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Page 1: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation
Page 2: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation
Page 3: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

Wastewater Math Concepts Book 2

Intermediate Level Problems

Table of Contents

Page

Flow Problems 1

Grit Channel Problems 4

Sedimentation Basin, Tank, and Clarifier Problems

Detention Time 10

Surface Loading Rate 12

Weir Overflow Rate 15

Solids Loading 18

Trickling Filter Problems

Hydraulic Loading 21

Organic Loading 24

Removal Efficiency 27

Rotating Biological Contactors

Hydraulic Loading 30

Organic Loading 33

Activated Sludge Problems

Sludge Volume Index (SVI) 36

Pounds of Solids in Aeration Basin 39

Pounds of BOD Applied to Aeration Basin 42

Sludge Age 45

Pond Problems

Detention Time 48

Population Loading 51

Hydraulic Loading 54

Organic Loading 57

Chlorination Problems

Residual 60

Chlorinator Setting 62

Chemical Dose Problems

Polymer dose 64

Feed Pump Calibration and Setting 72

Blueprints 80

Final Exam 84

Page 4: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation
Page 5: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

EQUIVALENTS AND FORMULAS

EQUIVALENTS 1 acre = 43,560 square feet

1 cubic foot of water = 7.48 gallons 1 gallon of water = 8.34

pounds

1 day = 1,440 minutes = 86,400 seconds

1 million gallons/day = 694 gallons/minute = 1.547 cubic feet/second = 3.069 acre-feet/day

1% = l0,000 mg/L π = 3.14

1 inch of mercury = 1.133 feet of water 1 pound/square inch = 2.31 feet of

water

I HP = 0.746 Kw = 550 ft-lb/sec = 33,000 ft-lb/min

FORMULAS Area of rectangle = Length x Width

Area of circle = π x Diameter2 = 0.785 x Diameter

2

4

Volume of rectangular or circular tank with uniform depth = Area x Depth

Volume of cone = 1/3 x Base Area x Depth

Circumference = π x Diameter

Velocity = Distance Flow = Velocity x Area

Time

Detention time = Volume

Flow

Pounds/day = 8.34 x Flow, mgd x Concentration, mg/L

F/M = Pounds of BOD or COD applied per day

Pounds of MLVSS under aeration

MCRT = Pounds of MLSS in secondary system (aeration tank + clarifier)

Pounds of MLSS leaving secondary system per day (effluent + WAS)

Water HP = Flow, gpm x Total Head, ft

3960 gpm-ft

HP

Brake HP = Power to electric motor x Motor efficiency

Volatile Solids Reduction, % = In – Out x 100%

In - (In x Out)

Page 6: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation
Page 7: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

1

Flow Problems

Convert between gpm and MGD:

1. 850 gpm = _____________ MGD

2. 1200 gpm = _____________ MGD

3. 775 gpm = _____________ MGD

4. 350 gpm = _____________ MGD

5. 1150 gpm = _____________ MGD

6. 1525 gpm = _____________ MGD

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2

Convert between MGD and CFS:

7. 2.3 MGD = _____________ CFS

8. 8.5 MGD = _____________ CFS

9. 17 MGD = _____________ CFS

10. 4.3 MGD = _____________ CFS

11. 9.7 MGD = _____________ CFS

12. 3.2 MGD = _____________ CFS

Page 9: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

Grit Channel Problems

3

Grit Channel Problems

1. Estimate the velocity in feet/second of wastewater flowing through a grit channel

if a stick travels 18 feet in 43 seconds.

2. Estimate the velocity in feet/second of wastewater flowing through a grit channel

if a stick travels 60 feet in 30 seconds.

Page 10: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

4

3. Estimate the velocity in feet/second of wastewater flowing through a grit channel

if a stick travels 120 feet in 2 minutes.

4. Estimate the velocity in feet/second of wastewater flowing through a grit channel

if a stick travels 25 feet in 15 seconds.

Page 11: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

Grit Channel Problems

5

5. Estimate the velocity in feet/second of wastewater flowing through a grit channel

if a stick travels 43 feet in 10 seconds.

6. Estimate the velocity in feet/second of wastewater flowing through a grit channel

if a stick travels 30 feet in 1 minute.

Page 12: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

6

7. A grit channel removed 2.9 cubic feet of grit during a 24 hour period when total

flow was 0.7 MGD. How many cubic feet of grit are removed per million

gallons?

8. A grit channel removed 4 cubic feet of grit during a 24 hour period when total

flow was 1.8 MGD. How many cubic feet of grit are removed per million

gallons?

Page 13: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

Grit Channel Problems

7

9. A grit channel removed 5.2 cubic feet of grit during a 24 hour period when total

flow was 2.8 MGD. How many cubic feet of grit are removed per million

gallons?

10. A grit channel removed 4.5 cubic feet of grit during a 24 hour period when total

flow was 10 MGD. How many cubic feet of grit are removed per million gallons?

Page 14: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

8

11. A grit channel removed 6.4 cubic feet of grit during a 24 hour period when total

flow was 1.6 MGD. How many cubic feet of grit are removed per million

gallons?

12. A grit channel removed 1.6 cubic feet of grit during a 24 hour period when total

flow was 1 MGD. How many cubic feet of grit are removed per million gallons?

Page 15: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

Clarifier Problems

9

Clarifier Problems

Detention time

1. A round clarifier handles a flow of 1 MGD and suspended solids of 3,400 mg/L.

The clarifier is 52 feet in diameter and has a depth of 8 feet. Find the clarifier

detention time in hours.

2. A round clarifier handles a flow of 2.9 MGD and suspended solids of 3,400 mg/L.

The clarifier is 60 feet in diameter and has a depth of 12 feet. Find the clarifier

detention time in hours.

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10

3. A round clarifier handles a flow of 0.75 MGD and suspended solids of 3,200

mg/L. The clarifier is 48 feet in diameter and has a depth of 10 feet. Find the

clarifier detention time in hours.

4. A round clarifier handles a flow of 5.0 MGD and suspended solids of 3,800 mg/L.

The clarifier is 40 feet in diameter and has a depth of 15 feet. Find the clarifier

detention time in hours.

Page 17: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

Clarifier Problems

11

5. A round clarifier handles a flow of 10.2 MGD and suspended solids of 3,000

mg/L. The clarifier is 60 feet in diameter and has a depth of 18 feet. Find the

clarifier detention time in hours.

Surface Loading Rate

1. A round clarifier handles a flow of 1 MGD and suspended solids of 3,400 mg/L.

The clarifier is 52 feet in diameter and has a depth of 8 feet. Find the surface

loading rate in GPD/ft2.

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12

2. A round clarifier handles a flow of 3.0 MGD and suspended solids of 3,400 mg/L.

The clarifier is 45 feet in diameter and has a depth of 10 feet. Find the surface

loading rate in GPD/ft2.

3. A round clarifier handles a flow of 2.5 MGD and suspended solids of 3,700 mg/L.

The clarifier is 32 feet in diameter and has a depth of 14 feet. Find the surface

loading rate in GPD/ft2.

Page 19: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

Clarifier Problems

13

4. A round clarifier handles a flow of 10 MGD and suspended solids of 3,200 mg/L.

The clarifier is 40 feet in diameter and has a depth of 12 feet. Find the surface

loading rate in GPD/ft2.

5. A round clarifier handles a flow of 1.8 MGD and suspended solids of 2,600 mg/L.

The clarifier is 30 feet in diameter and has a depth of 8 feet. Find the surface

loading rate in GPD/ft2.

Page 20: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

14

Weir Overflow Rate

1. A round clarifier handles a flow of 1 MGD and suspended solids of 3,400 mg/L.

The clarifier is 52 feet in diameter and has a depth of 8 feet. What is the weir

overflow rate?

