Advanced Waterworks Mathematics, 2019a

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5. Complete the following table with the corresponding unit for the various water quality Maximum Contaminant Levels (MCL). Constituent ppm ppb ppt Arsenic 51 Chromium 1.74 Nitrate (NO3) 112 Perchlorate 90,832 Vinyl chloride 0.75 86 | A dvanced Waterworks Mathematics
Exercise 3.2 Solve the following problems. Think of the “%” symbol as “pph” (parts per hundred). 1. A 12.5% chlorine solution has a ppm concentration of? 2. What is the percent concentration of a 100-ppm solution? 3. A water utility uses a 0.8% sodium hypochlorite solution to disinfect a well. What is the ppm concentration of the solution? 4. A container of liquid chlorine has a concentration of 1,250 ppm. What is the percent concentration of the solution? 87 | A dvanced Waterworks Mathematics
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1 | A dvanced Waterworks Mathematic
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Acknowledgements College of the Can
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Unit 10 201 10.1 Horsepower and Eff
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Multiple units may need to be conve
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Practice Problems 1.1a Show how eac
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Word problems may involve unit conv
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6. A pipe flows at a rate of 6.3 cf
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6. A well flows at a rate of 1,250
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Well 2: Total Flow in MGD 1,000 gal
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Practice Problems 1.2 1. A water ut
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3. A water utility has 12,300 servi
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The shape of a tank is often a cyli
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Circles A circle is a round figure
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Example: What is the area of an 813
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Trapezoids Trapezoids are four-side
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Figure 2.9 9 Circumference of a Cir
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The formula for the area of a spher
Page 35 and 36: Example: What is the entire interio
Page 37 and 38: Practice Problems 2.1 1. What is th
Page 39 and 40: 8. What is the entire interior surf
Page 41 and 42: 5. A standpipe needs to be painted.
Page 43 and 44: Then, calculate the volume of the t
Page 45 and 46: 2 1 2 Trapezoidal Prism = H L 8.5
Page 47 and 48: Practice Problems 2.2 1. What is th
Page 49 and 50: Exercise 2.2 1. What is the volume
Page 51 and 52: 2.3 AREA AND VOLUME WORD PROBLEMS W
Page 53 and 54: Figure 2.20 19 Step 4: Put the info
Page 55 and 56: Step 3: Make a sketch to clarify th
Page 57 and 58: Figure 2.22 21 When looking at a pr
Page 59 and 60: Calculate the volume of the cylinde
Page 61 and 62: 4. A water tank truck delivered 30
Page 63 and 64: Exercise 2.3 1. A water utility ope
Page 65 and 66: 6. A private contractor needs water
Page 67 and 68: 2.4 FLOW RATE Flow rate is the meas
Page 69 and 70: Key Terms circumference - the dist
Page 71 and 72: 4. What is the diameter of a pipe t
Page 73 and 74: 4. What is the diameter of a pipe t
Page 75 and 76: Substance Specific Gravity Weight C
Page 77 and 78: 5. The specific gravity of 25% Alum
Page 79 and 80: 5. The specific gravity of 25% Alum
Page 81 and 82: To convert between a percentage and
Page 83 and 84: And now we are moving to the row fo
Page 85: Practice Problems 3.2 1. An 87.5% c
Page 89 and 90: 3.3 MIXING AND DILUTING SOLUTIONS T
Page 91 and 92: Total Volume of the new solution is
Page 93 and 94: 3. A chlorine storage tank that is
Page 95 and 96: 3. A chlorine storage tank that is
Page 97 and 98: The following charts or Pie Wheels
Page 99 and 100: At only a 10% concentration, you wi
Page 101 and 102: Now the question is asking how many
Page 103 and 104: Key Terms chlorine demand - the
Page 105 and 106: 3. How many pounds of 24.5% sodium
Page 107 and 108: 7. A water treatment operator adjus
Page 109 and 110: 11. An operator added 422 gallons o
Page 111 and 112: 3. How many pounds of 12.5% sodium
Page 113 and 114: 7. A water treatment operator adjus
Page 115 and 116: 11. An operator added 275 gallons o
Page 117 and 118: Weirs can either be sharp-crested o
Page 119 and 120: Weir Overflow Rate (gpm/ft) = ? gpm
Page 121 and 122: Key Terms weir - an overflow stru
Page 123 and 124: 5. A treatment plant processes 8.4
Page 125 and 126: 5. A treatment plant processes 15 M
Page 127 and 128: UNIT 6 6.1 DETENTION TIME Detention
Page 129 and 130: D = t Volume Flow gallons million
Page 131 and 132: Rearranging the terms in the detent
Page 133 and 134: 3. A water utility engineer is desi
Page 135 and 136: 7. A 70-foot diameter, 35-foot-deep
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3. A water utility engineer is desi
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7. The chlorine residual decay rate
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11. A circular clarifier processes
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Although filtration rates are commo
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Key Terms contact time - detenti
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4. A water treatment plant processe
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Exercise 6.2 1. A water treatment p
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7. An Engineer is designing a circu
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Pin It! Misconception Alert Sometim
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Next, there are two crucial terms t
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Finding the Correct CT Table Typica
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and resulting disinfection inactiva
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plant maintains a chloraminated res
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Practice Problems 7.1 1. What is th
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5. A conventional water treatment p
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7. A direct filtration plant is ope
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6. A direct filtration water treatm
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UNIT 8 8.1 PRESSURE Pressure is the
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From this example, it is clear that
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5. Two houses are served by a nearb
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Exercise 8.1 Solve the following pr
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8.2 HEAD LOSS As water travels thro
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Friction will need to be added at t
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3. A well located at 200 feet above
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Exercise 8.2 Solve the following pr
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UNIT 9 9.1 WELL YIELD, SPECIFIC CAP
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Cone of Depression The triangular s
