REVIEW GUIDE PIPE Coaching Notes FLUID 1. A perfect venture with throat diameter of 1.8 inches is placed horizontally in a pipe with a 5 in inside diameter. Eighty (80) lb of water flow through the pipe each second. What is the difference between the pipe and venturi throat static pressure? a. 29.9 lb/in2 b. 34.8 lb/in2 c. 5020 lb/in2 d. 72.3 lb/in2 2. What is the expected head loss per mile of a closed circular pipe (17 in inside diameter), friction factor of 0.03 when 3300 of water flow under pressure? a. 38 ft b. 3.580 ft c. 0.007 ft d. 0.64 ft 3. A rigid container is closed at one end and measure 8 in diameter by 12 in long. The container is held vertically and is slowly moved downward until the pressure in the container is 15.5 psia. What will be the depth of the water surface measure from the free water surface? a. 22 in b. 9.2 in c. 12 in d. 9.8 in 4. The pressure drop across a turbine is 25 psi. The flow rate is 55 gallons per minute. Calculate the power output of the turbine. a. 0.802 hp b. 0.41 hp c. 1.05 hp d. 2.54 hp 5. Two tubes are mounted to the roof of a car. One tube points to the front of the car while the other point to the rear. The tubes are connected to a manometer filled with fluid of specific gravity 0.60. When the height difference is 2 inches, what is the car’s speed? a. 46 mph b. 43.8 mph c. 50 mph d. 62 mph 6. What is the density of a stone that weighs 19.9 lb (88 N) in air and 12.4 lb (55 N) in water? a. 2,651.2 kg/m3 b. 2,612.5 kg/m3 c. 2,578.2 kg/m3 d. 26,700 kg/m3 7. The flow rate of water through a cast iron pipe is 5000 gpm. The pipe is 1 ft and the coefficient of friction f = 0.0173. What is the pressure drop over a 100 ft length of pipe? a. 4.404 ft of water b. 5.404 ft of water c. 6.404 ft of water d. 7.404 ft of water 8. Pressure drop across a turbine is 30 psi, the flow rate is 60 gpm. Calculate the power output of the turbine. a. 0.41 hp b. 1.05 hp c. 6.30 hp d. 2.54 hp 9. The fluid in a manometer tube is 60% water and 40% alcohol (SG = 0.8). What is the monometer fluid height difference if a 6.2 psi pressure is applied across the tow ends of a manometer? a. 15.5 in b. 186 in c. 36 in d. 215 in 10. An air bubble rises from the bottom of a well where the temperature is 25°C, to the surface where the temperature is 27°C. Find the percent increase in volume of the bubble if the depth of the well is 5m. Atmospheric pressure is 101.528 kPa. a. 49.3 b. 31.3 c. 56.7 d. 38.6 11. An empty, open can is 30 cm high with a 10-cm diameter. The can, with the open REVIEW GUIDE end down, is pushed under water with a density of 1000 kg/m3. Find the water level in the can when the top of the can is 50 cm below the surface. a. 17.20 cm b. 2.12 cm c. 4.20 cm d. 5.87 cm 12. A 24 inches long rod floats vertically in water. It has a 1 sq. in. cross section and has a specific gravity of 0.6. What length L is submerged? a. 14.4 in b. 2.4 in c. 9.6 in d. 18.0 in 13. Flow of water taking over in a pipe having a velocity of 10 m/s. Determine the velocity head of the water. a. 50.1 m b. 5.1 m c. 8.2 m d. 100 m 14. The length of pipe is 168 meters. If the pressure drop is 50 kPa for every 30 meters, what is the total pressure drop? a. 260 kPa b. 300 kPa c. 280 kPa d. 100 kPa 15. Hydraulic efficiency 85%, find Q in li/s. Power developed 10,500 kW under head of 320 m. a. 3935 b. 3452 c. 3271 d. 3623 16. A cylindrical pipe with water flowing downward at 0.02 m3/s having top diameter of 