Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators
description
Transcript of Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators
![Page 1: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/1.jpg)
Flow From a Faucet, Flushing a Service Line, 90th Percentile Lead and Copper Rule, Copper Sulfate Application Rates in Waterworks
Operation
Flow From a Faucet, Flushing a Service Line, 90th Percentile Lead and Copper Rule, Copper Sulfate Application Rates in Waterworks
OperationMath for Water Technology
MTH 082
Lecture Chapter 8&15- Applied Math for Water Plant Operators Water Sources and Storage (Chapter 8 pg 190-191)
Laboratory Ch 15 (pg 404-407); Hydraulics Chapter 7 Flow Rate- Basic science Concepts and
Applications (pg 311-319)
Math for Water TechnologyMTH 082
Lecture Chapter 8&15- Applied Math for Water Plant Operators Water Sources and Storage (Chapter 8 pg 190-191)
Laboratory Ch 15 (pg 404-407); Hydraulics Chapter 7 Flow Rate- Basic science Concepts and
Applications (pg 311-319)
![Page 2: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/2.jpg)
ObjectivesObjectives
1. Flow from a faucet
2. Flushing a service line
3. 90th percentile Lead and Copper
4. Copper Sulfate Application
1. Flow from a faucet
2. Flushing a service line
3. 90th percentile Lead and Copper
4. Copper Sulfate Application
Reading assignment: Chapter 8&15- Applied Math for Water Plant Operators Water Sources and Storage (Chapter 8 pg 190-191) Laboratory Ch 15 (pg 404-407); Hydraulics Chapter 7 Flow Rate- Basic science Concepts and Applications (pg 311-319)
Reading assignment: Chapter 8&15- Applied Math for Water Plant Operators Water Sources and Storage (Chapter 8 pg 190-191) Laboratory Ch 15 (pg 404-407); Hydraulics Chapter 7 Flow Rate- Basic science Concepts and Applications (pg 311-319)
![Page 3: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/3.jpg)
Conventional Treatment Conventional Treatment • Conventional Treatment – Where are these calculations applied in the big picture?• Conventional Treatment – Where are these calculations applied in the big picture?
2. Flocculation2. Flocculation
3. Sedimentation3. Sedimentation
4. Filtration4. Filtration1. Coagulation1. Coagulation
PretreatmentPretreatment
Raw WaterRaw Water
Rapid or flash Mixing
Alum, polymer
Rapid or flash Mixing
Alum, polymer
SlowSlowFastFast
SludgeSludgeWashwaterWashwater
5. Clear Well Disinfection5. Clear Well Disinfection
DistributionDistribution
ClearwellBackwash
pumps
ClearwellBackwash
pumps
ChlorinationOzone
UV
ChlorinationOzone
UV
Copper Sulfate Application
Faucet and Flushing
90th Percentile Lead and Copper
![Page 4: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/4.jpg)
Flow From a FaucetFlow From a FaucetFor small water systems: Record time it
takes to fill a one gallon bucket
Flow, gpm= Volume (gal)
Time (min)
Ideal flow rate is 0.5 gpm!
For small water systems: Record time it takes to fill a one gallon bucket
Flow, gpm= Volume (gal)
Time (min)
Ideal flow rate is 0.5 gpm!
0.5 gallons0.5 gallons
![Page 5: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/5.jpg)
The flow from a faucet filled up a 1 gallon container in 45 seconds. What was the
gpm flow rate from the faucet?
The flow from a faucet filled up a 1 gallon container in 45 seconds. What was the
gpm flow rate from the faucet?