2. A round clarifier handles a flow of 10.2 MGD and suspended solids of 3,000

mg/L. The clarifier is 60 feet in diameter and has a depth of 18 feet. Find the

clarifier detention time in hours.

Page 21: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

Clarifier Problems

15

3. A round clarifier handles a flow of 1.5 MGD and suspended solids of 3,600 mg/L.

The clarifier is 60 feet in diameter and has a depth of 8 feet. What is the weir

overflow rate?

4. A round clarifier handles a flow of 2.8 MGD and suspended solids of 3,600 mg/L.

The clarifier is 40 feet in diameter and has a depth of 8 feet. What is the weir

overflow rate?

Page 22: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

16

5. A round clarifier handles a flow of 5 MGD and suspended solids of 3,600 mg/L.

The clarifier is 45 feet in diameter and has a depth of 8 feet. What is the weir

overflow rate?

6. A round clarifier handles a flow of 7.4 MGD and suspended solids of 3,600 mg/L.

The clarifier is 55 feet in diameter and has a depth of 8 feet. What is the weir

overflow rate?

Page 23: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

Clarifier Problems

17

Solids Loading

1. A round clarifier handles a flow of 1 MGD and suspended solids of 3,400 mg/L.

The clarifier is 52 feet in diameter and has a depth of 8 feet. Find the solids

loading in this clarifier in lb/day/sq. ft.

2. A round clarifier handles a flow of 2.9 MGD and suspended solids of 3,400 mg/L.

The clarifier is 50 feet in diameter and has a depth of 8 feet. Find the solids

loading in this clarifier in lb/day/sq. ft.

Page 24: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

18

3. A round clarifier handles a flow of 0.75 MGD and suspended solids of 3,200

mg/L. The clarifier is 48 feet in diameter and has a depth of 10 feet. Find the

solids loading in this clarifier in lb/day/sq. ft.

4. A round clarifier handles a flow of 5.0 MGD and suspended solids of 3,800 mg/L.

The clarifier is 40 feet in diameter and has a depth of 15 feet. Find the solids

loading in this clarifier in lb/day/sq. ft.

Page 25: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

Clarifier Problems

19

5. A round clarifier handles a flow of 10.2 MGD and suspended solids of 3,000

mg/L. The clarifier is 60 feet in diameter and has a depth of 18 feet. Find the

solids loading in this clarifier in lb/day/sq. ft.

6. A round clarifier handles a flow of 7 MGD and suspended solids of 3,100 mg/L.

The clarifier is 45 feet in diameter and has a depth of 10 feet. Find the solids

loading in this clarifier in lb/day/sq. ft.

Page 26: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

20

Trickling Filter Problems

Hydraulic loading

1. A flow of 1.5 MGD is applied to a trickling filter with a 48 foot diameter and 5

foot depth. The incoming BOD is 130 mg/L. Calculate the Hydraulic loading on

the filter in gpd/ft2.

2. A flow of 5 MGD is applied to a trickling filter with a 60 foot diameter and 10

foot depth. The incoming BOD is 130 mg/L. Calculate the Hydraulic loading on

the filter in gpd/ft2

.

Page 27: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

Trickling Filter Problems

21

3. A flow of 3 MGD is applied to a trickling filter with a 55 foot diameter and 6 foot

depth. The incoming BOD is 140 mg/L. Calculate the Hydraulic loading on the

filter in gpd/ft2.

4. A flow of 2.5MGD is applied to a trickling filter with a 44 foot diameter and 8

foot depth. The incoming BOD is 125 mg/L. Calculate the Hydraulic loading on

the filter in gpd/ft2.

Page 28: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

22

5. A flow of 6.5 MGD is applied to a trickling filter with a 48 foot diameter and 5

foot depth. The incoming BOD is 135 mg/L. Calculate the Hydraulic loading on

the filter in gpd/ft2.

6. A flow of 1.8 MGD is applied to a trickling filter with a 50 foot diameter and 5

foot depth. The incoming BOD is 130 mg/L. Calculate the Hydraulic loading on

the filter in gpd/ft2

.

Page 29: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

Trickling Filter Problems

23

Organic Loading

1. A flow of 1.5 MGD is applied to a trickling filter with a 48 foot diameter and 5

foot depth. The incoming BOD is 130 mg/L. Calculate the Organic loading on

the filter in lb/day/1,000 ft3 of media.

2. A flow of 5 MGD is applied to a trickling filter with a 60 foot diameter and 10

foot depth. The incoming BOD is 130 mg/L. Calculate the Organic loading on

the filter in lb/day/1,000 ft3 of media.

Page 30: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

24

3. A flow of 3 MGD is applied to a trickling filter with a 55 foot diameter and 6 foot

depth. The incoming BOD is 140 mg/L. Calculate the Organic loading on the

filter in lb/day/1,000 ft3 of media.

4. A flow of 2.5MGD is applied to a trickling filter with a 44 foot diameter and 8

foot depth. The incoming BOD is 125 mg/L. Calculate the Organic loading on

the filter in lb/day/1,000 ft3 of media.

Page 31: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

Trickling Filter Problems

25

5. A flow of 6.5 MGD is applied to a trickling filter with a 48 foot diameter and 5

foot depth. The incoming BOD is 135 mg/L. Calculate the Organic loading on

the filter in lb/day/1,000 ft3 of media.

6. A flow of 1.8 MGD is applied to a trickling filter with a 50 foot diameter and 5

foot depth. The incoming BOD is 130 mg/L. Calculate the Organic loading on

the filter in lb/day/1,000 ft3 of media.

Page 32: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

26

Removal Efficiency

1. The influent BOD of a trickling filter is 260 mg/L and the effluent BOD is 20

mg/L. What is the removal efficiency of this trickling filter?

2. The influent BOD of a trickling filter is 250 mg/L and the effluent BOD is 20

mg/L. What is the removal efficiency of this trickling filter?

Page 33: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

Trickling Filter Problems

27

3. The influent BOD of a trickling filter is 240 mg/L and the effluent BOD is 30

mg/L. What is the removal efficiency of this trickling filter?

4. The influent BOD of a trickling filter is 230 mg/L and the effluent BOD is 20

mg/L. What is the removal efficiency of this trickling filter?

Page 34: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

28

5. The influent BOD of a trickling filter is 280 mg/L and the effluent BOD is 10

mg/L. What is the removal efficiency of this trickling filter?

6. The influent BOD of a trickling filter is 220 mg/L and the effluent BOD is 10

mg/L. What is the removal efficiency of this trickling filter?

Page 35: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

RBC Problems

29

RBC Problems

Hydraulic Loading

1. A rotating biological contactor treats a flow of 1.2 MGD. The surface area of the

contactor is 350,000 square feet. The influent BOD is 180 mg/L and the

suspended solids is 200 mg/L. Assume a K value of 0.5 to calculate soluble

BOD. Find the hydraulic loading in gpd/ft2.

2. A rotating biological contactor treats a flow of 2.2 MGD. The surface area of the

contactor is 700,000 square feet. The influent BOD is 190 mg/L and the

suspended solids is 220 mg/L. Assume a K value of 0.5 to calculate soluble

BOD. Find the hydraulic loading in gpd/ft2.

Page 36: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

30

3. A rotating biological contactor treats a flow of 4 MGD. The surface area of the

contactor is 800,000 square feet. The influent BOD is 180 mg/L and the

suspended solids is 220 mg/L. Assume a K value of 0.5 to calculate soluble

BOD. Find the hydraulic loading in gpd/ft2.

4. A rotating biological contactor treats a flow of 7.2 MGD. The surface area of the

contactor is 970,000 square feet. The influent BOD is 200 mg/L and the

suspended solids is 230 mg/L. Assume a K value of 0.5 to calculate soluble

BOD. Find the hydraulic loading in gpd/ft2.