0.08, bottom diameter of 0.04 and height of 1.5 m. Find the pressure between the pipes. a. 104 kPa b. 87 kPa c. 120 kPa d. 143 kPa 17. A fluid that has a velocity of 18 m/s will have an equivalent head of: a. 16.51 m b. 12.44 m c. 18.34 m d. 10.34 m 18. Determine the size of pipe which will deliver 5 liters of medium oil (v = 6.10 x PIPE Coaching Notes 10-6 m2/s) assuming laminar conditions. a. 522 mm b. 454 mm c. 550 mm d. 650 mm flow 19. The power available in a jet having a cross-sectional area of 0.005 m2 with a velocity of 25.80 m/s. a. 34 kW b. 49 kW c. 43 kW d. 23 kW 20. The type of flow occupying in a 30 cm diameter pipe which water flows at a velocity of 2.10 m/s. Use v = 1.13 x 10-6 m2/s for water. a. Turbulent b. Constant c. Laminar d. None of these 21. A man weighing 64 kg causes a flat area 30 cm thick to be just fully submerged in a sea water (SG = 1.03). Neglecting weight the area must be: a. 0.085 m2 b. 0.756 m2 c. 0.172 m2 d. 0.062 m2 22. What force is exerted by water jet 50 mm diameter if it strikes a wall at the rate of 15 m/s? a. 342 N b. 442 N c. 764 N d. 563 N 23. A 300 mm x 75 mm venture meter is inserted in a 300 mm diameter pipeline where water flows at 55 liters/sec. Neglecting friction loss, compute the drop in pressure head from the inlet to the throat. a. 8 m b. 10 m c. 6 m d. 12 m 24. A jet of water 50 mm diameter with a velocity of 35 m/s is being discharged in a horizontal direction from a nozzle mounted on a fire truck. The force required to hold the nozzle stationary is: a. 1.34 kN b. 2.40 kN REVIEW GUIDE c. 4.23 kN d. 3.23 kN 25. An open storage vessel has 3 m of oil (SG = 0.82) and 6 m of water. The pressure at the bottom is: a. 45 kPa b. 65 kPa c. 83 kPa d. 92 kPa 26. A 200 mm diameter pipe gradually reduces to a 100 mm diameter. The 200 mm diameter pipe is connected to another pipe having a pressure of 600 kPa horizontally with a flow of 0.04 m3/s. Find the pressure at the 100 mm diameter. a. 588 kPa b. 642 kPa c. 566 kPa d. 598 kPa 27. A 200 mm diameter pipe discharges water at the rate of 200 li/s. Point 1 on the pipe has a pressure of 280 kPa and 3.4 m below point 1 is point 2 with a pressure of 300 kPa. Compute the head loss between points 1 and 2. a. 4.2 m b. 2.5 m c. 6.3 m d. 1.4 m 28. An object weighs 90 N in air and when immersed in water weighs 50 N. Compute the specific gravity of the object. a. 1.25 b. 3.25 c. 2.25 d. 4.25 29. Water is flowing in a pipe with radius of 25.4 cm at a velocity of 3 m/s. The viscosity of water is 1.13 Pa.s. What is the Reynolds number? a. 1,348 b. 2,357 c. 1,567 d. 2,312 30. The flow of water through a cast iron pipe is 10,000 gpm. The pipe is 18 inches in diameter. What is the flow velocity? a. 16.2 ft/s b. 15.2 ft/s c. 14.8 ft/s d. 12.6 ft/s PIPE Coaching Notes 31. What is the water pressure if manometer is 0.3 m Hg? Mercury is 13.6 times heavier than water. a. 40 kPa b. 38 kPa c. 45 kPa d. 35 kPa 32. What is the pressure of a 100 cm column of water? a. 10.81 kPa b. 9.81 kPa c. 11.81 kPa d. 11.23 kPa 33. Determine the velocity of the liquid in a tank at the bottom, given that surface h = 5 m. a. 10.81 m/s b. 9.9 m/s c. 11.81 m/s d. 11.23 m/s 34. The flow rate of water through a cast iron pipe is 10,000 gpm. The pipe is 18 inches diameter and the coefficient of friction f = 0.02. What does the pressure drop over a 500 ft length of pipe? a. 1,023.36 lb/ft2 b. 1,230.36 lb/ft2 c. 2,103.36 lb/ft2 d. 2,013.36 lb/ft2 