The particles created at the conclusion of the rapid mix step associated with the alum addition in problem 2 have an average diameter of 20 µm and specific gravity of 2.0. During flocculation, the size increases to 75 µm, but the more open aggregate structure decreases the specific gravity to 1.9. The water temp is 18 °C. Calculate the settling velocity of both particles. How does the change in particle properties impact the settling velocity? Make sure to check the Reynolds Number.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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1. Based on the following water composition, determine the alkalinity, total hardness and
carbonate hardness in units of mg/L CaCO3. (Note: you may want to refer back to our notes on
units and recall that CaCO3 has 2 eq/mol.)
lon
Conc. (mg/L)
MW (g/mol) Equiv.
Ca2+
30
Mg2+
10
Na
12
CI-
11
Alk (HCO₂) 110
40
24.3
23
35.5
61
Conc. (meq/l)
20
1.5
12.15 0.823
23
0.5217
35.5 0.30985
61
1.80327
Conc (mg/L as
CaCO3)
75
41.15
26.085
15.4925
90.1635
Transcribed Image Text:1. Based on the following water composition, determine the alkalinity, total hardness and carbonate hardness in units of mg/L CaCO3. (Note: you may want to refer back to our notes on units and recall that CaCO3 has 2 eq/mol.) lon Conc. (mg/L) MW (g/mol) Equiv. Ca2+ 30 Mg2+ 10 Na 12 CI- 11 Alk (HCO₂) 110 40 24.3 23 35.5 61 Conc. (meq/l) 20 1.5 12.15 0.823 23 0.5217 35.5 0.30985 61 1.80327 Conc (mg/L as CaCO3) 75 41.15 26.085 15.4925 90.1635
2. Jar testing conducted with the water described in problem 1 determined an optimum alum dose
of 20 mg/L for particle removal. Based on this alum dose, determine (a) the amount of natural
alkalinity (mg/L as CaCO3) consumed, (b) the amount of alkalinity remaining, and (c) the amount
of alum required (kg/yr) if the treated flow is 10 MGD.
3. The particles created at the conclusion of the rapid mix step associated with the alum addition
in problem 2 have an average diameter of 20 μm and specific gravity of 2.0. During flocculation,
the size increases to 75 µm, but the more open aggregate structure decreases the specific
gravity to 1.9. The water temp is 18 °C. Calculate the settling velocity of both particles. How
does the change in particle properties impact the settling velocity? Make sure to check the
Reynolds Number.
Transcribed Image Text:2. Jar testing conducted with the water described in problem 1 determined an optimum alum dose of 20 mg/L for particle removal. Based on this alum dose, determine (a) the amount of natural alkalinity (mg/L as CaCO3) consumed, (b) the amount of alkalinity remaining, and (c) the amount of alum required (kg/yr) if the treated flow is 10 MGD. 3. The particles created at the conclusion of the rapid mix step associated with the alum addition in problem 2 have an average diameter of 20 μm and specific gravity of 2.0. During flocculation, the size increases to 75 µm, but the more open aggregate structure decreases the specific gravity to 1.9. The water temp is 18 °C. Calculate the settling velocity of both particles. How does the change in particle properties impact the settling velocity? Make sure to check the Reynolds Number.
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