0.0
2 gpm
0.7
5 gpm
1.3
gpm
270
0 gpm
7%0%
93%
0%
sec= 45 seconds = 45 sec/60sec/min=0.75 min
Flow, gpm= Volume (gal) Time (min) Flow, gpm = Vol (gal)
0.75 (min)
Flow, gpm = 1 (gal)0.75 (min)
Flow, gpm= 1.3 gpm
sec= 45 seconds = 45 sec/60sec/min=0.75 min
Flow, gpm= Volume (gal) Time (min) Flow, gpm = Vol (gal)
0.75 (min)
Flow, gpm = 1 (gal)0.75 (min)
Flow, gpm= 1.3 gpm
Given
Formula
Solve:
Given
Formula
Solve:
1. 0.02 gpm
2. 0.75 gpm
3. 1.3 gpm
4. 2700 gpm
1. 0.02 gpm
2. 0.75 gpm
3. 1.3 gpm
4. 2700 gpm
![Page 6: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/6.jpg)
The flow from a faucet filled up a 1 gallon container in 52 seconds. What was the
gpm flow rate from the faucet?
The flow from a faucet filled up a 1 gallon container in 52 seconds. What was the
gpm flow rate from the faucet?
1.1
gpm
0.0
2 gpm
1.9
gpm
320
0 gpm
100%
0%0%0%
sec= 52 seconds = 52 sec/60sec/min=0.87 min
Flow, gpm= Volume (gal) Time (min) Flow, gpm = Vol (gal)
0.87 (min)
Flow, gpm = 1 (gal)0.87 (min)
Flow, gpm= 1.1 gpm
sec= 52 seconds = 52 sec/60sec/min=0.87 min
Flow, gpm= Volume (gal) Time (min) Flow, gpm = Vol (gal)
0.87 (min)
Flow, gpm = 1 (gal)0.87 (min)
Flow, gpm= 1.1 gpm
Given
Formula
Solve:
Given
Formula
Solve:
1. 1.1 gpm
2. 0.02 gpm
3. 1.9 gpm
4. 3200 gpm
1. 1.1 gpm
2. 0.02 gpm
3. 1.9 gpm
4. 3200 gpm
![Page 7: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/7.jpg)
The flow from a faucet filled up a 1 gallon container in 1 minute 12 seconds. What was the gpm flow rate from the faucet?
The flow from a faucet filled up a 1 gallon container in 1 minute 12 seconds. What was the gpm flow rate from the faucet?
1.2
gpm
1.1
2 gpm
0.9
gpm
0.8
gpm
0%
100%
0%0%
sec= 12 seconds = 12 sec/60sec/min=0.2 min1 minute + 0.2 min = 1.2 minutes
Flow, gpm= Volume (gal) Time (min) Flow, gpm = Vol (gal)
1.2 (min)
Flow, gpm = 1 (gal)1.2 (min)
Flow, gpm= 0.8 gpm
sec= 12 seconds = 12 sec/60sec/min=0.2 min1 minute + 0.2 min = 1.2 minutes
Flow, gpm= Volume (gal) Time (min) Flow, gpm = Vol (gal)
1.2 (min)
Flow, gpm = 1 (gal)1.2 (min)
Flow, gpm= 0.8 gpm
Given
Formula
Solve:
Given
Formula
Solve:
1. 1.2 gpm
2. 1.12 gpm
3. 0.9 gpm
4. 0.8 gpm
1. 1.2 gpm
2. 1.12 gpm
3. 0.9 gpm
4. 0.8 gpm
![Page 8: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/8.jpg)
At a flow rate of 1.2 gpm, how long (minutes) should it take to fill a one
gallon container?
At a flow rate of 1.2 gpm, how long (minutes) should it take to fill a one
gallon container?
1.2
min
1.8
min
1.2
min
0.8
min
8%
92%
0%0%
Flow = 1.2 gpm
Flow, gpm= Volume (gal) Time (min) 1.2 gpm = 1 (gal)
X (min)
1.2 gpm (x min) = 1 (gal)
Min X = 1 gal 1.2 gpm X= 0.8 min
Flow = 1.2 gpm
Flow, gpm= Volume (gal) Time (min) 1.2 gpm = 1 (gal)
X (min)
1.2 gpm (x min) = 1 (gal)
Min X = 1 gal 1.2 gpm X= 0.8 min
Given
Formula
Solve:
Given
Formula
Solve:
1. 1.2 min
2. 1.8 min
3. 1.2 min
4. 0.8 min
1. 1.2 min
2. 1.8 min
3. 1.2 min
4. 0.8 min
![Page 9: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/9.jpg)
Flushing a LineFlushing a LineFlushing is considered adequate when the water in the
service line has been replaced twice!