35. A venturi meter with a 12 cm throat is installed in an 18 cm pipe which is inclined upward at an angle of 30o to the horizontal. If the distance between pressure tape along the pipe is 2 m, the differential pressure is 90 kPa. What is the discharge of water in m3/s? Assume coefficient of 0.98. a. 0.185 m3/s b. 0.156 m3/s c. 0.175 m3/s d. 0.165 m3/s 36. What is the density of a stone that weighs 100 N in air and 60 N in water? a. 2,500 kg/m3 b. 2,600 kg/m3 c. 2,700 kg/m3 d. 2,800 kg/m3 37. A 2 m long rod floats vertically in water. It has a 7 cm2 cross sectional area and a specific gravity of 0.6. What length, L, is submerged? a. 1.2 m b. 1.5 m REVIEW GUIDE c. 1.3 m d. 1.4 m 38. The density of ice is 917 kg/m3, and the approximate density of sea water in which an iceberg float is 1025 kg/m3. What fraction of iceberg is beneath the water surface? a. 0.89 b. 0.71 c. 0.45 d. 0.29 39. A barrel contains a 0.15 m layer of oil floating on water that is 0.30 mm deep. If the density of the oil is 600 kg/m3, what is the pressure (gage) at the oil-water interface? a. 883 Pa b. 900 Pa c. 742 Pa d. 924 Pa 40. A fluid that has a velocity of 18 m/s will have an equivalent head of: a. 16.51 m b. 18.34 m c. 13.56 m d. 11.41 m 41. The length of pipe is 168 m. If the pressure drop is 50 kPa for every 30 m, what is the total pressure drop? a. 240 kPa b. 280 kPa c. 260 kPa d. 220 kPa 42. Find the volume flow rate of water in L/s if the power developed under a head of 320 m is 10,500 kW and the hydraulic efficiency is 85%. a. 3,935 b. 3,293 c. 3,271 d. 3,721 43. Water flows in a pipe with a velocity of 10 m/s. Determine the velocity head of the water. a. 5.1 m b. 6.8 m c. 1.5 m d. 8.6 m PIPE Coaching Notes flow of discharge is 1.2 m3/s, determine the capacity of air compressor. a. 4.32 m3/s b. 3.33 m3/s c. 6.85 m3/s d. 7.42 m3/s 2. The discharge pressure of an air compressor is 5 times the suction pressure. If volume flow of suction is 0.1 m3/s, what is the compressor power assuming n = 1.35 and suction pressure is 98 kPa? a. 21.67 kW b. 19.57 kW c. 25.87 kW d. 10.45 kW 3. A 10 Hp motor is used to drive an air compressor. The compressor efficiency is 75%. Determine the compressor work. a. 6.0 kW b. 6.5 kW c. 7.6 kW d. 5.6 kW 4. The initial condition of air in an air compressor is 98 kPa and 27°C and discharges air at 400 kPa. The bore and stroke are 355 mm and 381 mm, respectively with percent clearance of 5% running at 300 rpm. Find the volume of air at suction. a. 600 m3/hr b. 610 m3/hr c. 620 m3/hr d. 630 m3/hr 5. An air compressor has a suction volume of 0.25 m3/s at 97 kPa and discharges to 650 kPa. How much power saved by the compressor if there are two stages? a. 8.27 kW b. 6.54 kW c. 3.86 kW d. 10.0 kW AIR COMPRESSOR 6. The suction condition of an air is 98 kPa, 27°C and 0.2 m3/s. If the surrounding air is 100 kPa and 20°C, determine the free air capacity in m3/s. a. 0.15 b. 0.19 c. 0.25 d. 0.23 1. An air compressor takes air at 100 kPa and discharges to 600 kPa. If the volume 7. A 355 mm x 381 mm air compressor has a piston displacement of 0.1885 m3/s. REVIEW GUIDE Determine the operating speed of the compressor. a. 250 rpm b. 300 rpm c. 350 rpm d. 600 rpm 8. Determine the percent clearance of an air compressor having 87% volumetric efficiency and compressor air pressure to be thrice the suction pressure. a. 5% b. 7% c. 15% d. 11% 9. The compressor work of an air compressor is 100 kW. If the piston speed