Page 37: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

RBC Problems

31

5. A rotating biological contactor treats a flow of 3 MGD. The surface area of the

contactor is 600,000 square feet. The influent BOD is 170 mg/L and the

suspended solids is 210 mg/L. Assume a K value of 0.5 to calculate soluble

BOD. Find the hydraulic loading in gpd/ft2.

6. A rotating biological contactor treats a flow of 1 MGD. The surface area of the

contactor is 400,000 square feet. The influent BOD is 190 mg/L and the

suspended solids is 200 mg/L. Assume a K value of 0.5 to calculate soluble

BOD. Find the hydraulic loading in gpd/ft2.

Page 38: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

32

Organic Loading

1. A rotating biological contactor treats a flow of 1.2 MGD. The surface area of the

contactor is 350,000 square feet. The influent BOD is 180 mg/L and the

suspended solids is 200 mg/L. Assume a K value of 0.5 to calculate soluble

BOD. Calculate the Organic loading in lb/day/1,000ft2 of media surface.

2. A rotating biological contactor treats a flow of 2.2 MGD. The surface area of the

contactor is 700,000 square feet. The influent BOD is 190 mg/L and the

suspended solids is 220 mg/L. Assume a K value of 0.5 to calculate soluble

BOD. Calculate the Organic loading in lb/day/1,000ft2 of media surface.

Page 39: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

RBC Problems

33

3. A rotating biological contactor treats a flow of 4 MGD. The surface area of the

contactor is 800,000 square feet. The influent BOD is 180 mg/L and the

suspended solids is 220 mg/L. Assume a K value of 0.5 to calculate soluble

BOD. Calculate the Organic loading in lb/day/1,000ft2 of media surface.

4. A rotating biological contactor treats a flow of 7.2 MGD. The surface area of the

contactor is 970,000 square feet. The influent BOD is 200 mg/L and the

suspended solids is 230 mg/L. Assume a K value of 0.5 to calculate soluble

BOD. Calculate the Organic loading in lb/day/1,000ft2 of media surface.

Page 40: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

34

5. A rotating biological contactor treats a flow of 3 MGD. The surface area of the

contactor is 600,000 square feet. The influent BOD is 170 mg/L and the

suspended solids is 210 mg/L. Assume a K value of 0.5 to calculate soluble

BOD. Calculate the Organic loading in lb/day/1,000ft2 of media surface.

6. A rotating biological contactor treats a flow of 1 MGD. The surface area of the

contactor is 400,000 square feet. The influent BOD is 190 mg/L and the

suspended solids is 200 mg/L. Assume a K value of 0.5 to calculate soluble

BOD. Calculate the Organic loading in lb/day/1,000ft2 of media surface.

Page 41: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

Activated Sludge Problems

35

Activated Sludge Problems

Sludge Volume Index (SVI)

1. Lab results for a WWTP are listed below. Aeration tank volume is 0.4 MG.

MLSS 1600 mg/L

Mixed liquor volatile content 76%

Primary effluent BOD 130 mg/L

Primary effluent suspended solids 100 mg/L

Plant flow 2.1 MGD

30 minute Settleable Solids 190 ml/L

What is the Sludge Volume Index?

2. Lab results for a WWTP are listed below. Aeration tank volume is 1 MG.

MLSS 1800 mg/L

Mixed liquor volatile content 72%

Primary effluent BOD 140 mg/L

Primary effluent suspended solids 110 mg/L

Plant flow 4 MGD

30 minute Settleable Solids 180 ml/L

What is the Sludge Volume Index?

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36

3. Lab results for a WWTP are listed below. Aeration tank volume is 1.4 MG.

MLSS 1700 mg/L

Mixed liquor volatile content 70%

Primary effluent BOD 120 mg/L

Primary effluent suspended solids 100 mg/L

Plant flow 6 MGD

30 minute Settleable Solids 170 ml/L

What is the Sludge Volume Index?

4. Lab results for a WWTP are listed below. Aeration tank volume is 1.5 MG.

MLSS 2000 mg/L

Mixed liquor volatile content 80%

Primary effluent BOD 130 mg/L

Primary effluent suspended solids 120 mg/L

Plant flow 5.5 MGD

30 minute Settleable Solids 190 ml/L

What is the Sludge Volume Index?

Page 43: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

Activated Sludge Problems

37

5. Lab results for a WWTP are listed below. Aeration tank volume is 0.5 MG.

MLSS 1600 mg/L

Mixed liquor volatile content 71%

Primary effluent BOD 140 mg/L

Primary effluent suspended solids 110 mg/L

Plant flow 2.1 MGD

30 minute Settleable Solids 160 ml/L

What is the Sludge Volume Index?

6. Lab results for a WWTP are listed below. Aeration tank volume is 1.6 MG.

MLSS 1700 mg/L

Mixed liquor volatile content 75%

Primary effluent BOD 150 mg/L

Primary effluent suspended solids 120 mg/L

Plant flow 7.2 MGD

30 minute Settleable Solids 210 ml/L

What is the Sludge Volume Index?

Page 44: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

38

Pounds of Solids in Aeration Basin

1. Lab results for a WWTP are listed below. Aeration tank volume is 0.4 MG.

MLSS 1600 mg/L

Mixed liquor volatile content 76%

Primary effluent BOD 130 mg/L

Primary effluent suspended solids 100 mg/L

Plant flow 2.1 MGD

How many pounds of solids are in the aeration basin?

2. Lab results for a WWTP are listed below. Aeration tank volume is 1 MG.

MLSS 1800 mg/L

Mixed liquor volatile content 72%

Primary effluent BOD 140 mg/L

Primary effluent suspended solids 110 mg/L

Plant flow 4 MGD

How many pounds of solids are in the aeration basin?

Page 45: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

Activated Sludge Problems

39

3. Lab results for a WWTP are listed below. Aeration tank volume is 1.4 MG.

MLSS 1700 mg/L

Mixed liquor volatile content 70%

Primary effluent BOD 120 mg/L

Primary effluent suspended solids 100 mg/L

Plant flow 6 MGD

How many pounds of solids are in the aeration basin?

4. Lab results for a WWTP are listed below. Aeration tank volume is 1.5 MG.

MLSS 2000 mg/L

Mixed liquor volatile content 80%

Primary effluent BOD 130 mg/L

Primary effluent suspended solids 120 mg/L

Plant flow 5.5 MGD

How many pounds of solids are in the aeration basin?

Page 46: Wastewater Math Concepts - americanwatercollege.org · Wastewater Math Concepts Book 2 Intermediate Level Problems Table of Contents Page Flow Problems 1 Grit Channel Problems 4 Sedimentation

40

5. Lab results for a WWTP are listed below. Aeration tank volume is 0.5 MG.

MLSS 1600 mg/L

Mixed liquor volatile content 71%

Primary effluent BOD 140 mg/L

Primary effluent suspended solids 110 mg/L

Plant flow 2.1 MGD

How many pounds of solids are in the aeration basin?

6. Lab results for a WWTP are listed below. Aeration tank volume is 1.6 MG.

MLSS 1700 mg/L

Mixed liquor volatile content 75%

Primary effluent BOD 150 mg/L

Primary effluent suspended solids 120 mg/L

Plant flow 7.2 MGD

How many pounds of solids are in the aeration basin?

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Activated Sludge Problems

41

Pounds of BOD Applied to the Aeration Basin Each Day

1. Lab results for a WWTP are listed below. Aeration tank volume is 0.4 MG.

MLSS 1600 mg/L

Mixed liquor volatile content 76%

Primary effluent BOD 130 mg/L

Primary effluent suspended solids 100 mg/L

Plant flow 2.1 MGD

Calculate the lb/day of BOD applied to the aeration basin.

