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WSE4801 Assignment 01 Solutions Semester 1 2024 $8.86   Add to cart

Exam (elaborations)

WSE4801 Assignment 01 Solutions Semester 1 2024

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Water and Sanitation Engineering

Assignment 1 Answers

Semester 1 2024
08 APRIL 2024
DUE DATE




0027 65 934 4052

,
,
, 1. Given that the discharge decreased from 50 m3/s after 10 days to 25 m3/s after

an additional 30 days, the expected flow on day 120 is calculated as follows;



𝑄0 = 50𝑚3 /𝑠 (Initial discharge)

𝑄1 = 25𝑚3 /𝑠 discharge after 30 days

𝑡1 = 10 𝑑𝑎𝑦𝑠

𝑡2 = 40 𝑑𝑎𝑦𝑠

𝑡3 = 120 𝑑𝑎𝑦𝑠

𝑸𝟏 = 𝑸𝟎 𝒆−𝒌(𝒕𝟐 −𝒕𝟏 )

25 = 50𝑒 −(40−10)𝑘

25
= 𝑒 −30𝑡
50

ln(0.5) = −30𝑘 ln 𝑒 (ln 𝑒 = 1)

ln(0.5)
𝑘=
−30

𝑘 = 0.023



Discharge on day 120 (𝑄2 ) is given by;

𝑸𝟐 = 𝑸𝟏 𝒆−(𝟎.𝟎𝟐𝟑)(𝒕𝟑 −𝒕𝟐 )

𝑄2 = 25𝑒 −(0.023)(120−40)

𝑄2 = 25𝑒 −1.84

𝑄2 = 3.97 𝑚3 /𝑠

The expected flow on day 120 is 3.97 m3/s.

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