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2 COURSE OUTLINE: Module # Name Practice Test included Module 1: Basic Math Refresher Module 2: Fractions, Decimals and Percents Module 3: Measurement Conversions Module 4: Linear, Area and Volume Calculations Module 5: Solving Equations Module 6: Chemical Measurements Module 7: Hydraulics Module 8: Wastewater Electricity

3 MODULE 3 Measurement Conversions 1 Practice Test Answer Key

4 MODULE 3 PRACTICE TEST MEASUREMENT CONVERSIONS 1) Convert 100 ml/sec to L/sec. a. 100,000 L/sec b. 10 L/sec c. 0.1 L/sec d L/sec 100 ml x 1 L = 100 ml L = 0.1 L/sec 1 sec 1000 ml 1000 sec ml Write numbers given as a fraction Write the conversion as a fraction (found on the formula sheet) 2) Convert 75 ml/sec to L/sec a. 75,000 L/sec b L/sec c L/sec d. 750 L/sec 3) Convert 345 m/minute to m/s a m/s b. 20,700 m/s c. 8 m/s d m/s 345 m x 1 minute 1 minute 60 s = 5.75 m/s 2

5 MODULE 3 PRACTICE TEST 4) Convert 1000 ml/s to lpm a lpm b lpm c lpm d. 60 lpm 1000 ml x 60 s x 1 litre = 60,000 ml s litre = 60 litre/min 1 s 1 minute 1000 ml 1000 ml s min 5) Convert ml/s to lpm a lpm b. 540 lpm c lpm d lpm 6) Convert 18 m³/s to lpm a. 18,000 lpm b. 18,000,000 lpm c lpm d. 1,080,000 lpm 18 m³ x 1000 L x 60 s = 1,080,000 lpm 1 s 1 min 1 m³ 7) Convert m³/s to lpm a. 45,670 lpm b. 45,670,000 lpm c. 2,740,000 lpm d. 2,740 lpm 8) Convert 300 L in 15 seconds to L/min a L/min b. 18,000 L/min c. 270,000 L/min d. 2,700,000 L/min 3

6 MODULE 3 PRACTICE TEST 300 L x 60 s = 18,000 L s = 1200 L/min 15 s 1 min 15 s min 9) Convert 76,000,000 L/day to cubic metres per second. a cu. m/s b cu. m/s c cu. m/s d. 760 cu. m/s 76,000,000 L x 1 m³ x 1 day = cubic metres per second 1 day 1000 L 86,400 s 10) How many kilograms of water are in a standpipe containing 5678 L? a kilograms b. 5,678 kilograms c. 56,780 kilograms d kilograms 5678 L =? kg On the formula sheet we know that 1 L of water weighs 1 kg. So 5678 L of water would weigh 5678 kg!! 11) A water meter in a residential home measures that 25 cubic metres of water are used every 30 days. What is the daily water use expressed in cubic metres, and litres? a. 25 m³, 250 L b. 25 m³, L c. 0.83³ m, 830 L d. 0.83³ m, L 25 m³ = 30 days? m³ 1 day = m³ /day m³ =? L 1 m³ 1000 L = L 4

7 MODULE 3 PRACTICE TEST 12) An empty atmospheric storage tank has a volume of 31.4 m³. How long will it take to fill 90% of the tank volume if a pump is discharging a constant 60 litres per minute into the tank? a. 7 hours 51 minutes b. 8 hours 21 minutes c. 8 hours 23 minutes d. 9 hours 17 minutes 31.4 m³ =? L 1 m³ 1000 L (90% converted to a decimal is 0.9) = 31,400 L volume of the tank We re only wanting to fill 90% of it so 31,400 x 0.9 = 28,260 L If the pump discharges 60 L = 1 min 28,260 L? min = 471 minutes 471 minutes =? hours 60 min 1 hour = 7 hours and some minutes left over How many minutes in 7 full hours? 7 hours x 60 minutes = 420 minutes So 471 minutes 420 minutes = 51 minutes left over. Answer: 7 hours and 51 minutes 13) A chemical solution contains 2.5 lbs per Imperial gallon. What is this in g/l? a. 250 g/l b. 2.5 g/l c. 300 g/l d. 25 g/l grams on the formula sheet is abbreviated gr 2.5 lbs x g x 1 gal = 1134 lbs g gal = g/l 1 gal 1 lb 4.54 L 4.54 gal lbs L 5

8 MODULE 3 PRACTICE TEST 14) A small pump can discharge 17 litres of water every two days. Calculate that in litres per minute. a. 1.7 lpm b lpm c lpm d lpm 17 L x 1 day = litres per minute 2 days 1440 min 15) 890,000 litres of water flows through a pipe every hour. How many litres will flow through that pipe every second? a L/s b. 247 L/s c. 323 L/s d. 476 L/s 16) How many kilograms of a chemical applied at the rate of 3 mg/l are required to dose 200,000 litres? a. 0.2 kg b. 0.6 kg c. 4 kg d. 8 kg 3 mg = 1L? 200,000 L = 600,000 mg Convert to kg: 600,000 mg =? kg = 0.6 kg 1,000,000 mg 1 kg 6