Volume= 0.785 (D)(D)(L)Conversion= (7.48 gal/ft3)
Flow time, min= Pipe Volume (gal) (2) Flow Rate, gpm
Flow time, min = 0.785 (D)(D)(L) (7.48 gal/ft3) (2) Flow Rate, gpm
Don’t forget its twice the line!
Flushing is considered adequate when the water in the
service line has been replaced twice!
Volume= 0.785 (D)(D)(L)Conversion= (7.48 gal/ft3)
Flow time, min= Pipe Volume (gal) (2) Flow Rate, gpm
Flow time, min = 0.785 (D)(D)(L) (7.48 gal/ft3) (2) Flow Rate, gpm
Don’t forget its twice the line!
2 X2 X
![Page 10: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/10.jpg)
How long (minutes) will it take to flush a 50 ft length of ¾ inch diameter service line if
the flow through the line is 0.5 gpm?
How long (minutes) will it take to flush a 50 ft length of ¾ inch diameter service line if
the flow through the line is 0.5 gpm?
1.4
min
2.1
1 m
in
4.2
min
1.8
min
0% 0%
80%
20%
D= ¾ inch (1ft/12 inch) =0.06 ft; L= 50 ft; Rate=0.5 gpmA=0.785 (D)(D)(L)(7.48 gal/ft3)Flow time, min= Pipe Volume (gal) (2) Flow Rate, gpm D= 0.75 in/12in/1ft=0.06 ft
Flow= 0.785 (0.06 ft)(0.06 ft)(50 ft)(7.48 gal/ft3)(2) 0.5 gpm
Flow = 4.2 min
D= ¾ inch (1ft/12 inch) =0.06 ft; L= 50 ft; Rate=0.5 gpmA=0.785 (D)(D)(L)(7.48 gal/ft3)Flow time, min= Pipe Volume (gal) (2) Flow Rate, gpm D= 0.75 in/12in/1ft=0.06 ft
Flow= 0.785 (0.06 ft)(0.06 ft)(50 ft)(7.48 gal/ft3)(2) 0.5 gpm
Flow = 4.2 min
Given
Formula
Solve:
Given
Formula
Solve:
1. 1.4 min
2. 2.11 min
3. 4.2 min
4. 1.8 min
1. 1.4 min
2. 2.11 min
3. 4.2 min
4. 1.8 min
![Page 11: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/11.jpg)
How long (minutes) will it take to flush a 40 ft length of ¾ inch diameter service line if
the flow through the line is 0.7 gpm?
How long (minutes) will it take to flush a 40 ft length of ¾ inch diameter service line if
the flow through the line is 0.7 gpm?
7.0
min
2.4
min
1.2
min
40.
2 m
in
6%0%0%
94%
D= ¾ inch, (1ft/12 inch) =0.06 ft;L= 40 ft; Rate=0.7 gpmA=0.785 (D)(D)(L)(7.48 gal/ft3)Flow time, min= Pipe Volume (gal) (2) Flow Rate, gpm D= 0.75 in/12in/1ft=0.06 ft
Flow= 0.785 (0.06 ft)(0.06 ft)(40 ft)(7.48 gal/ft3)(2) 0.7 gpm
Flow = 2.4 min
D= ¾ inch, (1ft/12 inch) =0.06 ft;L= 40 ft; Rate=0.7 gpmA=0.785 (D)(D)(L)(7.48 gal/ft3)Flow time, min= Pipe Volume (gal) (2) Flow Rate, gpm D= 0.75 in/12in/1ft=0.06 ft
Flow= 0.785 (0.06 ft)(0.06 ft)(40 ft)(7.48 gal/ft3)(2) 0.7 gpm
Flow = 2.4 min
Given
Formula
Solve:
Given
Formula
Solve:
1. 7.0 min
2. 2.4 min
3. 1.2 min
4. 40.2 min
1. 7.0 min
2. 2.4 min
3. 1.2 min
4. 40.2 min
![Page 12: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/12.jpg)
At a flow rate of 0.5 gpm, how long (in minutes and seconds) will it take to flush
a 65 ft length ¾ inch diameter service?