is 15 m3/min, determine the mean effective pressure. a. 200 kPa b. 300 kPa c. 400 kPa d. 600 kPa 10. A double acting air compressor has 16 in x 7 in, 600 rpm has what volume displacement? a. 688 ft3/min b. 755 ft3/min c. 488 ft3/min d. 977 ft3/min 11. A two-stage air compressor has a suction pressure of 14 psi and discharge pressure of 130 psig. What is the intercooler pressure in kPag? a. 209 kPag b. 600 kPag c. 477 kPag d. 300 kPag 12. A two stage air compressor has an intercooler pressure of 3 kg/cm2. What is the discharge pressure if suction pressure is 1 kg/cm2? a. 3 kg/cm2 b. 9 kg/cm2 c. 23 kg/cm2 d. 15 kg/cm2 13. The piston speed of an air compressor is 140 m/min and has a volume displacement of 0.2 m3/s. Determine the diameter of compressor cylinder. a. 500 mm b. 358 mm c. 467 mm d. 246 mm PIPE Coaching Notes 14. An air compressor piston displacement is 5000 cm3 when operates at 900 rpm and volumetric efficiency of 75%. Determine the mass flow of air standard density. a. 365.3 kg/hr b. 243.5 kg/hr c. 386 kg/hr d. 465.2 kg/hr 15. A two-stage compressor air at 100 kPa and 22°C discharges to 690 kPa. If intercooler intake is 105°C, determine the value of n. a. 1.400 b. 1.358 c. 1.345 d. 1.288 16. The piston displacement of a double acting compressor running at 300 rpm is 0.4 m3/sec. If bore and stroke are unity, determine the length of stroke. a. 350 mm b. 380 mm c. 371 mm d. 400 mm 17. An air compressor takes air at 97 kPa at the rate of 0.5 m3/s and discharge 500 kPa. If power input to the compressor is 120 kW, determine the heat loss in the compressor. a. 26.5 kW b. 18.55 kW c. 30.45 kW d. 22.36 kW 18. A single acting air compressor has a volumetric efficiency of 87%, operates at 500 rpm. It takes in air at 100 kPa and 30°C and discharges it at 600 kPa. The air handled is 6 m3/min measured at discharge condition. If compression is isentropic, find mean effective pressure in kPa. a. 182 b. 983 c. 198 d. 204 19. A single acting reciprocating air compressor has a clearance volume of 10%. Air is received at 90 kPa and 90.3°C and is discharged at 600 kPa. The REVIEW GUIDE compression and expansion are polytropic with n = 1.28. The pressure drop is 5 kPa at suction port and 10 kPa at discharge port. The compressor piston displacement is 500 cm3 when operating 900 rpm. Determine the mass of compressed air in kg/hr. a. 16.76 b. 20.45 c. 98.33 d. 28.23 20. A single acting air compressor operates at 150 rpm with an initial condition of air at 97.9 kPa and 27°C and discharges the air at 379 kPa to a cylindrical tank. The bore and stroke are 355 mm and 381 mm respectively, with 5% clearance. If the surrounding air is at 100 kPa and 20°C while the compression and expansion process are PV1.3 = C, determine air capacity, m3/s. a. 0.0919 b. 2.13 c. 1.23 d. 4.23 21. The piston displacement of a double acting compressor is 0.358 m3/s, delivers gas from 101.325 kPa and 300 K to 675 kPa at the rate of 0.166 m3/s at 150 rpm. Value of n for compression and expansion is 1.33. Find the compressor percent clearance. a. 16.96 b. 14.23 c. 12.34 d. 18.44 22. The piston displacement of a double acting compressor is 0.358 m3/s, delivers gas from 101.325 kPa and 300°K to 675 kPa at the rate of 0.166 m3/s at 150 rpm. Value of n for compression and expansion is 1.33. Find the bore and stroke assuming bore = stroke. a. 300 mm b. 400mm c. 350 mm d. 450 mm 23. A 2-stage, double acting, L-type air compressor 16” x 10” x 