2. Lab results for a WWTP are listed below. Aeration tank volume is 1 MG.

MLSS 1800 mg/L

Mixed liquor volatile content 72%

Primary effluent BOD 140 mg/L

Primary effluent suspended solids 110 mg/L

Plant flow 4 MGD

Calculate the lb/day of BOD applied to the aeration basin.

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42

3. Lab results for a WWTP are listed below. Aeration tank volume is 1.4 MG.

MLSS 1700 mg/L

Mixed liquor volatile content 70%

Primary effluent BOD 120 mg/L

Primary effluent suspended solids 100 mg/L

Plant flow 6 MGD

Calculate the lb/day of BOD applied to the aeration basin.

4. Lab results for a WWTP are listed below. Aeration tank volume is 1.5 MG.

MLSS 2000 mg/L

Mixed liquor volatile content 80%

Primary effluent BOD 130 mg/L

Primary effluent suspended solids 120 mg/L

Plant flow 5.5 MGD

Calculate the lb/day of BOD applied to the aeration basin.

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Activated Sludge Problems

43

5. Lab results for a WWTP are listed below. Aeration tank volume is 0.5 MG.

MLSS 1600 mg/L

Mixed liquor volatile content 71%

Primary effluent BOD 140 mg/L

Primary effluent suspended solids 110 mg/L

Plant flow 2.1 MGD

Calculate the lb/day of BOD applied to the aeration basin.

6. Lab results for a WWTP are listed below. Aeration tank volume is 1.6 MG.

MLSS 1700 mg/L

Mixed liquor volatile content 75%

Primary effluent BOD 150 mg/L

Primary effluent suspended solids 120 mg/L

Plant flow 7.2 MGD

Calculate the lb/day of BOD applied to the aeration basin.

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44

Sludge Age

1. Lab results for a WWTP are listed below. Aeration tank volume is 0.4 MG.

MLSS 1600 mg/L

Mixed liquor volatile content 76%

Primary effluent BOD 130 mg/L

Primary effluent suspended solids 100 mg/L

Plant flow 2.1 MGD

Calculate the sludge age in days.

2. Lab results for a WWTP are listed below. Aeration tank volume is 1 MG.

MLSS 1800 mg/L

Mixed liquor volatile content 72%

Primary effluent BOD 140 mg/L

Primary effluent suspended solids 110 mg/L

Plant flow 4 MGD

Calculate the sludge age in days.

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Activated Sludge Problems

45

3. Lab results for a WWTP are listed below. Aeration tank volume is 1.4 MG.

MLSS 1700 mg/L

Mixed liquor volatile content 70%

Primary effluent BOD 120 mg/L

Primary effluent suspended solids 100 mg/L

Plant flow 6 MGD

Calculate the sludge age in days.

4. Lab results for a WWTP are listed below. Aeration tank volume is 1.5 MG.

MLSS 2000 mg/L

Mixed liquor volatile content 80%

Primary effluent BOD 130 mg/L

Primary effluent suspended solids 120 mg/L

Plant flow 5.5 MGD

Calculate the sludge age in days.

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46

5. Lab results for a WWTP are listed below. Aeration tank volume is 0.5 MG.

MLSS 1600 mg/L

Mixed liquor volatile content 71%

Primary effluent BOD 140 mg/L

Primary effluent suspended solids 110 mg/L

Plant flow 2.1 MGD

Calculate the sludge age in days.

6. Lab results for a WWTP are listed below. Aeration tank volume is 1.6 MG.

MLSS 1700 mg/L

Mixed liquor volatile content 75%

Primary effluent BOD 150 mg/L

Primary effluent suspended solids 120 mg/L

Plant flow 7.2 MGD

Calculate the sludge age in days.

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Pond Problems

47

Pond Problems

Detention Time

1. The treatment pond is 4 feet deep and has an average length of 500 feet.

The average width is 350 feet. Flow through the pond is 0.4 MGD. BOD

in the pond is 120 mg/L. The treatment pond services 4,500 people.

Calculate the detention time in days.

2. The treatment pond is 5 feet deep and has an average length of 400 feet.

The average width is 300 feet. Flow through the pond is 0.45 MGD.

BOD in the pond is 130 mg/L. The treatment pond services 4,000 people.

Calculate the detention time in days.

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48

3. The treatment pond is 6 feet deep and has an average length of 600 feet.

The average width is 450 feet. Flow through the pond is 0.8 MGD. BOD

in the pond is 140 mg/L. The treatment pond services 8,000 people.

Calculate the detention time in days.

4. The treatment pond is 4.5 feet deep and has an average length of 700 feet.

The average width is 350 feet. Flow through the pond is 0.5 MGD. BOD

in the pond is 120 mg/L. The treatment pond services 9,500 people.

Calculate the detention time in days.

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Pond Problems

49

5. The treatment pond is 5 feet deep and has an average length of 650 feet.

The average width is 380 feet. Flow through the pond is 0.7 MGD. BOD

in the pond is 130 mg/L. The treatment pond services 6,500 people.

Calculate the detention time in days.

6. The treatment pond is 4 feet deep and has an average length of 550 feet.

The average width is 480 feet. Flow through the pond is 0.6 MGD. BOD

in the pond is 120 mg/L. The treatment pond services 7,500 people.

Calculate the detention time in days.

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50

Population Loading

1. The treatment pond is 5 feet deep and has an average length of 400 feet.

The average width is 300 feet. Flow through the pond is 0.45 MGD.

BOD in the pond is 130 mg/L. The treatment pond services 4,000 people.

Calculate the population loading in persons/acre.

2. The treatment pond is 6 feet deep and has an average length of 600 feet.

The average width is 450 feet. Flow through the pond is 0.8 MGD. BOD

in the pond is 140 mg/L. The treatment pond services 8,000 people.

Calculate the population loading in persons/acre.

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Pond Problems

51

3. The treatment pond is 4.5 feet deep and has an average length of 700 feet.

The average width is 350 feet. Flow through the pond is 0.5 MGD. BOD

in the pond is 120 mg/L. The treatment pond services 9,500 people.

Calculate the population loading in persons/acre.

4. The treatment pond is 5 feet deep and has an average length of 650 feet.

The average width is 380 feet. Flow through the pond is 0.7 MGD. BOD

in the pond is 130 mg/L. The treatment pond services 6,500 people.

Calculate the population loading in persons/acre.

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52

5. The treatment pond is 4 feet deep and has an average length of 550 feet.

The average width is 480 feet. Flow through the pond is 0.6 MGD. BOD

in the pond is 120 mg/L. The treatment pond services 7,500 people.

Calculate the population loading in persons/acre.

6. The treatment pond is 4 feet deep and has an average length of 500 feet.

The average width is 350 feet. Flow through the pond is 0.4 MGD. BOD

in the pond is 120 mg/L. The treatment pond services 4,500 people.

Calculate the population loading in persons/acre.

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Pond Problems

53

Hydraulic loading

1. The treatment pond is 4 feet deep and has an average length of 500 feet.

The average width is 350 feet. Flow through the pond is 0.4 MGD. BOD

in the pond is 120 mg/L. The treatment pond services 4,500 people.

Calculate the hydraulic loading in inches per day.

2. The treatment pond is 5 feet deep and has an average length of 400 feet.

The average width is 300 feet. Flow through the pond is 0.45 MGD.

BOD in the pond is 130 mg/L. The treatment pond services 4,000 people.

Calculate the hydraulic loading in inches per day.

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54

3. The treatment pond is 6 feet deep and has an average length of 600 feet.

The average width is 450 feet. Flow through the pond is 0.8 MGD. BOD

in the pond is 140 mg/L. The treatment pond services 8,000 people.

