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Applied Water Math
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Questions in this quiz (40)
1In a treatment plant, 250 lbs/day of dry alum are added to flow of 1,550,000 gallons per day. What is the dosage in milligrams per liter?
- A19.34 mg/l
- B1.67 mg/l
- C16.7 mg/l
- D12.51 mg/l
2A chemical feed pump lowers a 30 inch diameter chemical container 17 inches in 3 hours. What is the chemical feed rate in gallons per day?
- A168 gallons per day
- B294 gallons per day
- C416 gallons per day
- D461 gallons per day
3A pipeline 10 inches in diameter and 900 feet long is to be treated with a chlorine dose of 50 mg/L. How many pounds of chlorine will be required?
- A0.5 lbs
- B2.0 lbs
- C1.5 lbs
- D2.8 lbs
4The desired solution feed rate has been determined to be 75 gpd. What is this feed rate expressed as mL/min?
- A379 mL/min
- B197 mL/min
- C210 mL/min
- D144 mL/min
5How many gallons of hypochlorite (5% available chlorine) have to be added to 350 gallons of water to produce a 200 mg/L chlorine solution?
- A2.4 gal
- B8.34 gal
- C1.4 gal
- D11.7 gal
6With the inflow water shut off to a rapid sand filter, the water observed to drop 20 inches in nine minutes. What is the velocity of the water dropping in feet per minute?
- A0.167 ft/min
- B1.67 ft/min
- C0.185 ft/min
- D0.125 ft/min
7A circular clarifier, 50 feet in diameter with a circular launder, receives a flow of 1,931,000 gallons per day. What is the Weir Overflow Rate in gallons per day per foot?
- A10,779 gpd/ft
- B12,300 gpd/ft
- C14,677 gpd/ft
- D16,331 gpd/ft
8A chemical feed pump lowers a 42-inch diameter chemical container 1.3 inches in 90
minutes. What is the chemical feed rate for a 24 hour period?- A275 gpd
- B119 gpd
- C325 gpd
- D52.25 gpd
9The totalizer of the meter on the discharge side of your pump reads in hundreds of
gallons. If the totalizer shows a reading of 108 at 1:00 p.m. and 312 at 1:30 p.m., what
the pumping rate expressed in gallons per minute?- A680 gpm
- B2,040 gpm
- C1,872 gpm
- D6,480 gpm
10A flow of 0.9 MGD is treated with sodium fluorosilicate to provide a fluoride ion dose of 1.3 mg/L. What is the feet rate in pounds per day? Commercial sodium fluorosilicate has a purity of 98.5 percent and the fluoride ion availability of 61 percent.
- A9.8lbs/day
- B59.8lbs/day
- C16.2 lbs/day
- D28.1 lbs/day
11What is the gallons per day flow rate through a channel that is 3 feet wide with the water flowing to depth of 16 inches at a velocity of 2 feet per second?
- A5,985 gpd
- B5,157,251 gpd
- C5,171,999 gpd
- D3,391 gpd
12Calculate the time required for water to flow from the pump suction side to the pump discharge using the following information:
The diameter of a pump column in inches, eight in.
Discharge rate from the pump in gallons per minute, 243 GPM Length of pump column from suction to discharge in feet, 324 feet- A3.50 minutes
- B3.48 minutes
- C4.30 minutes
- D4.00 minutes
13Express 423,690 cu ft/day as gpm.
- A4,236 gpm
- B6,900 gpm
- C2,201 gpm
- D4,230 gpm
14The velocity of the water supply in the hydrant was determined to be 18 feet per second
and the pumper connection is 4.5 inches. What is the flow rate in gallons per minute?- A892 gal/min
- B801 gal/min
- C198 gal/min
- D420 gal/min
15The motor horsepower requirement is calculated to be 45 hp. How many kilowatts electric power does the represent?
- A25.50 kW
- B33.60 kW
- C55.70 kW
- D60.32 kW
16A wet well is 12 feet long and 10 feet wide. The influent valve to the wet well is closed. If the pump lowers the water level 2.6 feet during a 5 minute pumping test, what is the gpm pumping rate?
- A234 gpm
- B340 gpm
- C401 gpm
- D467 gpm
17During a five-minute well yield test, a total of 740 gallons of water was pumped from the well. At this yield, if the pump is operated a total of nine hours each day, how many gallons of water are pumped daily?
- A79,920 gpd
- B9,100 gpd
- C148 gpd
- D9,920 gpd
18How many pounds of copper sulfate will be needed to dose a reservoir with 0.5 mg/L copper? The reservoir volume is 20 million gallons. The copper sulfate is 25 percent copper.
- A83.4 lbs
- B183.4 lbs
- C233.6 lbs
- D333.6 lbs
19Convert 50 gallons to Liters.
- A13.2 liters
- B188.5 liters
- C180.5 liters
- D189.3 liters
20A water tank has an overflow 115 feet above a nearby fire hydrant. Disregarding friction losses, the pressure at the hydrant when the tank is overflowing is how much in psi?
- A49 psi
- B50 psi
- C45 psi
- D48 psi
21A total chlorine dosage of 8 mg/l is required to treat particular water. If the flow is 1.6 MGD and the hypochlorite has 65% available chlorine, how many lbs/day of the hypochlorite will be required?