9 MODULE 3 PRACTICE TEST 17) 25 o Centigrade is equal to how many degrees Fahrenheit? a. 101 o b. 91 o c. 11 o d. 77 o Fahrenheit = (25 x 9/5 ) + 32 (Change the fraction into a decimal 9 5 = 1.8) = (25 x 1.8) + 32 = = 77 ⁰F 18) Convert 60.5 degrees Fahrenheit to degrees Celsius. a degrees Celsius b degrees Celsius c degrees Celsius d degrees Celsius Celsius = ( ) x 5/9 (Change the fraction into a decimal 5 9 = ) = (28.5) x = 15.8 ⁰C 19) Convert 88 degrees Celsius to Fahrenheit. a. 190 ⁰F b. 120 ⁰F c. 31 ⁰F d. 36 ⁰F 20) Convert 0 ⁰C to ⁰F a. 0 ⁰F b. 32 ⁰F c. 34 ⁰F d. 58 ⁰F 21) Convert 90 ⁰F to ⁰C a. 58 ⁰C b. 32 ⁰C c. 104 ⁰C d. 30 ⁰C 7

10 MODULE 3 PRACTICE TEST 8

11 MODULE 4 Linear, Area and Volume 1 Practice Test Answer Key

12 MODULE 4 PRACTICE TEST LINEAR, AREA AND VOLUME 1) If a clarifier has a diameter of 20.7 m, and a height of 26.2 m, what is the surface area of the water within the clarifier? a m 2 b m 2 c m 2 d m 2 Area of circle = π D² 4 = 3.14 (20.7)² 4 = 3.14 (428.49) 4 = Area = m² 2) What is the volume of water that is in a tank that is 38.1 m long and 21 m wide, and has a depth of 5.2 meters? a. 4,160,520 litres b. 4,629,002 litres c. 1,741,445 litres d. 555,036 litres Volume = L x W x H From formula sheet 1000 L = 1 m³ = 38.1 m x 21 m x 5.2 m So 1000 L = 1 m³? m³ = m³ Cross multiply, then divide by the third # Volume = 4,160,520 L 2

13 MODULE 4 PRACTICE TEST 3) If a storage tank is 23 m long, 11 m wide, and 4.25 m deep how many litres of water would it take to overflow the tank? a. 1,075,254 litres b. 889,534 litres c. 1,160 litres d. 18,598 litres Convert to Litres Volume = L x W x H 1000 L = 1 m³? m³ = 23 m x 11 m x 4.25 m Volume = 1,075,250 L = m³ *any more then this volume of water would overflow the storage tank. 4) An empty atmospheric storage tank is 2 m in diameter and 10 m high. How long will it take to fill 90% of the tank volume if a pump is discharging a constant 60 litres per minute into the tank? a. 7 hours 51 minutes b. 8 hours 21 minutes c. 8 hours 23 minutes d. 9 hours 17 minutes Volume = π D² x H Calculate 90% of this volume 4 31,400 L x 0.9 = 28,260 L = 3.14 (2)² x 10 m 4 If the pump discharges 60 L in 1 min, then how long would it take to fill 28,260 L? = 31.4 m³ 60 L = 1 min. Convert 31.4 m³ to litres 28,260 L? 1000 L = 1 m³ 471 min.? 31.4 m³ = 31,400 L Convert 471 minutes to hours and minutes 471 min 60 minutes = 7.85 This means 7 full hours and 0.85 of an hour (It DOESN T mean 85 minutes!!) So, 7 full hours x 60 min = 420 minutes therefore there are 51 minutes left over ( = 51) Answer = 7 hrs 51 min. 3

14 MODULE 4 PRACTICE TEST 5) Factors of what number are used in the metric system? a. 5 b. 10 c. 12 d. 64 6) A ditch that is 4.5 m wide, 6 m deep and 120 m long has to be dug for a water line. How many cubic meters of material must be removed? a cubic meters b cubic meters c cubic meters d. 9,200 cubic meters 7) How many cubic meters of water will a rectangular tank that is 20 m long by 15 m wide and 10 m high hold? a. 2,000 cubic meters b. 3,000 cubic meters c. 4,000 cubic meters d. 5,000 cubic meters 8) Calculate the volume, in Megalitres, of a tank that is 75 m long, 20 m wide, and 10 m deep. a. 1.5 ML b ML c. 150 ML d. 15 ML Volume = L x W x H Convert Litres to Megalitres = 75m x 20 m x 10 m 1,000,000 L = 1 ML 15,000,000 L? = 15,000 m³ = 15 ML Convert to Litres 1 m³ = 1000L 15,000 m³? = 15,000,000 L 4