Calculate the hydraulic loading in inches per day.

4. The treatment pond is 4.5 feet deep and has an average length of 700 feet.

The average width is 350 feet. Flow through the pond is 0.5 MGD. BOD

in the pond is 120 mg/L. The treatment pond services 9,500 people.

Calculate the hydraulic loading in inches per day.

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Pond Problems

55

5. The treatment pond is 5 feet deep and has an average length of 650 feet.

The average width is 380 feet. Flow through the pond is 0.7 MGD. BOD

in the pond is 130 mg/L. The treatment pond services 6,500 people.

Calculate the hydraulic loading in inches per day.

6. The treatment pond is 4 feet deep and has an average length of 550 feet.

The average width is 480 feet. Flow through the pond is 0.6 MGD. BOD

in the pond is 120 mg/L. The treatment pond services 7,500 people.

Calculate the hydraulic loading in inches per day.

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56

Organic Loading

1. The treatment pond is 4 feet deep and has an average length of 500 feet.

The average width is 350 feet. Flow through the pond is 0.4 MGD. BOD

in the pond is 120 mg/L. The treatment pond services 4,500 people.

Calculate the organic loading on the pond in lb BOD/day/acre.

2. The treatment pond is 5 feet deep and has an average length of 400 feet.

The average width is 300 feet. Flow through the pond is 0.45 MGD.

BOD in the pond is 130 mg/L. The treatment pond services 4,000 people.

Calculate the organic loading on the pond in lb BOD/day/acre.

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Pond Problems

57

3. The treatment pond is 6 feet deep and has an average length of 600 feet.

The average width is 450 feet. Flow through the pond is 0.8 MGD. BOD

in the pond is 140 mg/L. The treatment pond services 8,000 people.

Calculate the organic loading on the pond in lb BOD/day/acre.

4. The treatment pond is 4.5 feet deep and has an average length of 700 feet.

The average width is 350 feet. Flow through the pond is 0.5 MGD. BOD

in the pond is 120 mg/L. The treatment pond services 9,500 people.

Calculate the organic loading on the pond in lb BOD/day/acre.

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58

5. The treatment pond is 5 feet deep and has an average length of 650 feet.

The average width is 380 feet. Flow through the pond is 0.7 MGD. BOD

in the pond is 130 mg/L. The treatment pond services 6,500 people.

Calculate the organic loading on the pond in lb BOD/day/acre.

6. The treatment pond is 4 feet deep and has an average length of 550 feet.

The average width is 480 feet. Flow through the pond is 0.6 MGD. BOD

in the pond is 120 mg/L. The treatment pond services 7,500 people.

Calculate the organic loading on the pond in lb BOD/day/acre.

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Disinfection Problems

59

Disinfection Problems

Residual

1. Find the chlorine demand of an effluent if the chlorine dose is 8.6 mg/L and the

residual is 1.3 mg/L

2. Find the chlorine demand of an effluent if the chlorine dose is 9.2 mg/L and the

residual is 1.5 mg/L

3. Find the chlorine demand of an effluent if the chlorine dose is 8.0 mg/L and the

residual is 1.2 mg/L

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60

4. Find the chlorine demand of an effluent if the chlorine dose is 7.6 mg/L and the

residual is 1.4 mg/L

5. Find the chlorine demand of an effluent if the chlorine dose is 6.5 mg/L and the

residual is 1.0 mg/L

6. Find the chlorine demand of an effluent if the chlorine dose is 10.2 mg/L and the

residual is 0.9 mg/L

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Disinfection Problems

61

Chlorinator Setting (lb/day)

1. In order to maintain a satisfactory chlorine residual, the chlorine dose must be at 9

mg/L when flow is 0.4 MGD. Find the chlorinator setting in lb/day.

2. In order to maintain a satisfactory chlorine residual, the chlorine dose must be at 8

mg/L when flow is 0.5 MGD. Find the chlorinator setting in lb/day.

3. In order to maintain a satisfactory chlorine residual, the chlorine dose must be at

7.5 mg/L when flow is 0.8 MGD. Find the chlorinator setting in lb/day.

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62

4. In order to maintain a satisfactory chlorine residual, the chlorine dose must be at

10 mg/L when flow is 0.9 MGD. Find the chlorinator setting in lb/day.

5. In order to maintain a satisfactory chlorine residual, the chlorine dose must be at 7

mg/L when flow is 1.4 MGD. Find the chlorinator setting in lb/day.

6. In order to maintain a satisfactory chlorine residual, the chlorine dose must be at 6

mg/L when flow is 1.0 MGD. Find the chlorinator setting in lb/day.

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Chemical Dose Problems

63

Chemical Dose Problems

Polymer dose

1. The optimum polymer dose as shown by a jar test is 11 mg/L. Determine the

setting on the liquid polymer chemical feeder in ml/minute when plant flow is 5

MGD. The liquid polymer delivered to the plant contains 640 mg/ml of liquid

solution.

2. The optimum polymer dose as shown by a jar test is 10 mg/L. Determine the

setting on the liquid polymer chemical feeder in ml/minute when plant flow is 8

MGD. The liquid polymer delivered to the plant contains 630 mg/ml of liquid

solution.

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64

3. The optimum polymer dose as shown by a jar test is 12 mg/L. Determine the

setting on the liquid polymer chemical feeder in ml/minute when plant flow is 12

MGD. The liquid polymer delivered to the plant contains 650 mg/ml of liquid

solution.

4. The optimum polymer dose as shown by a jar test is 9 mg/L. Determine the

setting on the liquid polymer chemical feeder in ml/minute when plant flow is 2.2

MGD. The liquid polymer delivered to the plant contains 600 mg/ml of liquid

solution.

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Chemical Dose Problems

65

5. The optimum polymer dose as shown by a jar test is 8.8 mg/L. Determine the

setting on the liquid polymer chemical feeder in ml/minute when plant flow is 3.5

MGD. The liquid polymer delivered to the plant contains 640 mg/ml of liquid

solution.

6. The optimum polymer dose as shown by a jar test is 13 mg/L. Determine the

setting on the liquid polymer chemical feeder in ml/minute when plant flow is 1.5

MGD. The liquid polymer delivered to the plant contains 610 mg/ml of liquid

solution.

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66

7. The optimum polymer dose as shown by a jar test is 11 mg/L. Determine the

setting on the liquid polymer chemical feeder in gallons/day when plant flow is 5

MGD. The liquid polymer delivered to the plant contains 5.3 pounds per gallon

of liquid polymer solution.

8. The optimum polymer dose as shown by a jar test is 12 mg/L. Determine the

setting on the liquid polymer chemical feeder in gallons/day when plant flow is 6

MGD. The liquid polymer delivered to the plant contains 4.9 pounds per gallon

of liquid polymer solution.

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Chemical Dose Problems

67

9. The optimum polymer dose as shown by a jar test is 14 mg/L. Determine the

setting on the liquid polymer chemical feeder in gallons/day when plant flow is 4

MGD. The liquid polymer delivered to the plant contains 5.8 pounds per gallon

of liquid polymer solution.

10. The optimum polymer dose as shown by a jar test is 17 mg/L. Determine the

setting on the liquid polymer chemical feeder in gallons/day when plant flow is

3.5 MGD. The liquid polymer delivered to the plant contains 5.5 pounds per

gallon of liquid polymer solution.

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68

11. The optimum polymer dose as shown by a jar test is 13 mg/L. Determine the

setting on the liquid polymer chemical feeder in gallons/day when plant flow is

5.5 MGD. The liquid polymer delivered to the plant contains 4.8 pounds per

gallon of liquid polymer solution.

