. ( Note : These pages reproduced the inside covers, both front and back, from the text. They are not reproduced in this sample.) ] GOOD LUCK! SCORE #1 (14 possible) _____________ #2 (12 possible) ____________ #3 (12 possible) ____________ #4 (8 possible) ____________ #5 (8 possible) ____________ #6 (6 possible) ____________ EXAM TOTAL (out of 60) Note: The overall average score for the 42 students who took this exam was 42.7 (71%). For the 31 undergraduate students the average score was 40.0 (67%). COURSE SCORE (%) COURSE GRADE Your “course score” is the weighted average of the percentage of possible points you achieved during the semester. The relative weights and your scores are indicated below: element weight (%) your score (%) assignments 25 _______ midterms 30 _______ final exam 45 _______
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CE 111: ENVIRONMENTAL ENGINEERING SAMPLE FINAL EXAM Page 2 (from Fall 2002) 1. WARM-UP EXERCISES (14 points; 2 each) (a) Fick’s law in one dimension is J = - D dC/dx. Define each of the variables in the equation (J, D, C, and x) and give the associated dimensions. (b) Darcy’s law in one dimension can be written U = -K dh/dl. Define each of the variables in the equation (U, K, h, and l) and give the associated dimensions. (c) Particle-laden water enters a gently stirred CMFR. Within the CMFR, particles that settle to the bottom remain there. The CMFR volume is V and the water flow rate through it is Q. The CMFR is in the shape of a right-circular cylinder with its axis oriented vertically, such that V = AH where H is the height of water and A is the cross-sectional area. All particles have the same settling velocity v t . For a long period prior to the time of interest, the inlet particle concentration was C 1 , and the system was at steady state. Then, at t = 0, the inlet particle concentration is suddenly increased to C 2 . What is the characteristic time required for the new steady-state condition to be established? (d) Wastewater is discharged at a point at the edge of a river. As the wastewater is transported by advection downstream, it mixes across the river by turbulent diffusion. The river has width W, mean water velocity U, and turbulent diffusivity ε . Determine the characteristic distance L downstream from the point of discharge at which the wastewater plume reaches
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cee111-fa03-final-nazaroff-exam - CE 111: ENVIRONMENTAL...

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