At a flow rate of 0.5 gpm, how long (in minutes and seconds) will it take to flush
a 65 ft length ¾ inch diameter service?
2 m
in, 7
4 se
c
5 m
in, 5
sec
on...
91
min
, 60
sec
5 m
in, 3
0 se
co...
0%
92%
0%8%
D= ¾ inch, (1ft/12 inch) =0.06 ft;L= 65ft; Rate=0.5 gpmA=0.785 (D)(D)(L)(7.48 gal/ft3)Flow time, min= Pipe Volume (gal) (2) Flow Rate, gpm D= 0.75 in/12in/1ft=0.06 ft
Flow= 0.785 (0.06 ft)(0.06 ft)(65 ft)(7.48 gal/ft3)(2) 0.5 gpm
Flow = 5.5 min or 5 min and 30 sec
D= ¾ inch, (1ft/12 inch) =0.06 ft;L= 65ft; Rate=0.5 gpmA=0.785 (D)(D)(L)(7.48 gal/ft3)Flow time, min= Pipe Volume (gal) (2) Flow Rate, gpm D= 0.75 in/12in/1ft=0.06 ft
Flow= 0.785 (0.06 ft)(0.06 ft)(65 ft)(7.48 gal/ft3)(2) 0.5 gpm
Flow = 5.5 min or 5 min and 30 sec
Given
Formula
Solve:
Given
Formula
Solve:
1. 2 min, 74 sec
2. 5 min, 5 seconds
3. 91 min, 60 sec
4. 5 min, 30 seconds
1. 2 min, 74 sec
2. 5 min, 5 seconds
3. 91 min, 60 sec
4. 5 min, 30 seconds
![Page 13: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/13.jpg)
LeadLead0.015 mg/L is the Action Limit
MCLG = 0 mg/LHealth EffectDelays in physical or mental development
Children could show slight deficits in attention span and learning abilities
SourceCorrosion of household plumbing systems
Erosion of natural deposits
Household dust containing lead from lead-based paint
0.015 mg/L is the Action Limit
MCLG = 0 mg/LHealth EffectDelays in physical or mental development
Children could show slight deficits in attention span and learning abilities
SourceCorrosion of household plumbing systems
Erosion of natural deposits
Household dust containing lead from lead-based paint
![Page 14: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/14.jpg)
What are the MCLG and Action level for lead in drinking water?What are the MCLG and Action level for lead in drinking water?
15
ppb a
nd 15
...
0 a
nd 1
5 ppb
15
ppb a
nd 50
...
10
ppb a
nd 50
...
0% 0%0%
100%
1. 15 ppb and 15 ppb
2. 0 and 15 ppb
3. 15 ppb and 50 ppb
4. 10 ppb and 50 ppb
1. 15 ppb and 15 ppb
2. 0 and 15 ppb
3. 15 ppb and 50 ppb
4. 10 ppb and 50 ppb
![Page 15: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/15.jpg)
The Lead and Copper Rule addresses which of the
following items:
The Lead and Copper Rule addresses which of the
following items:
Req
uire
s w
ater
...
Est
ablis
hes
re...
Det
erm
ines
act
...
Est
ablis
hes
a ...
2, 3
and 4
0% 0%
86%
0%
14%
1. Requires water suppliers to use only lead pipes for water distribution
2. Establishes requirements for lead pipe replacement
3. Determines action levels for lead and copper in drinking water
4. Establishes a treatment technique including corrosion control
5. 2, 3 and 4
1. Requires water suppliers to use only lead pipes for water distribution
2. Establishes requirements for lead pipe replacement
3. Determines action levels for lead and copper in drinking water
4. Establishes a treatment technique including corrosion control
5. 2, 3 and 4
![Page 16: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/16.jpg)
A system will be required to replace service lines made of lead (Pb) after what series of events - check all that apply.