12. The optimum polymer dose as shown by a jar test is 19 mg/L. Determine the

setting on the liquid polymer chemical feeder in gallons/day when plant flow is

7.5 MGD. The liquid polymer delivered to the plant contains 5.1 pounds per

gallon of liquid polymer solution.

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Chemical Dose Problems

69

13. Find the chemical feed in lb/day of polymer from a chemical feed pump. The

polymer solution is 1.4 % (14,000 mg/L). Assume that the specific gravity of the

polymer solution is 1.0. During a pump catch, the feed pump delivered 850 ml

over a 5 minute period.

14. Find the chemical feed in lb/day of polymer from a chemical feed pump. The

polymer solution is 1.6 % (16,000 mg/L). Assume that the specific gravity of the

polymer solution is 1.0. During a pump catch, the feed pump delivered 1,200 ml

over a 4 minute period.

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70

15. Find the chemical feed in lb/day of polymer from a chemical feed pump. The

polymer solution is 1.2 % (12,000 mg/L). Assume that the specific gravity of the

polymer solution is 1.0. During a pump catch, the feed pump delivered 950 ml

over a 4 minute period.

16. Find the chemical feed in lb/day of polymer from a chemical feed pump. The

polymer solution is 1.4 % (14,000 mg/L). Assume that the specific gravity of the

polymer solution is 1.0. During a pump catch, the feed pump delivered 1,000 ml

over a 6 minute period.

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Chemical Dose Problems

71

Chemical Feed Pump Calibration and Setting

1. Determine the actual chemical feed in lb/day from a dry chemical feeder. A

bucket placed under the chemical feeder weighs 0.25 lb empty. After 30 minutes,

the bucket and the chemical weigh 2.3 lb.

2. Determine the actual chemical feed in lb/day from a dry chemical feeder. A

bucket placed under the chemical feeder weighs 0.25 lb empty. After 15 minutes,

the bucket and the chemical weigh 1.5 lb.

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72

3. Determine the actual chemical feed in lb/day from a dry chemical feeder. A

bucket placed under the chemical feeder weighs 0.25 lb empty. After 20 minutes,

the bucket and the chemical weigh 2.8 lb.

4. Determine the actual chemical feed in lb/day from a dry chemical feeder. A

bucket placed under the chemical feeder weighs 0.25 lb empty. After 60 minutes,

the bucket and the chemical weigh 5.6 lb.

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Chemical Dose Problems

73

5. A chemical feed pump lowered the chemical tank level 1 foot, 4 inches over an 8

hour shift. The tank is round with a 3 foot diameter. Find the feed rate in gallons

per minute and gallons per day.

6. A chemical feed pump lowered the chemical tank level 2 feet over an 8 hour shift.

The tank is round with a 4 foot diameter. Find the feed rate in gallons per minute

and gallons per day.

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74

7. A chemical feed pump lowered the chemical tank level 3 feet, 6 inches over a 10

hour shift. The tank is round with a 4.5 foot diameter. Find the feed rate in

gallons per minute and gallons per day.

8. A chemical feed pump lowered the chemical tank level 3 feet over a 24 hour

period. The tank is round with a 3 foot diameter. Find the feed rate in gallons per

minute and gallons per day.

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Chemical Dose Problems

75

9. A chemical feed pump lowered the chemical tank level 1 foot, 4 inches over an 8

hour shift. The tank is a cube with a length and width of 4 feet. Find the feed rate

in gallons per minute and gallons per day.

10. A chemical feed pump lowered the chemical tank level 1 foot, 6 inches over a 4

hour period. The tank is a 5 foot cube. Find the feed rate in gallons per minute

and gallons per day.

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76

11. Determine the setting in percent stroke on a chemical feed pump to deliver 3.0

mg/L of polymer. The flow is 450 gpm. The polymer strength is 4.5%. The

pump has a maximum capacity of 90 gallons per day at a setting of 100%

capacity.

12. Determine the setting in percent stroke on a chemical feed pump to deliver 2.5

mg/L of polymer. The flow is 420 gpm. The polymer strength is 5.5%. The

pump has a maximum capacity of 80 gallons per day at a setting of 100%

capacity.

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Chemical Dose Problems

77

13. Determine the setting in percent stroke on a chemical feed pump to deliver 3.5

mg/L of polymer. The flow is 550 gpm. The polymer strength is 5.0%. The

pump has a maximum capacity of 100gallons per day at a setting of 100%

capacity.

14. Determine the setting in percent stroke on a chemical feed pump to deliver 2.0

mg/L of polymer. The flow is 650 gpm. The polymer strength is 4.5%. The

pump has a maximum capacity of 125 gallons per day at a setting of 100%

capacity.

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78

15. Determine the setting in percent stroke on a chemical feed pump to deliver 3.8

mg/L of polymer. The flow is 350 gpm. The polymer strength is 4.0%. The

pump has a maximum capacity of 90 gallons per day at a setting of 100%

capacity.

16. Determine the setting in percent stroke on a chemical feed pump to deliver 2.4

mg/L of polymer. The flow is 550 gpm. The polymer strength is 4.5%. The

pump has a maximum capacity of 90 gallons per day at a setting of 100%

capacity.

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Blueprint Problems

79

Blueprints

1. A set of blueprints for a treatment plant has a scale of ¼ inch = 1 foot. On the

prints, the primary clarifier measures 8 ¾ inches by 15 ½ inches. What is the

surface area of the clarifier in square feet?

2. A set of blueprints for a treatment plant has a scale of ¼ inch = 1 foot. On the

prints, the primary clarifier measures 9 ¾ inches by 12 ½ inches. What is the

surface area of the clarifier in square feet?

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80

3. A set of blueprints for a treatment plant has a scale of ¼ inch = 1 foot. On the

prints, the primary clarifier measures 6 ¾ inches by 14 ½ inches. What is the

surface area of the clarifier in square feet?

4. A set of blueprints for a treatment plant has a scale of ¼ inch = 1 foot. On the

prints, the primary clarifier measures 7 ¾ inches by 16 ½ inches. What is the

surface area of the clarifier in square feet?

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Blueprint Problems

81

5. The blueprints for a treatment plant are ¼ inch = 1 foot scale. Find the volume in

gallons of a round chemical storage tank that measure 3 inches in diameter and 2

inches tall on the blueprints.

6. The blueprints for a treatment plant are ¼ inch = 1 foot scale. Find the volume in

gallons of a round chemical storage tank that measure 4 inches in diameter and 3

inches tall on the blueprints.

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82

7. The blueprints for a treatment plant are ¼ inch = 1 foot scale. Find the volume in

gallons of a round chemical storage tank that measure 5 inches in diameter and 5

inches tall on the blueprints.

8. The blueprints for a treatment plant are ¼ inch = 1 foot scale. Find the volume in

gallons of a round chemical storage tank that measure 5 inches in diameter and 7

inches tall on the blueprints.

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Final Exam

83

Final Exam

1. 635 gpm = _____________ MGD

a. 2.135 MGD

b. 0.850 MGD

c. 1.213 MGD

d. 0.914 MGD

2. 1.34 MGD = _____________ CFS

a. 0.5 CFS

b. 2.1 CFS

c. 1.8 CFS

d. 3.2 CFS

3. The influent BOD of a trickling filter is 280 mg/L and the effluent BOD is 20

mg/L. What is the removal efficiency of this trickling filter?

a. 96%

b. 93%

c. 91%

d. 89%

4. Lab results for a WWTP are listed below. Aeration tank volume is 0.4 MG.

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MLSS 1800 mg/L

Mixed liquor volatile content 72%

Primary effluent BOD 130 mg/L

Primary effluent suspended solids 100 mg/L

Plant flow 10 MGD

How many pounds of solids are in the aeration basin?

a. 6,000 lb

b. 5,000 lb

c. 7,000 lb

d. 2,000 lb

5. Find the chlorine demand of an effluent if the chlorine dose is 8.5 mg/L and the

residual is 2.3 mg/L

a. 4.3 mg/L

b. 2.3 mg/L

c. 6.2 mg/L

d. 9.8 mg/L

6. In order to maintain a satisfactory chlorine residual, the chlorine dose must be at 9

mg/L when flow is 1.5 MGD. Find the chlorinator setting in lb/day.