15 MODULE 4 PRACTICE TEST 9) Calculate the volume in cubic meters of a circular clarifier 3 meters deep and 14 meters in diameter. a m 3 b. 462 m 3 c. 1,600 L d. 1,300 L 10) If a clarifier has a diameter of 20.7 m, and a height of 26.2 m, what is the surface area of the water within the clarifier? a m 2 b m 2 c m 2 d m 2 11) How many litres of water are in a chemical tank that is 2134 mm in diameter and 6.1 m deep when the water level is only 4.9 m? a litres b litres c litres d litres This # isn t needed!! We re trying to find the volume of water in the tank, not the volume of the tank. Volume = π D² x H Change m³ to L L = 1 m³? m³ Change 2134 mm to m first 1000 mm = 1 m = L 2134 mm? = m Now use the equation = 3.14 (2.134)² x 4.9 m 4 = 3.14 ( ) x 4.9 m 4 = x 4.9 m 4 = x 4.9 m = m³ 5

16 MODULE 4 PRACTICE TEST 12) If a clarifier has a diameter of m, and a height of 3.66 m, what is the surface area of the water within the clarifier? a. 778 m 2 b. 759 m 2 c. 421 m 2 d m 2 13) How many litres of water are in a tank that has a 2.4 m width, a 5.8 m length and is 6.1 m deep? a litres b litres c. 84,912 litres d litres 14) How many litres of water are in a tank that has a 2.4 m width, a 5.8 m length, and 4 m depth, but the water level is only 3.7 m deep? a litres b litres c litres d litres 15) Calculate the amount of water in a pipeline 150 mm in diameter and 10 km long. a. 4,100 L b. 150,000 L c. 177,000 L d. 207,000 L Volume = π D² x H Now put the units into the equation: 4 Volume = 3.14 (0.15m)² x 10,000 m Change all units to metres first 4 before using the equation 1000 mm = 1 m = 3.14 (0.0225m²) x 10,000 m 150 mm? 4 Diameter = 0.15 m = m² x 10,000 m 1000 m = 1 km = m³? 10 km Convert to Litres: 1000 L = 1 m³ Length = 10,000 m? m³ 6 Answer = 176,625 L

17 MODULE 4 PRACTICE TEST 16) Calculate the surface area of a circular clarifier having a diameter of 4.75 m a m² b. 3.7 m² c m² d m² 17) If the same clarifier from the above question was 2.5 m deep, and had a flat bottom, what would its volume be? a. 783,225 L b L c L d. 783 L 18) A rectangular reservoir with vertical walls has its overflow 6 m above its floor. If the water level is 1.5 m below the overflow, what percentage of its maximum capacity does the reservoir contain? a. 75% b. 70% c. 62.5% d. 60% Set up a ratio: If 6 m above the floor = 100% capacity Then 4.5 m above the floor? capacity (4.5 m because the water level is 1.5 m less than overflow which is 6m) Cross multiply and divide by the third number: 4.5 m x 100% 6 m = 75% 19) A square wet well measures 3.5 m wide by 3.5 m long. What is the surface area? a. 7 m² b. 14 m² c m² d. 25 m² 7

18 MODULE 4 PRACTICE TEST 20) A pipe is 25 centimetre in diameter and 3 metres long. What is the volume (capacity) of this pipe? a m³ b m³ c m³ d m³ 21) A water reservoir constructed beneath a water plant has the dimensions: m wide by m long by 3.66 m deep with an operating depth of 3.05 m for storage. Calculate the amount of water in the reservoir at the operating depth. a. 2,488,848 L b. 816,015 L c. 680 L d. 680,013 L This number is not needed! V = L x W x H m x m x 3.05 m = m³ If 1000 L = 1 m³? m³? = 680,013 L 22) A sedimentation tank is 10m wide and 40m long, with water to a depth of 4m. How many cubic meters of water are in the tank? a. 400 L b. 400 cu. m c L d cu. m 23) A plastic rain barrel measures 1 m high with a diameter of 0.87m. Calculate the volume of the barrel in litres. a. 594 L b L c. 683 L d L 8

19 MODULE 4 PRACTICE TEST 24) Find the volume of water displaced (in litres) if a ball having a diameter of 38 cm is submerged in a container of water. a. 151 L b. 230 L c. 229,730 L d. 29 L Volume (of a sphere) = 4 π R³ 3 Diameter = 38 cm, so radius = 19 cm (half the diameter) Convert cm to m: 19 cm =? m 100 cm 1 m = 0.19 m Plug the numbers into the formula: Volume = 4 (3.14) (0.19)³ 3 = m³ Convert to Litres: m³ =? L 1 m³ 1000 L = L 9