A system will be required to replace service lines made of lead (Pb) after what series of events - check all that apply.
Sys
tem
fails
t...
Sys
tem
fails
t...
Sys
tem
s th
at f.
..
Sys
tem
s th
at h
...
1 a
nd 2
Only
0%7%
93%
0%0%
1. System fails to meet the lead action level in tap samples after installing corrosion control.
2. System fails to meet the lead action level in tap samples after source water treatment.
3. Systems that fail to monitor for lead on a monthly basis.
4. Systems that have budgeted for service line replacement.
5. 1 and 2 Only
1. System fails to meet the lead action level in tap samples after installing corrosion control.
2. System fails to meet the lead action level in tap samples after source water treatment.
3. Systems that fail to monitor for lead on a monthly basis.
4. Systems that have budgeted for service line replacement.
5. 1 and 2 Only
![Page 17: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/17.jpg)
Which of the following are potential problems associated
with lead exposure in children?
Which of the following are potential problems associated
with lead exposure in children?
Bra
in d
amag
e a.
..
Beh
avio
r and l.
..
Ach
es o
r pai
ns...
All
of the
abo...
0%
80%
0%
20%
1. Brain damage and lower intelligence
2. Behavior and learning problems
3. Aches or pains in stomach
4. All of the above
1. Brain damage and lower intelligence
2. Behavior and learning problems
3. Aches or pains in stomach
4. All of the above
![Page 18: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/18.jpg)
A component of the 1986 SDWA amendments was to “GET THE
LEAD OUT”?
A component of the 1986 SDWA amendments was to “GET THE
LEAD OUT”?
Tru
e
Fal
se
0%
100%
1. True
2. False
1. True
2. False
![Page 19: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/19.jpg)
What are some of the health effects of short term exposure to
lead?
What are some of the health effects of short term exposure to
lead?
Cau
ses
exce
ssi..
.
Del
ays
in p
hys...
Cau
ses
kidney
...
Ther
e ar
e no
s...
0%
31%
0%
69%1. Causes excessively brittle bones
2. Delays in physical and mental development in babies and children
3. Causes kidney disease
4. There are no short term health effects
1. Causes excessively brittle bones
2. Delays in physical and mental development in babies and children
3. Causes kidney disease
4. There are no short term health effects
![Page 20: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/20.jpg)
According to the Lead and Copper Rule, the action for the 90th
percentile lead level is:
According to the Lead and Copper Rule, the action for the 90th
percentile lead level is:
1. 0
.005
mg/l
2. 0
.015
mg/l
3. 0
.030
mg/l
4. 0
.050
mg/l
0% 0%0%
100%
1. 0.005 mg/l
2. 0.015 mg/l
3. 0.030 mg/l
4. 0.050 mg/l
1. 0.005 mg/l
2. 0.015 mg/l
3. 0.030 mg/l
4. 0.050 mg/l
![Page 21: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/21.jpg)
CopperCopper1.3 mg/L is the MCL
Health EffectCopper is an essential nutrient, required by the body in very small amounts.
Short periods of exposure can cause gastrointestinal disturbance, including nausea and vomiting.
Long periods of exposure liver or kidney damage
SourceCorrosion of copper plumbing
Erosion of natural deposits
Copper mining and smelting operations
1.3 mg/L is the MCL
Health EffectCopper is an essential nutrient, required by the body in very small amounts.
Short periods of exposure can cause gastrointestinal disturbance, including nausea and vomiting.
Long periods of exposure liver or kidney damage
SourceCorrosion of copper plumbing
Erosion of natural deposits
Copper mining and smelting operations
![Page 22: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/22.jpg)
90th percentile Lead and Copper90th percentile Lead and CopperThe action level for lead is 0.015 mg/L and 1.3 mg/L copper?
Given the following data for lead concentrations find the 90th percentile and determine if the utility has to proceed with a corrosion control program:
0.023 mg/L 0.018 mg/L 0.004 mg/L 0.019 mg/L 0.013 mg/L0.006 mg/L 0.007 mg/L 0.026 mg/L 0.010 mg/L 0.006 mg/L
The action level for lead is 0.015 mg/L and 1.3 mg/L copper?
