CIVE 4179 HW2 solns

# Urban due to atmospheric pollution and without

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Urban: Due to atmospheric pollution and without washing streets and parking lot… will cause FF when the rain Problem #5 1) nonparametrically: Median = 1.27 mg/L 90 th percentile = 3.2 mg/L 95 th percentile = can’t be estimated nonparametrically or parametrically without extra-polation (low confidence); but X 95th is likely greater than 3.2 mg/L

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2) Normal distribution: Median = 1.45 mg/L 90 th percentile = 2.52 mg/L=> 1.45 + 1.28(0.839) 95 th percentile = 2.83 mg/L => 1.45 + 1.645(0.839) Natural logarithm (base e) 3) Log normal Distribution (we can use logarithm base 10 or base e) Median = 1.27 mg/L 90 th percentile = 2.61 mg/L 95 th percentile = 3.21 mg/L => 2 year normal -> 1.45 mg/L p = 0.5 X = 1.45+(0) σ = 1.45 mg/L lognormal -> 1.26 mg/L p = 0.5 X= e [0.232+(0) σ ] = 1.26 mg/L 10 year normal -> 1.45 mg/L p = 0.9 X = 1.45 + 1.282(0.839) = 2.53 mg/L lognormal -> 1.26 mg/L p = 0.9 X = = 2.61 mg/L 25 year normal -> 2.98 mg/L p = 0.96 X = 1.45+ 1.82(0.84) = 2.98 mg/l lognormal -> 3.43 mg/L p = 0.96 X = e [0.232 + 1.761(0.568)] = 3.43 mg/l (or logarithm base 10)
Year of samplin g X, EMC mg/l Pb Log X Order of magnitud e, M p=100M/ (N+1) (Xi-µ) 2

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1997 1.41 0.14921 9 6 60 0.00184 9 1998 2.24 0.35024 8 8 80 0.61936 9 1999 1.1 0.04139 3 4 40 0.12460 9 2000 0.9 - 0.04576 3 30 0.30580 9 2001 1.27 0.10380 4 5 50 0.03348 9 2002 1.72 0.23552 8 7 70 0.07128 9 2003 3.2 0.50515 9 90 3.05200 9 2004 0.5 - 0.30103 1 10 0.90820 9 2005 0.74 - 0.13077 2 20 0.50836 9 Mean (µ) 1.45333 3 (averag e) median 1.27 standard deviation 0.83852 6 90% 2.5282 95% 2.8348 logarithmic mean 0.10086 5 Longest return period is Tr=1/p=100/p(%)(year)= 1/0.1 = 100/10=10 years Dear my students, For the First Midterm Exam, yould should review: - all the concepts and definition (terminologies) in chapter 1,2,3 with attention to: NPS, variables/parameters and criteria/standard of water quality, unit load, formulas for calculation of different loads. For problems, you should study Box 3.1 in textbook and redo the problem: calculation of load from impervious areas.
for the exam, you should bring with you at least 3 additional pages of blank paper and calculator. Have a good exam.
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• Spring '12
• williamelliot
• Logarithm, 2 year, 45 mg, 14 mg, 62 mg, 3.21 mg

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