20 MODULE 4 PRACTICE TEST 25) A water system has installed 1,450 feet of 12 inch diameter pipe. How many gallons of water will it take to fill the pipe? a gallons b. 24,000 gallons c. 24 gallons d gallons Volume = π D² x H 4 Change 8 inches into metres: 8 in =? m in 1 m = m Change 2,450 feet to metres 2,450 feet =?m 1 foot m = m Plug in the numbers: Volume = 3.14 ( m)² x m 4 = m² x m = m³ Convert m³ to gallons (must convert m³ to litres first and then litres to gallons) m³ =? litres 1 m³ 1000 L = L L =?gallons = gallons 1L gallons 10

21 MODULE 6 Chemical Measurements 1 Practice Test Answer Key

22 MODULE 6 PRACTICE TEST CHEMICAL MEASUREMENTS 1) What is the chlorine dosage in milligrams per litre, if 117,000 m³/day is treated with 219 kg/day of chlorine? a mg/l of chlorine b mg/l of chlorine c mg/l of chlorine d mg/l of chlorine CD = C x 1000 Q CD = 219 x ,000 CD = 1.87 mg/l 2) A chlorinator setting is 14 kg per day. If the flow being treated is MLD, what is the chlorine dosage in mg/l? a. 1.1 mg/l b. 0.6 mg/l c. 3.2 mg/l d. 2.4 mg/l CD = C x 1000 Q Convert Q from MLD to m³/day (first to litres and then to m³) Plug in the numbers: ML =? L CD = 14 kg/day x ML 1,000,000 L 13,020 m³/day = 13,020,000 L CD = mg/l 13,020,000 L =? m³ 1000 L 1 m³ = 13,020 m³/day 2

23 MODULE 6 PRACTICE TEST 3) A treatment plant processes an average of 22,048 L/min. If the lime dosage is 100 grams/min, what is the dosage in milligrams per litre? a. 0.l2 mg/l b. 4.5 mg/l c mg/l d mg/l CD = C x 1000 Q Convert C from 100 grams/min to kg/day: 100 grams x 1440 min x 1 kg = 144 kg/day 1 min 1 day 1000 g Convert Q from 22,048 L/min to m³/day: 22,048 L x 1m³ x 1440 min = 31, m³/day 1 min 1000 L 1 day Plug the numbers into the formula: CD = 144 kg/day x , m³/day CD = mg/l 4) A chlorine dose of 50 kg/day is required to treat water. If calcium hypochlorite (65% available chlorine) is to be used, how many kg/day of hypochlorite will be required? a kg/day b. 77 kg/day c. 50 kg/day d. 142 kg/day Chemical Required (kg) = Pure Chemical % Purity = 50 kg = kg/day 0.65% 3

24 MODULE 6 PRACTICE TEST 5) How many kg of 70% available chlorine are necessary to provide 1.5 kg of chlorine? a kg b kg c. 105 kg d kg Chemical Required (kg) = Pure Chemical (kg) % Purity Chemical Required = 1.5 kg 0.7 = 2.14 kg 6) How many kilograms of 61% calcium hypochlorite are required for a 50-mg/L dosage in a tank that is 33.5 m in diameter and has a water level of 5.8 m? a kg b kg c kg d kg Chemical Required (kg) = Pure Chemical (kg) % purity (decimal) You must calculate the amount of pure chemical you need to add for this size of tank: First: what is the volume of the tank in litres? Volume = 3.14 (33.5m)² 4 x 5.8 m Volume = m³ m³ =? L 1 m³ 1000 L Volume = 5,109, L 4

25 MODULE 6 PRACTICE TEST So, if you put 50 mg of hypochlorite in 1 L, how much would you add to 5,109, L?? mg = 5,109, L 50 mg 1 L = mg of chemical to add to this tank Convert to kg before using the formula: 255,480,212.5 mg =? kg 1,000,000 mg 1 kg = kg Plug numbers into formula Chemical Required (kg) = kg 0.61% Chemical Required = kg 5

26 MODULE 6 PRACTICE TEST 7) A small tank containing 3,795 L of water is to be disinfected using a hypochlorite (hypo) solution. If a dosage of 50 mg/l is desired and the available chlorine in the solution is 12%, how much hypochlorite solution should be added in grams? a grams b grams c. 1,580 grams d. 15,800 grams Chemical Required (kg) = Pure Chemical % purity Calculate amount of pure chemical needed for that much water: 50 mg = 1 L? mg 3795 L = 189,750 mg Convert to kg before using the formula: 189,750 mg =? kg 1,000,000 mg 1 kg = kg Plug numbers into the formula: Chemical Required (kg) = kg 0.12 % Chemical required = kg Convert final answer to grams: kg =? g 1 kg 1000 g = g 6