Given the following data for lead concentrations find the 90th percentile and determine if the utility has to proceed with a corrosion control program:
0.023 mg/L 0.018 mg/L 0.004 mg/L 0.019 mg/L 0.013 mg/L0.006 mg/L 0.007 mg/L 0.026 mg/L 0.010 mg/L 0.006 mg/L
![Page 23: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/23.jpg)
90th percentile Lead and Copper90th percentile Lead and Copper
Line em up from largest at the top to smallest at the bottom.The action level for lead is 0.015 mg/LLine em up from largest at the top to smallest at the bottom.The action level for lead is 0.015 mg/L
0.026 mg/L0.023 mg/L 0.019 mg/L 0.018 mg/L 0.013 mg/L0.010 mg/L0.007 mg/L 0.006 mg/L0.006 mg/L0.004 mg/L
0.026 mg/L0.023 mg/L 0.019 mg/L 0.018 mg/L 0.013 mg/L0.010 mg/L0.007 mg/L 0.006 mg/L0.006 mg/L0.004 mg/L
90th percentile is 0.023 mg/L
So it exceeds the Action Limit of 0.015 mg/L
Corrosion control needed!!
90th percentile is 0.023 mg/L
So it exceeds the Action Limit of 0.015 mg/L
Corrosion control needed!!
![Page 24: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/24.jpg)
90th percentile Lead and Copper90th percentile Lead and CopperThe action level for lead is 0.015 mg/L and 1.3 mg/L copper?
Given the following data for copper concentrations find the 90th percentile and determine if the utility has to proceed with a corrosion control program:
1.023 mg/L 1.018 mg/L 0.92 mg/L 0.87 mg/L 0.85 mg/L0.83 mg/L 0.82 mg/L 0.80 mg/L 0.79 mg/L 0.78 mg/L
The action level for lead is 0.015 mg/L and 1.3 mg/L copper?
Given the following data for copper concentrations find the 90th percentile and determine if the utility has to proceed with a corrosion control program:
1.023 mg/L 1.018 mg/L 0.92 mg/L 0.87 mg/L 0.85 mg/L0.83 mg/L 0.82 mg/L 0.80 mg/L 0.79 mg/L 0.78 mg/L
![Page 25: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/25.jpg)
90th percentile Lead and Copper90th percentile Lead and Copper
Line em up from largest at the top to smallest at the bottom.The action level for copper is 1.3 mg/L
90th percentile is 1.018 mg/L
So it is less then the Action Limit of 1.3 mg/L
No corrosion control needed!
90th percentile is 1.018 mg/L
So it is less then the Action Limit of 1.3 mg/L
No corrosion control needed!
1.023 mg/L 1.018 mg/L0.92 mg/L0.87 mg/L0.85 mg/L0.83 mg/L0.82 mg/L0.80 mg/L 0.79 mg/L0.78 mg/L
1.023 mg/L 1.018 mg/L0.92 mg/L0.87 mg/L0.85 mg/L0.83 mg/L0.82 mg/L0.80 mg/L 0.79 mg/L0.78 mg/L
![Page 26: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/26.jpg)
Copper Sulfate ApplicationCopper Sulfate ApplicationCopper Sulfate pentahydrate (spray or drag a bag): CuSO4 * 5H2O
For algae control in a small lake, a dosage of 0.5 mg/L copper is desired.
Copper Sulfate, lbs= (mg/L Cu)(vol, MG)(8.34 lb/gal) % available Cu
100Desired Dose= Actual Dose5.4 lbs CuSO4/1 ac = x lbs CUSO4/ Actual area, ac
Copper Sulfate pentahydrate (spray or drag a bag): CuSO4 * 5H2O
For algae control in a small lake, a dosage of 0.5 mg/L copper is desired.