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Final Exam

85

a. 135 lb/day

b. 113 lb/day

c. 121 lb/day

d. 100 lb/day

7. Estimate the velocity in feet/second of wastewater flowing through a grit channel

if a stick travels 42 feet in 60 seconds.

a. 0.4 ft/sec

b. 0.6 ft/sec

c. 0.7 ft/sec

d. 1.4 ft/sec

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8. A grit channel removed 5 cubic feet of grit during a 24 hour period when total

flow was 0.8 MGD. How many cubic feet of grit are removed per million

gallons?

a. 6.25 ft3/MG

b. 7.25 ft3/MG

c. 5.25 ft3/MG

d. 4.25 ft3/MG

9. A round clarifier handles a flow of 7.4 MGD and suspended solids of 3,800 mg/L.

The clarifier is 40 feet in diameter and has a depth of 12 feet. What is the weir

overflow rate?

a. 22,562 gpd/ft

b. 4,750 gpd/ft

c. 58,917 gpd/ft

d. 42,615 gpd/ft

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Final Exam

87

10. A flow of 1.8 MGD is applied to a trickling filter with a 40 foot diameter and 5

foot depth. The incoming BOD is 140 mg/L. Calculate the Hydraulic loading on

the filter in gpd/ft2.

a. 1,433 gpd/ft2

b. 1,230 gpd/ft2

c. 1,610 gpd/ft2

d. 2,763 gpd/ft2

11. A rotating biological contactor treats a flow of 5.5 MGD. The surface area of the

contactor is 850,000 square feet. The influent BOD is 170 mg/L and the

suspended solids is 210 mg/L. Assume a K value of 0.5 to calculate soluble

BOD. Find the hydraulic loading in gpd/ft2.

a. 3.6 gpd/ft2

b. 5.2 gpd/ft2

c. 4.4 gpd/ft2

d. 6.4 gpd/ft2

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12. A rotating biological contactor treats a flow of 4.2 MGD. The surface area of the

contactor is 750,000 square feet. The influent BOD is 190 mg/L and the

suspended solids is 200 mg/L. Assume a K value of 0.5 to calculate soluble

BOD. Calculate the Organic loading in lb/day/1,000ft2 of media surface.

a. 4.2 lb/day/1,000ft2

b. 5.1 lb/day/1,000ft2

c. 1.5 lb/day/1,000ft2

d. 2.3 lb/day/1,000ft2

13. Lab results for a WWTP are listed below. Aeration tank volume is 0.4 MG.

MLSS 1500 mg/L

Mixed liquor volatile content 74%

Primary effluent BOD 120 mg/L

Primary effluent suspended solids 100 mg/L

Plant flow 4.3 MGD

30 minute Settleable Solids 200 ml/L

What is the Sludge Volume Index?

a. 96

b. 116

c. 133

d. 124

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Final Exam

89

14. Lab results for a WWTP are listed below. Aeration tank volume is 0.4 MG.

MLSS 1600 mg/L

Mixed liquor volatile content 76%

Primary effluent BOD 150 mg/L

Primary effluent suspended solids 120 mg/L

Plant flow 2.6 MGD

Calculate the lb/day of BOD applied to the aeration basin.

a. 5,250 lb/day

b. 3,250 lb/day

c. 2,250 lb/day

d. 4,250 lb/day

15. Lab results for a WWTP are listed below. Aeration tank volume is 0.4 MG.

MLSS 1500 mg/L

Mixed liquor volatile content 70%

Primary effluent BOD 130 mg/L

Primary effluent suspended solids 100 mg/L

Plant flow 3.2 MGD

Calculate the sludge age in days.

a. 0.5 days

b. 2.3 days

c. 3.1 days

d. 1.9 days

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16. The treatment pond is 5 feet deep and has an average length of 400 feet. The

average width is 300 feet. Flow through the pond is 0.6 MGD. BOD in the pond

is 130 mg/L. The treatment pond services 4,800 people. Calculate the detention

time in days.

a. 1.2 days

b. 7.5 days

c. 6.4 days

d. 3.5 days

17. The treatment pond is 6 feet deep and has an average length of 480 feet. The

average width is 375 feet. Flow through the pond is 1 MGD. BOD in the

pond is 120 mg/L. The treatment pond services 6,000 people. Calculate the

population loading in persons/acre.

a. 1,463 persons/acre

b. 1,221 persons/acre

c. 1,565 persons/acre

d. 1,318 persons/acre

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Final Exam

91

18. The treatment pond is 6 feet deep and has an average length of 700 feet. The

average width is 450 feet. Flow through the pond is 1.4 MGD. BOD in the pond

is 110 mg/L. The treatment pond services 7,500 people. Calculate the hydraulic

loading in inches per day.

a. 9.5 in/day

b. 8.8 in/day

c. 7.2 in/day

d. 4.8 in/day

19. The treatment pond is 4 feet deep and has an average length of 640 feet. The

average width is 390 feet. Flow through the pond is 0.55 MGD. BOD in the

pond is 120 mg/L. The treatment pond services 5,500 people. Calculate the

organic loading on the pond in lb BOD/day/acre.

a. 23 lb BOD/day/acre

b. 54 lb BOD/day/acre

c. 46 lb BOD/day/acre

d. 96 lb BOD/day/acre

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92

20. The optimum polymer dose as shown by a jar test is 16 mg/L. Determine the

setting on the liquid polymer chemical feeder in ml/minute when plant flow is 6

MGD. The liquid polymer delivered to the plant contains 640 mg/ml of liquid

solution.

a. 425 ml/min

b. 395 ml/min

c. 260 ml/min

d. 140 ml/min

21. The optimum polymer dose as shown by a jar test is 12 mg/L. Determine the

setting on the liquid polymer chemical feeder in gallons/day when plant flow is

7.5 MGD. The liquid polymer delivered to the plant contains 5.3 pounds per

gallon of liquid polymer solution.

a. 142 gpd

b. 157 gpd

c. 137 gpd

d. 162 gpd

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Final Exam

93

22. Find the chemical feed in lb/day of polymer from a chemical feed pump. The

polymer solution is 1.5 % (15,000 mg/L). Assume that the specific gravity of the

polymer solution is 1.0. During a pump catch, the feed pump delivered 1050 ml

over a 5 minute period.

a. 10 lb/day

b. 11 lb/day

c. 15 lb/day

d. 16 lb/day

23. Determine the actual chemical feed in lb/day from a dry chemical feeder. A

bucket placed under the chemical feeder weighs 0.35 lb empty. After 20 minutes,

the bucket and the chemical weigh 3.3 lb.

a. 312 lb/day

b. 112 lb/day

c. 172 lb/day

d. 212 lb/day

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94

24. A chemical feed pump lowered the chemical tank level 1 foot, 9 inches over an 8

hour shift. The tank is round with a 4 foot diameter. Find the feed rate in gallons

per minute and gallons per day.

a. 0.34 gpm, 494 gpd

b. 0.25 gpm, 360 gpd

c. 0.55 gpm, 792 gpd

d. 0.75 gpm, 999 gpd

25. A flow of 6.1 MGD is applied to a trickling filter with a 50 foot diameter and 5

foot depth. The incoming BOD is 130 mg/L. Calculate the Organic loading on

the filter in lb/day/1,000 ft3 of media.