7”, 600 rpm, has PIPE Coaching Notes a free air unloader at each end for capacity control. It is driven through Vbelts by a 150 Hp electric motor, 460 V, 3 phase, 60 Hz, 1200 rpm. Barometric pressure is 125 psi gage. Calculate piston displacement in m3/hr. a. 562 m3/hr b. 762 m3/hr c. 649 m3/hr, 1661 m3/hr d. 833 m3/hr, 724 m3/hr 24. A two-cylinder single-acting air compressor is directly coupled to an electric motor running at 1000 rpm. Other data are as follows: Size of each cylinder = 150 mm x 200 mm Clearance volume = 10% of displacement Exponent (n) for both compression and re-expansion process = 1.6 Air constant = 1.4 Air molecular mass M = 29 Calculate the volume rate of air delivery in terms of standard air for a delivery pressure 8 times ambient pressure under ambient air conditions of 300 °K and 1 bar. a. 2 m3/hr b. 4 m3/hr c. 3 m3/hr d. 5 m3/hr 25. A two stage compressor with first stage piston displacement of 94,390 cm3/s is driven by a motor. Motor output is 35 Hp, suction temperature is 22°C, volumetric efficiency is 85%. Mechanical efficiency is 95%, the intercooler pressure is 30 psi gage. Air temperature in and out of the intercooler are 105°C and 44°C. Final discharge pressure is 100 psi gage, suction estimated 14.5 psi. Find the compression efficiency. a. 77.60% b. 63.34% c. 87.34% d. 98.23% REVIEW GUIDE 26. An air compressor is to compress 8.5 m3/min from 98.56 kPa to 985.6 kPa. Assuming conditions are ideal, and with n = 1.3, what will be the saving in work due to two staging? a. Zero b. 4.6 kW c. 5.6 kW d. 3.5 kW 27. A single stage air compressor handles 0.454 m3/s of atmospheric pressure, 27°C air, and delivers it to a receiver at 652.75 kPa. Its volumetric efficiency on an isothermal basis is 0.85 and its mechanical efficiency is 0.90. If it operates at 350 rpm, what power in kW is required to drive it? a. 95 b. 112 c. 120 d. 100 28. A two stage compressor receives 0.50 kg/s of air at 120 kPa and 300°K and delivers it at 7 MPa. Find the heat transferred in the intercooler. a. 118.14 kW b. 124.55 kW c. 233.34 kW d. 187.34 kW 29. An air compressor is tested, and it is found that the electric motor used 37.3 kW when the compressor handled 0.189 m3/s of air at 101.4 kPa and 300 °K and discharged it at 377.1 kPa. Determine the adiabatic efficiency. a. 67.34% b. 76.34% c. 81.89% d. 92.34% 30. An air compressor is tested, and it is found that the electric motor used 37.6 kW when the compressor handled 0.189 m3/s of air at 101.4 kPa and 300°K and discharged it at 377.1 kPa. Determine the isothermal efficiency. a. 67.34% b. 76.34% c. 81.89% d. 67.48% PIPE Coaching Notes 31. Calculate the volumetric efficiency of a single-cylinder, double acting compressor with a bore and stroke of 0.45 x 0.45 m. The compressor is tested at 150 rpm and found to deliver gas from 101.3 kPa and 300°K to 675 kPa at a rate of 0.166 m3/s when n =1.33 for expansion and compression process. a. 46.39% b. 56.23% c. 48.34% d. 74.23% 32. A reciprocating compressor with a 3% clearance receives air at 100 kPa and 300°K and discharges it at 1.0 MPa. The expansion and compression are polytropic with n = 1.25. There is a 5% pressure drop through the inlet and outlet valves. Find the volumetric efficiency. a. 76.23% b. 82.50% c. 98.33% d. 65.33% 33. A reciprocating compressor has a 5% clearance with a bore and stroke of 25 x 30 cm. The compressor operates at 50 rpm. The air enters the cylinder at 27°C and 96 