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Practice Problems 9.1 1. A well has
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7. A well has a specific capacity o
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4. A well has an hour meter attache
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UNIT 10 10.1 HORSEPOWER AND EFFICIE
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The above equation is used to calcu
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Practice Problems 10.1 1. What is t
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Exercise 10.1 Calculate the require
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10.2 HEAD LOSS AND HORSEPOWER As di
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Practice Problems 10.2 1. A well is
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Exercise 10.2 Calculate the followi
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10.3 CALCULATING POWER COSTS It is
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93.25 kW $ 0.088 8.33 hr $ 68.35
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Practice Problems 10.3 1. A well fl
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4. A well draws water from an aquif
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7. Complete the table below based o
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Exercise 10.3 Solve the following p
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4. A well draws water from an aquif
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7. Complete the table below based o
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UNIT 11 11.1 PER CAPITA WATER USE A
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That’s a lot of gallons. This is
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Green Building Code) has resulted i
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7. A water district has a goal of 1
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4. How much water would a family of
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UNIT 12 12.1 BLENDING AND DILUTING
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To determine the percentage of Sour
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Practice Problems 12.1 1. A well ha
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5. Two wells need to achieve a dail
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3. A well with a PCE level of 7.5 u
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UNIT 13 13.1 SCADA AND THE USE OF M
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ottom to what is referred to as the
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mA (reading) - mA (offset) = percen
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4. A water tank is 52 ft tall and h
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8. A chemical injection system is m
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4. A water tank is 45 ft tall and h
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8. A chemical injection system is m
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mean extra funds to pay for securit
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Per the table, the total annual bud
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Pumps and Motors: $72,000 x% $6,2
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Variable Costs Reason 273 | A dvanc
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Practice Problems 14.1 1. A utility
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3. A utility has annual operating e
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7. A small water company has a tota
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2. A pump that has been in operatio
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5. A 250 hp well operates 9 hours a
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PRACTICE PROBLEM SOLUTIONS Practice
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3.1 cf 3,600 sec 10 hr 7.48 gal 30
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1,346,400 gal 1 AF 365 day day 3
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Practice Problems 2.3 1. A water ut
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3 22 ft 217,800.13 ft = depth ft
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Q (cfs) 3.18 cfs A (ft ) = = = 1.17
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5. The specific gravity of 25% Alum
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To convert ppb to ppm, you divide p
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Practice Problems 3.3 1. How many g
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Practice Problems 4.1 1. How many g
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6.35 MG 8.34 lbs 2,914.5 lbs ppm
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8. A water utility produced 6,000 A
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72,327.816 lbs 72,327.816 lbs 72,32
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Weir Length (ft) = 4,791.67 gpm 41
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quality objectives of a certain tre
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12 MG 1,000,000 gal 1 day 1 hour
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8. A circular clarifier processes 9
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4. A water treatment plant processe
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4,700,000 gal 1 day ? min = 1,554.
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Now look at Table C-7 Inactivation
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500 mg/L min CT is required. Locati
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Location and Type of Disinfection T
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2 2 D = 0.33121019 ft 12 in D = 0.5
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5. A water utility has two differen
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gpm Specific Capacity = ft 717.5 gp
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3. A well with pumps located 46 ft
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(630 gpm)(130 ft) 65 hp = (3,960)(?
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electrical rate of $0.111 per kW-Hr
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(flow rate in gallons per minute)(t
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2 flushes per family member 6 famil
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Practice Problems 12.1 1. A well ha
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-137.5 mg/L ? mg/L = = 275 mg/L - (
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Practice Problems 13.1 1. A 4-20 mA
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7. A water utility uses a 4-20 mA s
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NEW PUMP: (450 gpm)(65 ft) Motor hp
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Total operational cost per year. $2
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CT TABLES APPENDIX 367 | A dvanced
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Advanced Waterworks Mathematics, 2019a

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