Advanced Waterworks Mathematics, 2019a

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gal 25,568,144 day ? people = = 204,545.152 people = 204,545 people 125 GPCD 8. A house of 5 people used 42 CCF of water in 45 days. What is their gpcd within their household? 42 CCF 748 gal 31,416 gal 1 1 CCF 31,416 gal 698.1333 gpd = 698 gpd 45 days 698 gal day = 139.6 gpcd = 140 gpcd 5 people 9. In question 8, what would the gpcd be if you took out 70% of the usage and classified it as outdoor usage? 140 gpcd 0.70 98 gpcd outdoor usage 140 gpcd 0.30 42 gpcd indoor usage 354 | A dvanced Waterworks Mathematics
Practice Problems 12.1 1. A well has a nitrate level that exceeds the MCL of 63 mg/L. Over the last 4 sample results it has averaged 71 mg/L. A nearby well has a nitrate level of 40 mg/L. If both wells combined pump up to 1,575 gpm, how much flow is required from each well to achieve a nitrate level of 50 mg/L? Well A – 71 mg/L Well B – 40 mg/L Desired result “C” – 50 mg/L To determine the percentage of Source A required for the blend, the desired result minus the low result is divided by the high result minus the low result. C - B = A - B 50 mg/L - 40 mg/L 10 mg/L = = 0.3225 71 mg/L - 40 mg/L 31 mg/L This says that 32% of Well A is needed to achieve the desired blended result. To determine the percentage of Source B required for the blend, the high result minus the desired result is divided by the high result minus the low result. A - C = A - B 71 mg/L - 50 mg/L 21 mg/L = = 0.6774 71 mg/L - 40 mg/L 31 mg/L This says that 68% of Well B is needed to achieve the desired blended result. Well A: 1,575 gpm 0.32 = 504 gpm Well B: 1,575 gpm 0.68 = 1,071 gpm 2. A well (A) has shown quarterly arsenic levels above the MCL over the last year, of 16 ug/L, 22 ug/L, 20 ug/L and 10 ug/L. A utility wants to blend this well to a level of 6.0 ug/L with a well (B) that has a level of 2.1 ug/L. The total production needed from both of these wells is 4,100 gpm. How much can each well produce? Remember that it is best to take the highest result when calculating blend volumes. Well A: 22 ug/L Well B: 2.1 ug/L Desired result: 6.0 ug/L Well A: C - B = A - B 6 ug/L - 2.1 ug/L 3.9 ug/L = = 0.19597 22 ug/L - 2.1 ug/L 19.9 ug/L 355 | 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
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Example: What is the entire interio
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Practice Problems 2.1 1. What is th
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8. What is the entire interior surf
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5. A standpipe needs to be painted.
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Then, calculate the volume of the t
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2 1 2 Trapezoidal Prism = H L 8.5
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Exercise 2.2 1. What is the volume
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2.3 AREA AND VOLUME WORD PROBLEMS W
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Figure 2.20 19 Step 4: Put the info
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Step 3: Make a sketch to clarify th
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Figure 2.22 21 When looking at a pr
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Calculate the volume of the cylinde
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4. A water tank truck delivered 30
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Exercise 2.3 1. A water utility ope
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6. A private contractor needs water
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2.4 FLOW RATE Flow rate is the meas
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Key Terms circumference - the dist
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4. What is the diameter of a pipe t
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4. What is the diameter of a pipe t
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Substance Specific Gravity Weight C
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5. The specific gravity of 25% Alum
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To convert between a percentage and
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And now we are moving to the row fo
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Practice Problems 3.2 1. An 87.5% c
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Exercise 3.2 Solve the following pr
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3.3 MIXING AND DILUTING SOLUTIONS T
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Total Volume of the new solution is
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3. A chlorine storage tank that is
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3. A chlorine storage tank that is
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The following charts or Pie Wheels
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At only a 10% concentration, you wi
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Now the question is asking how many
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Key Terms chlorine demand - the
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3. How many pounds of 24.5% sodium
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7. A water treatment operator adjus
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11. An operator added 422 gallons o
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3. How many pounds of 12.5% sodium
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7. A water treatment operator adjus
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11. An operator added 275 gallons o
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Weirs can either be sharp-crested o
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Weir Overflow Rate (gpm/ft) = ? gpm
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Key Terms weir - an overflow stru
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5. A treatment plant processes 8.4
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5. A treatment plant processes 15 M
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UNIT 6 6.1 DETENTION TIME Detention
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D = t Volume Flow gallons million
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Rearranging the terms in the detent
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3. A water utility engineer is desi
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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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5. A conventional water treatment p
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7. A direct filtration plant is ope
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4. A conventional water treatment p
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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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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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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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Practice Problems 11.1 1. What is t
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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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Page 303 and 304: To convert ppb to ppm, you divide p
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Page 315 and 316: Weir Length (ft) = 4,791.67 gpm 41
Page 317 and 318: quality objectives of a certain tre
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Page 325 and 326: 4,700,000 gal 1 day ? min = 1,554.
Page 327 and 328: 4. A conventional water treatment p
Page 329 and 330: Now look at Table C-7 Inactivation
Page 331 and 332: 500 mg/L min CT is required. Locati
Page 333 and 334: Location and Type of Disinfection T
Page 335 and 336: Practice Problems 8.1 1. What is th
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Page 343 and 344: Practice Problems 10.1 1. What is t
Page 345 and 346: 3. A well with pumps located 46 ft
Page 347 and 348: (630 gpm)(130 ft) 65 hp = (3,960)(?
Page 349 and 350: electrical rate of $0.111 per kW-Hr
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Page 357 and 358: -137.5 mg/L ? mg/L = = 275 mg/L - (
Page 359 and 360: Practice Problems 13.1 1. A 4-20 mA
Page 361 and 362: 7. A water utility uses a 4-20 mA s
Page 363 and 364: NEW PUMP: (450 gpm)(65 ft) Motor hp
Page 365 and 366: Total operational cost per year. $2
Page 367 and 368: CT TABLES APPENDIX 367 | A dvanced
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Advanced Waterworks Mathematics, 2019a

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