27 MODULE 6 PRACTICE TEST 8) How many kilograms of a chemical applied at the rate of 50 mg/l are required to dose 200,000 litres? a kg b. 10 kg c. 4 kg d. 8 kg Convert 50 mg/l to kg/l. (You have to first convert mg to g and then g to kg) 50 mg =? g 1000 mg 1 g = 0.05 g 0.05 g =? kg 1000 g 1 kg = kg Set up a ratio: kg = 1 L? kg 200,000 L = 10 kg 9) What is the chlorine demand if the chlorine residual is 2 mg/l and 8.7 mg/l of chlorine has been added? a. 5.3 mg/l b. 1.2 mg/l c. 4.7 mg/l This means the same as chlorine demand d. 6.7 mg/l Total Chlorine Dosage = Chlorine Demand + Chlorine Residual Rearrange the equation and get Chlorine Demand by itself: Dosage = Demand + Residual Residual Do the same to both sides of the equation: Dosage Residual = Demand + Residual Residual Dosage Residual = Demand 7

28 MODULE 6 PRACTICE TEST Plug the numbers into the formula: Demand = 8.7 mg/l 2 mg/l Demand = 6.7 mg/l 10) If the chlorine dose is mg/l and the chlorine residual is 2.20 mg/l, what is the chlorine demand? a mg/l b mg/l c mg/l d mg/l Chlorine demand = Chlorine dosage Chlorine residual Chlorine demand = mg/l 2.20 mg/l = 8.85 mg/l 11) Calculate the chlorine demand using the following data. Raw water flow is 0.75 MLD Chlorinator feed rate is 6.0 mg/l Chlorine residual is 1.8 mg/l a. 0.8 mg/l b. 4.2 mg/l c. 4.0 mg/l d. 5.8 mg/l 12) The chlorine dosage for a water system is 2.9 mg/l. If the chlorine residual after 30 minutes contact time is found to be 0.8 mg/l, what is the chlorine demand in mg/l? a. 0.9 mg/l b. 3.5 mg/l c. 2.1 mg/l d. 2.2 mg/l Chlorine demand = 2.7 mg/l 0.8 mg/l = 2.1 mg/l 8

29 MODULE 6 PRACTICE TEST 13) The difference between the amount of chlorine added to water and the amount of residual chlorine remaining at the end of a specified period is: a. The dosage b. Free available chlorine c. Chlorine residual d. Chlorine demand 14) Chlorine demand can be described as: a. Chlorine Dose, mg/l Chlorine Residual, mg/l b. The chlorine dosage required by the GCDWQ c. Chlorine Dose, mg/l + Chlorine Residual, mg/l d. None of the above 15) The chlorine demand of water is 1.5 mg/l. If the desired chlorine residual is 0.7 mg/l, what is the desired chlorine dose, in mg/l? a. 0.9 mg/l b. 0.7 mg/l c. 2.8 mg/l d. 2.2 mg/l 9

30 MODULE 6 PRACTICE TEST 10

31 MODULE 7 Hydraulics 1 Practice Test Answer Key

32 MODULE 7 PRACTICE TEST HYDRAULICS 1) A pressure gauge reads 80.4 psi. What is the pressure in kpa? a. 4.5 kpa b kpa c. 209 kpa d. 554 kpa 80.4 psi =? kpa psi 1 kpa = kpa 2) If a storage tank, which is completely full, contains 11.3 m of water, what pressure would a pressure gauge read that is located 1.5 m above the bottom of the tank? a kpa b kpa c kpa d kpa We know (from the formula sheet) that 1 metre of hydraulic head = 9.81 kpa 11.3 m gauge located 1.5 m from bottom 11.3 m 1.5 m = 9.8 m 9.8 m =? kpa 1 m 9.81 kpa = 96.1 kpa 2

33 MODULE 7 PRACTICE TEST 3) There are two standpipes in a distribution system and both of them are 20 m tall, with water up to the top. One of them holds 1.9 mega litres and the other holds 0.6 mega litres, how much pressure would be exerted in kilopascals? a. 196 kpa b kpa c. 571 kpa d. 669 kpa The diameter of the standpipes doesn t matter, only the height of the water, which is 20 m: 20 m =? kpa 1 m 9.81 kpa = kpa of pressure in each standpipe. 4) Two columns of water are filled completely at sea level to a height of 31 meters. Column A is 0.5 meters in diameter. Column B is 5 meters in diameter. What will two pressure gauges, one attached to the bottom of each column, read? Column A Column B a. 38 kpa 380 kpa b. 88 kpa 80 kpa c. 203 kpa 203 kpa d. 304 kpa 304 kpa Pressure is not affected by diameter of the tank! 5) If a pressure gauge on a pump reads 77 meters, how much pressure in kpa would be on the pump? a kpa b. 755 kpa c kpa d kpa 3