- A107 lbs
- B164 lbs
- C155 lbs
- D134 lbs
22How many kilowatt-hours per day are required by a pump with a 40 horse power motor, when the pump operates 24 hours per day?
- A716 kWh/day
- B415 kWh/day
- C960 kWh/day
- D875 kWh/day
23A new well is to be disinfected using 6 percent Sodium Hypochlorite. If the well casing diameter is 6 inches and the length of the water filled casing is 130 feet, how many gallons of hypochlorite will be required?
- A1.33 gal
- B0.08 gal
- C8.0 gal
- D0.16 gal
24A water flow of 917, 000 gpd requires a chlorine dose of 2.6 mg/L. If calcium hypochlorite is to be used, how many lbs/day of hypochlorite are required?
- A20 lbs/day
- B50 lbs/day
- C65 lbs/day
- D31 lbs/day
25A repaired well with a casing diameter of 12 inches is to be disinfected. If the casing is 195 feet and the water level in the well is 78 feet from the top of the well, how many pounds of Calcium Hypochlorite will be required?
- A0.9 lbs
- B1.0 lbs
- C0.5 lbs
- D0.3 lbs
26Convert 195 mg/L to gpg (grain per US gallon).
- A11.4 gpg
- B12.1 gpg
- C10.9 gpg
- D12.9 gpg
27A flow of 1.7 MGD is treated with sodium fluoride. The raw water contains 0.2 mg/L of fluoride ion and the desired fluoride concentration is 1.1 mg/L. What should be the chemical feed rate in pounds per day, assuming each pound of commercial sodium fluoride contains 0.6 pounds of fluoride ion and is 98 percent pure.
- A12.8 lbs/day
- B21.3 lbs/day
- C9.0 lbs/day
- D27.1 lbs/day
28How many gallons of water are in a tank 20 feet in diameter, and 35 feet deep? The target indicates that the depth of water is 22 feet and the water level indicates that the water is 13 feet from the top of the tank.
- A30,615 gal
- B82,425 gal
- C25,987 gal
- D51,672 gal
29A flow of 500 GPM of water is to be pumped against a total head of 100 feet by a pump with a efficiency of 70%. What is the pump horse power?
- A20 horsepower
- B18 horsepower
- C15 horsepower
- D16 horsepower
30Using a 1.2% polymer solution, how many pounds of pure polymer must be used per day if, during a 20-minute calibration test, the solution level in the 3 feet diameter chemical tank drops 0.13 feet. (Assume the polymer solution weighs 8.34 lbs/gal.)
- A68.9 lbs
- B55.1 lbs
- C49.5 lbs
- D49.2 lbs
31 If alum costs $30 per ton, how much will it cost per year to treat a flow of 1.5 million gallons per day if the average dose is 18 mg/L?
- A$1,150.00 per year
- B$1,233.00 per year
- C$1,031.00 per year
- D$1,433.00 per year
32 If 12 hp is supplied to a motor (mhp), what is the brake horsepower using a 90% efficient motor?
- A9.5 BHP
- B9.0 BHP
- C10.8 BHP
- D7.2 BHP
33 A zeolite softener contains 90 cubic feet of media with a hardness removal capacity of 25,000 grains per cubic foot of media. The water being treated has a hardness of 250 mg/L of CaCO3. How much water can be treated before the softener will require regeneration?
- A154,110 gal
- B225,000 gal
- C140,600 gal
- D146,000 gal
- EDon't Know
34A trench 4 feet wide, 390 feet long and 6.3 feet deep is to be excavated for a water main. How many cubic yards of soil must be excavated for the water main?
- A364 cu yd
- B1,092 cu yd
- C3,276 cu yd
- D346 cu yd
35What is the detention time in a storage tank 20 feet high and 30 feet in diameter when the rate of flow is 500,000 gallons per day? Convert answer to hours and/or hour and minutes.
- A5 hrs 4 min.
- B5.0 hours
- C5 hrs 15 min.
- D5 hrs 30 min.
36A tank is 60 feet wide, 10 feet deep and 15 feet long. What is the volume of the tank?
- A900 cu ft
- B8,900 cu ft
- C9,000 cu ft
- D9,100 cu ft
37A standpipe is to be painted with two coats of paint covering 220 square feet per gallon. How many gallons are required to paint the exterior of the 105 feet tall tank measuring 30 feet in diameter?
- A79 gallons
- B97 gallons
- C86 gallons
- D68 gallons
38A particular pump is discharging 900 gpm against a total head of 82 feet. The wire-to water efficiency is 83 percent and the power rater is $0.02/kW-h. What is the power cost for 14 hours?
- A$2.47
- B$4.69
- C$1.78
- D$3.45
39Convert a flow rate of 300 gallons per minute to cubic feet per second.
- A0.67 CFS
- B0.78 CFS
- C0.65 CFS
- D0.76 CFS
40Estimate the detention time in hours for a rectangle sedimentation basin. The basin is 9 feet deep, 20 feet wide and 40 feet long. The plant flow is 0.75 MGD.
- A1.7 hrs
- B2.3 hrs
- C4.1 hrs
- D3.1 hrs
Information
- Description
- Questions from the Arkansas Environmental Training Academy
- Author
- Austin Frazier
- Language
- English
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