Copper Sulfate, lbs= (mg/L Cu)(vol, MG)(8.34 lb/gal) % available Cu
100Desired Dose= Actual Dose5.4 lbs CuSO4/1 ac = x lbs CUSO4/ Actual area, ac
![Page 27: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/27.jpg)
For algae control in a small lake, a dosage of 0.5 mg/L copper is desired. The lake has a volume of
20 MG. How many lbs of copper sulfate pentahydrate will be required? (Copper sulfate pentahydrate contains 25% available copper?)
For algae control in a small lake, a dosage of 0.5 mg/L copper is desired. The lake has a volume of
20 MG. How many lbs of copper sulfate pentahydrate will be required? (Copper sulfate pentahydrate contains 25% available copper?)
83.
4 lb
s
40
lbs
334
lbs
42
lbs
0% 0%
100%
0%
Mg/L= 0.5; V=20 MG, 25% or 25/100 or .25% CuCopper Sulfate, lbs= (mg/L Cu)(vol, MG)(8.34 lb/gal) % available Cu
100Copper Sulfate, lbs= (0.5 mg/L Cu)(20 MG)(8.34 lb/gal) 25 % available Cu
100Copper Sulfate, lbs= 334 lbs CUSO4
Mg/L= 0.5; V=20 MG, 25% or 25/100 or .25% CuCopper Sulfate, lbs= (mg/L Cu)(vol, MG)(8.34 lb/gal) % available Cu
100Copper Sulfate, lbs= (0.5 mg/L Cu)(20 MG)(8.34 lb/gal) 25 % available Cu
100Copper Sulfate, lbs= 334 lbs CUSO4
Given
Formula
Solve:
Given
Formula
Solve:
1. 83.4 lbs
2. 40 lbs
3. 334 lbs
4. 42 lbs
1. 83.4 lbs
2. 40 lbs
3. 334 lbs
4. 42 lbs
![Page 28: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/28.jpg)
Lake Oswego has a surface area of 415 acres. If the desired copper sulfate dose is 5.4 lbs/ac, how
many lbs of copper sulfate are required?
Lake Oswego has a surface area of 415 acres. If the desired copper sulfate dose is 5.4 lbs/ac, how
many lbs of copper sulfate are required?
560
.25
lbs
.013
lbs
224
1 lb
s
2 lb
s
0% 0%
86%
14%
Desired 5.4 lbs/acre, Area 415 acres, Actual?Desired Dose= Actual Dose5.4 lbs CuSO4 = x lbs CUSO4
1 ac Actual area, ac 5.4 lbs CuSO4 = x lbs CUSO4
1 ac 415 ac 2241 lbs CuSO4
Desired 5.4 lbs/acre, Area 415 acres, Actual?Desired Dose= Actual Dose5.4 lbs CuSO4 = x lbs CUSO4
1 ac Actual area, ac 5.4 lbs CuSO4 = x lbs CUSO4
1 ac 415 ac 2241 lbs CuSO4
Given
Formula
Solve:
Given
Formula
Solve:
1. 560.25 lbs
2. .013 lbs
3. 2241 lbs
4. 2 lbs
1. 560.25 lbs
2. .013 lbs
3. 2241 lbs
4. 2 lbs
![Page 29: Math for Water Technology MTH 082 Lecture Chapter 8&15- Applied Math for Water Plant Operators](https://reader036.fdocuments.net/reader036/viewer/2022062423/56814bfa550346895db8f1b9/html5/thumbnails/29.jpg)
Today’s objective: Flow From a Faucet, Flushing a Service Line, 90th
Percentile Lead and Copper Rule, Copper Sulfate Application Rates in
Waterworks Operation has been met?
Today’s objective: Flow From a Faucet, Flushing a Service Line, 90th
Percentile Lead and Copper Rule, Copper Sulfate Application Rates in
Waterworks Operation has been met?
Stro
ngly A
gree
Agre
e
Neu
tral
Dis
agre
e
Stro
ngly D
isag
ree
75%
25%
0%0%0%
1. Strongly Agree
2. Agree
3. Neutral
4. Disagree
5. Strongly Disagree
1. Strongly Agree
2. Agree
3. Neutral
4. Disagree
5. Strongly Disagree