34 MODULE 7 PRACTICE TEST 6) The pressure gauge at the bottom of a tank is 105 kpa. What is the depth of water in the tank? a m b m c m d m 105 kpa =? m 9.81 kpa 1 m = 10.7 m 7) If a pressure gauge reads 1070 kpa, what would the pressure head be in meters? a. 109m b. 77m c. 151m d. 173m 8) During a routine pressure test of a fire hydrant the gauge reads 455 kpa. What was the pressure head in meters? a m b m c m d m 9) If a pressure gauge on a fire hydrant reads 120 m, what is the pressure head in kpa? a kpa b kpa c kpa d kpa 10) What would the wire to water efficiency be on a pump that had water power of 16 kw and motor power of 21 kw? a. 89% b. 76% c. 99% d. 69% This question is looking for the motor efficiency. Use the formula: Motor Power = Water Power Motor Efficiency Rearrange to solve for Motor Efficiency 4

35 MODULE 7 PRACTICE TEST Plug the numbers into the equation: 21 kw = 16 kw Motor Effic. Get the unknown in the numerator: 21 kw ( Motor Effic.) = 16 kw Divide both sides by 21, to get the unknown by itself: 21 kw (Motor Effic.) = 16 kw 21 kw 21 kw Motor Efficiency = 16 kw 21 kw Motor Efficiency = 0.76 kw Change to a percent by multiplying by 100%: 0.76 x 100% = 76% 11) How is the velocity of water flow normally expressed? a. Meters per minute b. Litres per minute c. Litres per cm d. Meters per second 12) Calculate the average weekly flow for a system with the following data. Sunday - 3,000 litres Monday - 4,000 litres Tuesday - 3,500 litres Wednesday - 2,000 litres Thursday - 3,000 litres Friday - 3,500 litres Saturday - 2,000 litres a. 2,000 Lpd b. 3,000 Lpd c. 4,000 Lpd d. 5,000 Lpd 21,000 litres = 7 days? litres day = 3000 L/day 5

36 MODULE 7 PRACTICE TEST 13) Water is draining at a rate of 0.3 m/hr from a reservoir that is 4.6 m high, 7.6 m wide and 7.6 m long. How many litres of water are flowing out of the tank in that 1-hour? a. 2,650.7 L/hour b. 2,805 L/hour c. 17,328 L/hour d. 265,696 L/hour 0.3 m/hour draining out 4.6 m 7.6 m 7.6 m If 0.3 m/hour is draining out, how much volume (m³) is actually draining out? Well, if the height that is draining out is 0.3 m then the length & width of the volume are each 7.6 m Volume = L x W x H = 7.6 m x 7.6 m x 0.3 m = m³ Convert from m³/hour to L /hour: m³ x 1000 L = 17,328 L/hour 1 hour 1 m³ 14) If a pipe has a 300 mm diameter, what is the velocity of the water if the pipe is carrying 0.090m 3 /sec? a m/sec b m/sec c m/sec d m/sec Use the formula Velocity = Flow Rate Area Change 300 mm to m: 300 mm =? m 1000 mm 1m = 0.3 m 6

37 MODULE 7 PRACTICE TEST Calculate area: Area = 3.14 (0.3m)² 4 = m² Put numbers into the velocity equation: Velocity = m³/sec m² = 1.27 m/sec 15) A 150 mm diameter pipe is carrying 379 Lpm. What is the velocity of the flow in m/sec? a. 0.93m/sec b m/sec c m/sec d m/sec Use the velocity formula: Velocity = Flow Rate Area You have to convert 379 lpm to m³/s before using the formula: 379 L x 1 m³ x 1 min = m³/sec 1 min 1000 L 60 sec Now calculate the area: (convert 150 mm to 0.15 m first) Area = 3.14 (0.15 m)² 4 = m² Now use the velocity formula: Velocity = m³/sec m² = 0.36 m/sec 7

38 MODULE 7 PRACTICE TEST 16) A sedimentation tank has a capacity of 60,000 litres. In one hour, 20,800 litres of water flow to the clarifier. What is the detention time? a hours b hours c hours d hours Detention Time(s) = Volume (m³) Flow Rate (m³/s) Convert the volume of 60,000 L to m³: 60,000 L =? m³ 1000 L 1 m³ = 60 m³ Convert Flow from 20,800 L/hour to m³/second: 20,800 L x 24 hours x 1 m³ 1 hour 86,400 seconds 1000 L = m³/second Plug the numbers into the formula: Detention Time = 60 m³ m³/s Change seconds to hours: = 10, seconds 10, s =? hours 86,400 s 24 hours Answer = 2.88 hours 8

39 MODULE 7 PRACTICE TEST 17) Find the detention time in minutes for a clarifier that has a diameter of 46.3 m and a water depth of 2.5 m, if the flow rate is 30.9 MLD. a. 32 minutes b. 197 minutes c. 775 minutes d. 5,664 minutes Detention Time(s) = Volume (m³) Flow Rate (m³/s) Volume of a Cylinder = π D² x H 4 volume = 3.14 (46.3)² x 2.5 m 4 volume = m³ Convert flow rate to m³/s: 30.9 ML x 1,000,000 L x 1 m³ x 1 day = 30,900,000 = m³/s 1 day 1 ML 1000 L 86,400 s 86,400,000 Plug numbers into formula: Detention Time = m³ m³/s = s Convert seconds to minutes: s =? minutes 60 s 1 minute Answer = minutes 9