a. 562 lb/day/1,000ft3

b. 450 lb/day/1,000ft3

c. 373 lb/day/1,000ft3

d. 674 lb/day/1,000ft3

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Final Exam

95

26. A round clarifier handles a flow of 2.5 MGD and suspended solids of 3,700 mg/L.

The clarifier is 50 feet in diameter and has a depth of 8 feet. Find the solids

loading in this clarifier in lb/day/sq. ft.

a. 34 lb/day/ft2

b. 39 lb/day/ft2

c. 41 lb/day/ft2

d. 29 lb/day/ft2

27. Determine the setting in percent stroke on a chemical feed pump to deliver 3.2

mg/L of polymer. The flow is 650 gpm. The polymer strength is 4.5%. The

pump has a maximum capacity of 95 gallons per day at a setting of 100%

capacity.

a. 40%

b. 70%

c. 80%

d. 20%

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96

28. A round clarifier handles a flow of 5.9 MGD and suspended solids of 3,600 mg/L.

The clarifier is 64 feet in diameter and has a depth of 10 feet. Find the surface

loading rate in GPD/ft2.

a. 1,895 gpd/ft2

b. 1,575 gpd/ft2

c. 1,430 gpd/ft2

d. 1,835 gpd/ft2

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Answer Key

97

Flow Problems Grit Channel Problems

1. 1.2 MGD 1. 0.4 ft/sec

2. 1.7 MGD 2. 2 ft/sec

3. 1.1 MGD 3. 1 ft/sec

4. 0.5 MGD 4. 1.7 ft/sec

5. 1.66 MGD 5. 4.3 ft/sec

6. 2.2 MGD 6. 0.5 ft/sec

7. 3.6 CFS 7. 4.1 ft3/MG

8. 13.1 CFS 8. 2.2 ft3/MG

9. 26.3 CFS 9. 1.9 ft3/MG

10. 6.7 CFS 10. 0.45 ft3/MG

11. 15 CFS 11. 4 ft3/MG

12. 5 CFS 12. 1.6 ft3/MG

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98

Clarifier Problems Trickling Filter Problems

1. 3 hr 1. 829 gpd/ft2

2. 2.1 hr 2. 1,769 gpd/ft2

3. 4.3 hr 3. 1,263 gpd/ft2

4. .7 hr 4. 1,645 gpd/ft2

5. 0.9 hr 5. 3,594 gpd/ft2

6. 471 gpd/ft2 6. 917 gpd/ft

2

7. 1,887 gpd/ft2 7. 180 lb/day/1000ft

3

8. 3,110 gpd/ft2 8. 192 lb/day/1000ft

3

9. 7,962 gpd/ft2 9. 246 lb/day/1000ft

3

10. 2,548 gpd/ft2 10. 214 lb/day/1000ft

3

11. 6,124 gpd/ft 11. 809 lb/day/1000ft3

12. 54,140 gpd/ft 12. 199 lb/day/1000ft3

13. 7,962 gpd/ft 13. 92%

14. 22,293 gpd/ft 14. 92%

15. 35,386 gpd/ft 15. 88%

16. 42,849 gpd/ft 16. 91%

17. 13.4 lb/day/ft2 17. 96%

18. 41.9 lb/day/ft2 18. 95%

19. 11.1 lb/day/ft2

20. 126 lb/day/ft2

21. 90.3 lb/day/ft2

22. 114 lb/day/ft2

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Answer Key

99

RBC Problems Activated Sludge Problems

1. 3.4 gpd/ft2 1. 119 13. 2,277 lb/day

2. 3.1 gpd/ft2 2. 100 14. 4,670 lb/day

3. 5 gpd/ft2 3. 100 15. 6,005 lb/day

4. 7.4 gpd/ft2 4. 95 16. 5,963 lb/day

5. 5 gpd/ft2 5. 100 17. 2,452 lb/day

6. 2.5 gpd/ft2 6. 124 18. 9,007 lb/day

7. 2.3 lb/day/1000ft2 7. 5,338 lb 19. 3 days

8. 2.1 lb/day/1000ft2 8. 15,012 lb 20. 4 days

9. 2.9 lb/day/1000ft2 9. 19,849 lb 21. 4 days

10. 5.3 lb/day/1000ft2 10. 25,020 lb 22. 4.5 days

11. 2.7 lb/day/1000ft2 11. 6,672 lb 23. 3.5 days

12. 1.9 lb/day/1000ft2 12. 22,685 lb 24. 3 days

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Pond Problems

1. 13 days

2. 10 days

3. 15 days

4. 16.5 days

5. 13 days

6. 13 days

7. 1,452 persons/acre

8. 1,291 persons/acre

9. 1,689 persons/acre

10. 1,146 persons/acre

11. 1,238 persons/acre

12. 1,120 persons/acre

13. 3.7 in/day

14. 6 in/day

15. 4.8 in/day

16. 3.3 in/day

17. 4.5 in/day

18. 3.6 in/day

19. 100 lb/day/acre

20. 177 lb/day/acre

21. 151 lb/day/acre

22. 89 lb/day/acre

23. 134 lb/day/acre

24. 99 lb/day/acre

Disinfection Problems

1. 7.3 mg/L

2. 7.7 mg/L

3. 6.8 mg/L

4. 6.2 mg/L

5. 5.5 mg/L

6. 9.3 mg/L

7. 30 lb/day

8. 33.4 lb/day

9. 50 lb/day

10. 75 lb/day

11. 81.7 lb/day

12. 50 lb/day

Chemical Dose Problems

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Answer Key

101

1. 226 ml/min

2. 334 ml/min

3. 583 ml/min

4. 86.8 ml/min

5. 127 ml/min

6. 84 ml/min

7. 86.5 gal/day

8. 122.5 gal/day

9. 80.5 gal/day

10. 90.2 gal/day

11. 108.4 gal/day

12. 233 gal/day

13. 7.5 lb/day

14. 15.2 lb/day

15. 9 lb/day

16. 7.4 lb/day

17. 98.4 lb/day

18. 120 lb/day

19. 183.6 lb/day

20. 128.4 lb/day

21. .146 gpm

210.9 gpd

22. .391 gpm

563.7 gpd

23. .694 gpm

99.8 gpd

24. .110 gpm

158.5 gpd

25. .332 gpm

477.5 gpd

26. 1.17 gpm

1,683 gpd

27. 48%

28. 34.4%

29. 55.5%

30. 33.3%

31. 53.2%

32. 47%

Blueprints

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102

1. 2,170 ft2

2. 1,950 ft2

3. 1,566 ft2

4. 2,046 ft2

5. V = 6,764 gal

6. 18,038 gal

7. 46,974 gal

8. 65,764 gal

Final Exam

1. d. 0.914 MGD

2. b. 2.1 CFS

3. b. 93 %

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Answer Key

103

4. a. 6,000 lb

5. c. 6.2 mg/L

6. b. 113 lb/day

7. c. 0.7 ft/sec

8. a. 6.25 ft3/MG

9. c. 58,917 gpd/ft

10. a. 1,433 gpd/ft2

11. d. 6.4 gpd/ft2

12. a. 4.2 lb/day/1,000ft2

13. c. 133

14. b. 3,250 lb/day

15. d. 1.9 days

16. b. 7.5 days

17. a. 1452 persons/acre

18. c. 7.2 in/day

19. d. 96 lb BOD/day/acre

20. b. 395 ml/min

21. a. 142 gpd

22. a. 10 lb/day

23. d. 212 lb/day

24. a. 0.34 gpm, 493 gpd

25. d. 674 lb/day/1,000ft3

26. b. 39 lb/day/ft2

27. b. 70 %

28. d. 1,835 gpd/ft

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