kPa and discharges in 2000 kPa. If n = 1.3, determine the compressor power. a. 2.34 kW b. 18.45 kW c. 27.25 kW d. 34.32 kW 34. A water-jacketed air compressor handles 0.143 m3/s air entering at 96.5 kPa and 21°C and leaving at 480 kPa and 132°C; 10.9 kg/hr of cooling water enters the jacket at 15°C and leaves at 21°C. Determine the compressor power. a. 26.163 kW b. 17.23 kW c. 34.44 kW d. 19.33 kW 35. A 2-stage compressor operates between constant pressure limits of 98.6 kPa and 1.103 MPa. The swept volume of the lowpressure piston is 0.142 m3. Due to REVIEW GUIDE PIPE Coaching Notes failure of the cooling water supply to the intercooler, air is passed to the highpressure cylinder without reduction in temperature. Using PV1.2 = C, determine the percentage increase in power. a. 26 b. 21 c. 11 d. 16 4. The suction pressure of a pump reads 2 in. of mercury vacuum and discharge pressure reads 130 psi is used to deliver 100 gpm of water with specific volume of 0.0163 ft3/lb. Determine the pump work. a. 4.6 kW b. 5.7 kW c. 7.4 kW d. 9.4 kW 36. An ideal-single stage air compressor without clearance takes in air at a 100 kPa with a temperature of 16°C and delivered at 413 kPa after isentropic compression. What is the discharge work done by the compressor in kJ/kg? a. -59.22 b. -52.43 c. -54.75 d. -56.13 Answer: -145 KJ/kg (no answer in the given choices) 5. A pump is to deliver 150 gpm of water at ahead of 120 m. If pump efficiency is 70%, what is the horsepower rating of motor required to drive the pump? a. 40.44 Hp b. 25.66 Hp c. 38.44 Hp d. 21.33 Hp PUMPS 1. A double suction centrifugal pumps delivers 70 ft3/s of water at a head of 12 m and running at 1250 rpm. What is the specific speed of the pump? a. 5014 rpm b. 5453 rpm c. 2345 rpm d. 9968 rpm 2. The pump centerline of a centrifugal pump is located 2.5 m above from the high tide level. The sea water varies two meters from high tide to low tide level. If friction loss at the suction is 0.8 m, determine the total suction head. a. 5.30 m b. 2.30 m c. 6.30 m d. 8.23 m 3. A centrifugal pump requires 40 ft head to deliver water from low level to higher level. If pump speed is 1600 rpm, determine the impeller diameter of the centrifugal pump. a. 185 mm b. 160 mm c. 154 mm d. 176 mm 6. A motor is used to d rive a pump having an efficiency of 85% and 70 % respectively. What is the combined efficiency of pump and motor? a. 59.50% b. 61.50% c. 62.50% d. 65.50% 7. In a boiler feed pump, the enthalpy at the entrance is 765 kJ/kg. If pump has a head of 900 m, what is the exit enthalpy of the pump? a. 897 kJ/kg b. 465 kJ/kg c. 774 kJ/kg d. 864 kJ/kg 8. A submersible pump delivers 350 gpm of water to a height of 5 ft from the ground. The pump was installed 120 ft below the ground level and a drawdown of 8 ft during the operation. If water level is 25 ft above the pump, determine the pump power. a. 7.13 kW b. 4.86 kW c. 7.24 kW d. 864 kW 9. Determine the number of stages needed for a centrifugal pump if it is used to deliver 400 gal/min of water and pump power of 15 Hp. Each impeller develops a head of 38 ft. a. 6 b. 4 PIPE Coaching Notes REVIEW GUIDE c. 8 d. 7 10. A boiler feed pump receives 50 li/sec of water with specific volume of 0.00112 m 3 /kg at ahead of 750 m. What is the power output of driving motor if pump efficiency is 65%? a. 505.32 kW b. 643.54 kW c. 785.56 kW d. 356.45 kW 11. What power can a boiler feed pump can deliver a mass of 35 kg/s water