40 MODULE 7 PRACTICE TEST 18) Brake horsepower is: a. The power delivered by the motor to the pump. b. The power delivered by the pump. c. Always greater than the motor horsepower. d. Always less than the motor horsepower. 19) What is the term for the combined efficiency of a pump and motor that is obtained by multiplying the pump efficiency by the motor efficiency? a. Total system efficiency b. Well efficiency c. Wire-to-water efficiency d. Motor-to-pipe efficiency 10

41 FINAL ASSESSMENT 1 Answer Key

42 FINAL ASSESSMENT 1) Convert ml/s to lpm a lpm b. 540 lpm c lpm d lpm ml x 60 s x 1 L 1 s 1 min 1000 ml = 1.04 lpm 2) If a pump discharges 10,350 L in 3 hours and 45 minutes, how many litres per minute is the pump discharging? a. 42 lpm 3.75 hours b. 44 lpm c. 45 lpm d. 46 lpm 10,350 L x 1 hr 3.75 hr 60 min = 46 lpm 3) An empty atmospheric storage tank has a volume of 31.4 m³. How long will it take to fill 60% of the tank volume if a pump is discharging a constant 60 litres per minute into the tank? a. 5 hours 19 minutes b. 8 hours 21 minutes c. 8 hours 23 minutes d. 5 hours 14 minutes Convert the volume to Litres: 31.4 m³ =? L 1 m³ 1000 L (90% converted to a decimal is 0.9) = 31,400 L volume of the tank We re only wanting to fill 60% of it so 31,400 x 0.6 = 18,840 L 2

43 FINAL ASSESSMENT If the pump discharges 60 L = 1 min 18,840 L? min = 314 minutes Convert minutes to hours: 314 minutes =? hours 60 min 1 hour = 5 hours and some minutes left over How many minutes in 5 full hours? 5 hours x 60 minutes = 300 minutes So 314 minutes 300 minutes =14 minutes left over. Answer: 5 hours and 14 minutes 4) Convert 88 degrees Celsius to Fahrenheit. a. 190 ⁰F b. 120 ⁰F c. 31 ⁰F d. 36 ⁰F Fahrenheit = (88 x 9/5) + 32 = 190.4⁰F 5) Convert 38 ⁰F to ⁰C. a. 0 ⁰C b. 3.3 ⁰C c. 34 ⁰C d. 3.4 ⁰C Celsius = (38 32) x 5/9 = 3.3 ⁰C 3

44 FINAL ASSESSMENT 6) How many litres of liquor are in a treatment process tank that has a 4.4 m width, an 11m length, and a 6.5 m depth, but the liquor level is only 1 m deep? a. 72,600 litres b. 143,000 litres c. 48,400 litres d. 58,117 litres This # isn t needed! 7) A water system has installed 2,450 feet of 8 inch diameter pipe. How many gallons of water will it take to fill the pipe? a. 11,000 gallons b. 24 gallons c gallons d. 33,700 gallons Volume = π D² x H 4 Change 8 inches into metres: 8 in =? m in 1 m = m Change 2,450 feet to metres: 2,450 feet =?m 1 foot m = m Plug the numbers into the formula: Volume = 3.14 ( m)² x m 4 = m² x m = m³ Convert m³ to gallons (must convert m³ to litres first and then litres to gallons): m³ =? litres 1 m³ 1000 L = L L =? gallons = gallons 1L gallons 4

45 FINAL ASSESSMENT 8) Find the velocity of water in a channel if it takes 22 minutes for water to travel a distance of 504 metres in the pipe. a. 0.7 m/s b. 0.38m/s c. 720 m/s d. 600 m/s Velocity = Distance Time Convert 22 minutes to seconds: 22 min =? sec 1 min 60 sec = 1320 seconds Plug the numbers into the formula: Velocity = Velocity = m/s 9) A channel 2.1 m wide has water flowing through it at a depth of 0.9 m and a velocity of 1.3 m/s. Find the flow through the channel in cubic meters per second. a m³/s b m³/s c m³/s d m³/s Flow Rate = Velocity x area Calculate area: A = l x w A = 2.1 m x 0.9 m A = 1.89 m² Plug numbers into the formula Flow Rate = 1.3 m/s x 1.89 m² = m³/s 5