at a head of 500 m? a. 356.56 kW b. 354.54 kW c. 456.64 kW d. 171.67 kW 12. A pump running at 100 rpm delivers water against a head of 30 m. If pump speed will increase to 120 rpm, what is the increase in head? a. 43.2 m b. 13.2 m c. 34.6 m d. 56.3 m 13. A pump is used to deliver 50 li/sec of sea water at a speed of 120 rpm. If speed will increase to 135 rpm, determine the increase in pump capacity. a. 56.25 li/sec b. 34.56 li/sec c. 87.54li/sec d. 6.260 li/sec 14. A 15 kW motor running at 350 rpm is used to drive a pump. If speed will be changed to 370 rpm, what is the increase in power? a. 2.72 kW b. 17.72 kW c. 56.45 kW d. 5.67 kW 15. A certain pump is used to deliver 150 gpm of water having a density of 61.2 lb/ft3. The suction and discharge gage reads 4 in Hg vacuum and 25 psi, respectively. The discharge gage is 2 ft above the suction gage. What is the brake power of the motor if pump efficiency is 75%? a. 3.24 Hp b. 2.67 Hp c. 5.45 Hp d. 6.89 Hp 16. The discharge pipe of a pump is 400 mm in diameter delivers 0.5 m3/s of water to a building which maintains a pressure of 100 kPa at a height of 30 m above the reservoir. If equivalent head is 2 m, what power must be furnished by the pump? a. 211 kW b. 480 kW c. 340 kW d. 240 kW 17. A centrifugal pump is designed for 1800 rpm and head of 61m. Determine the speed of impeller if diameter is reducing from 305 mm to 254 mm. a. 1000 rpm b. 1250 rpm c. 1500 rpm d. 1600 rpm 18. Water from a reservoir A 10 m elevation is drawn by a motor driven pump to an upper reservoir B at 72 m elevation. Suction and discharge head loss are 0.15 m, respectively. For discharge rate of 15 li/sec, find the power input to the motor if overall efficiency is 65%. a. 12.65 kW b. 23.54 kW c. 14.17 kW d. 45.35 kW 19. The elevation of suction reservoir is 5 m above the pump centerline and delivers to 85 m elevation tank which maintain 150 kPa. If 1.5 m3/sec of water is used to deliver a total head of 3 m, determine the power needed by the pump. a. 1446 kW b. 2546 kW c. 4675 kW d. 3456 kW 20. Water from a reservoir is pumped over a hill through a pipe 900 mm in diameter and a pressure of one kg/cm2 is maintained at the pipe discharge where the pipe is 85m from the pump centerline. The pump has a positive suction head of 5m. Pumping rate of the pump at 1000 rpm is 1.5 m3/sec. Friction losses is REVIEW GUIDE equivalent to 3m of head loss. What amount of energy must be furnished by the pump in kW? a. 1372 kW b. 1523 kW c. 1234 kW d. 1723 kW 21. Water from a reservoir is pumped over a hill through a pipe 450 mm in diameter and a pressure of 1 kg/cm2 is maintained at the summit. Water discharge is 30 m above the reservoir. The quantity pumped is 0.5 m3/s. Frictional losses in the discharge and suction pipe and pump is equivalent to 1.5m head loss. The speed of the pump is 800 rpm what amount of energy must be furnished by the pump in kW? a. 202 b. 206 c. 204 d. 208 22. Water from an open reservoir A at 8m elevation is drawn by a motor-driven pump to an open reservoir B at 70 m elevation. The inside diameter of the suction pipe is 200 mm and 150 mm for the discharge pipe. The suction line has a loss of head three times that of the velocity head in the 200 mm pipe. The discharge line has a loss of head twenty times that of the velocity head in the discharge pipeline. The pump centerline is at 4m. Overall efficiency of the system is 78%. For a discharge rate of 10 li/sec, find the