46 FINAL ASSESSMENT 10) The wastewater at a plant is dosed with 4.7 mg/l of chlorine. If the chlorine residual after 30 minutes contact time is found to be 0.8 mg/l, what is the chlorine demand in mg/l? a. 0.9 mg/l b. 3.5 mg/l c. 3.9 mg/l d. 2.1 mg/l Chlorine demand = 4.7 mg/l 0.8 mg/l = 3.9 mg/l 11) How many kg of 90% available chlorine are necessary to provide 6.0 kg of chlorine? a kg b kg c. 6.7 kg d. 6.0 kg Chemical Required (kg) = Pure Chemical (kg) % Purity Chemical Required = 6.0 kg 0.7 Answer = 6.67 kg 12) A treatment plant processes an average of 80,000 L/min. If the lime dosage is 75 grams/min, what is the dosage in milligrams per litre? a. 108 mg/l b mg/l c mg/l d mg/l CD = C x 1000 Q Convert C from 114 grams/min to kg/day: 75 grams x 1440 min x 1 kg = 108 kg/day 1 min 1 day 1000 g Convert Q from 22,048 L/min to m³/day: 6

47 FINAL ASSESSMENT 80,000 L x 1m³ x 1440 min = 115,200 m³/day 1 min 1000 L 1 day Plug the numbers into the formula: CD = 108 kg/day x ,200 m³/day CD = mg/l 13) How many kilograms of 80% calcium hypochlorite are required for a 50-mg/L dosage in a tank that is 15.5 m in diameter and has a water level of 5.8 m? a kg b. 547 kg c. 546 kg d. 684 kg Chemical Required (kg) = Pure Chemical (kg) % purity (decimal) You must calculate the amount of pure chemical you need to add for this size of tank: First: what is the volume of the tank in litres? Volume = 3.14 (15.5m)² 4 x 5.8 m Volume = m³ m³ =? L 1 m³ 1000 L Volume = 1,093, L So, if you put 50 mg of hypochlorite in 1 L, how much would you add to 5,109, L?? mg = 1,093, L 50 mg 1 L = 54,692,912.5 mg of chemical to add to this tank Convert to kg before using the formula: 7

48 FINAL ASSESSMENT 255,480,212.5 mg =? kg 1,000,000 mg 1 kg = kg Plug numbers into formula Chemical Required (kg) = kg 0.80% Chemical Required = kg 14) The pressure gauge at the bottom of a tank is 300 kpa. What is the depth of water in the tank? a. 31 m b. 17 m c. 27 m d. 11 m 300 kpa =? m 9.81 kpa 1 m = m 15) Find the motor power for a pump station with the following parameters: Motor Efficiency: 92% Pump Efficiency: 79% Total Head: 52 m Flow: 7 MLD a kw b kw c kw d kw Motor Power = Water Power (Q x H) 6125 Ep x Em Convert 7 MLD to L/min: 8

49 FINAL ASSESSMENT 7 MLD x 1,000,000 L x 1 day 1 day 1 MLD 1440 min = L/min Plug the numbers into the formula: x 52 m 6125 = = kw 0.92 x ) A treatment pond operates with an average depth of 6 ft. The width of the pond is 400 ft., and the length is 650 ft. The flow to the pond is m³/day. What is the detention time in days? a. 44,000 days b days c days d. 44 days Convert feet to metres: 6 ft = m 400 ft = m 650 ft = m Calculate the volume: Volume = m x m x m = 44, m³ Plug the numbers into the formula: Detention Time (s) = 44, m³ m³/s = 1,529,463.5 s Convert seconds to days: 1,529,463.5 s =? days 86,400 s 1 day = 17.7 days 9

50 FINAL ASSESSMENT 17) Estimate the velocity of wastewater flowing through a grit channel if a stick travels 16 m in 40 seconds. a. 640 m/s b. 2.5 m/s c. 0.4 m/s d. 250 m/s Velocity = D/T = 16m / 40s = 0.4 m/s 18) The influent BOD of a waste pond is 175 mg/l and the effluent BOD is 23 mg/l. What is the BOD removal efficiency? a. 87% b. 66 % c. 23 % d. 12% Removal Efficiency = x 100% 175 = 87% 19) i) A circular secondary clarifier handles a flow of 3,400 m³/day and a suspended solids concentration of 3,600 mg/l. The clarifier is 15 meters in diameter. Find the weir overflow rate. a. 227 m³/d x m b. 160,140 m³/d x m c. 54 m³/d x m d. 72 m³/d x m Length of weir = 3.14 (15 m) = 47.1 m Circumference Formula!! Overflow = 3,400 m³/day 47.1 m = 72 m³/d x m 10

51 FINAL ASSESSMENT ii) Find the solids loading for the above question. a. 12,240 kg/day b. 3.4 kg/day c. 3.6 kg/day d. 36,000 kg/day Solids Loading = 3,400 m³/d x 3,600 mg/l 1000 = 12,240 kg/day 20) What is the term used for how hard the electricity is working? a. Amperage b. Wattage c. Voltage d. Ohms 11

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