power input to the motor and the pressure gage reading installed just at the outlet and inlet of the pump in kPag. a. 2.34 kW b. 5.45 kW c. 6.59 kW d. 7.84 kW 23. A pump is to deliver 80 gpm of water at 140°F with a discharge pressure of 150 psig. Suction pressure indicates 2 inches of mercury vacuum. The diameter of suction and discharge pipes are 5 inches, PIPE Coaching Notes respectively. The pump has an efficiency of 70%, while the motor efficiency is 80%. Determine power input to the drive motor. a. 7.23 kW b. 2.34 kW c. 8.34 kW d. 9.39 kW 24. Determine the water horsepower and the mechanical efficiency of a centrifugal water pump which has an input of 3.5 Hp if the pump has an 8 inches nominal size suction and 6 inches nominal size discharge if it handles 150 gpm of water at 150°F. The suction line gage shows 4” Hg vacuum and the discharge gage shows 26 psi. The discharge gage is located 2 feet above the center of the discharge pipeline and pump inlet and discharge lines are at the same elevation. a. 2.52 hp b. 6.33 hp c. 4.23 hp d. 8.34 hp 25. A boiler feed pump receives 40 liters per second at 4 MPa and 180°C. It operates against a total head of 900 m with an efficiency of 60%. Determine the enthalpy leaving the pump in kJ/kg. a. 783.45 b. 773.57 c. 756.23 d. 765.23 26. A boiler feed pump receives 40 liters per second at 180°C. It operates against a total head of 900 m with an efficiency of 60%. Determine power output of the driving motor in kW. a. 453.23 b. 623.34 c. 983.45 d. 523.27 27. A boiler feed pump receives 40 liters per second at 180°C. It operates against a total head of 900 m with an efficiency of 60%. Determine discharge pressure in kPa for a suction pressure of 4 MPa. a. 11,850 kPa b. 13,455 kPa c. 12,566 kPa d. 14,233 kPa REVIEW GUIDE 28. A boiler feed pump receives 45 li/sec of water at 190°C and enthalpy of 839.33 kJ/kg. It operates against a head of 952m with efficiency of 70%. Estimate the water leaving temperature assuming that the temperature rise as due to the inefficiency of the input energy. a. 191°C b. 143°C c. 123°C d. 165°C 29. A submersible, multi-stage, centrifugal deep well pump 260 gpm capacity is installed in a well 27 feet below the static water level. Drawdown when pumping at rated capacity is 10 feet. The pump delivers the water into a 25,000 gallons capacity overhead storage tank. Total discharge head developed by pump, including friction in piping is 243 feet. Calculate brake horsepower required to drive the pump if pump efficiency is 70%. a. 31.31 b. 41.41 c. 21.21 d. 51.51 30. A submersible, multi-stage, centrifugal deep well pump 260 gpm capacity is installed in a well 27 feet below the static water level and running at 3450 rpm. Drawdown when pumping at rated capacity overhead storage tank. Total discharge head developed by pump, including friction in piping is 243 feet. Calculate the diameter of the impeller of this pump in inches if each impeller diameter developed a head of 38 ft. a. 3.28 b. 5.33 c. 4.23 d. 6.34 31. A double suction, single stage, centrifugal pump delivers 900 m3/hr of sea water (SG = 1.03) from a source where the water level varies two meters from high tide to low tide level. The pump centerline is located 2.6 meters above the PIPE Coaching Notes surface of the water at high tide level. The pump discharges into a surface condenser, 3 m above pump centerline. Loss of head due to friction in suction pipe is 0.8 m and that in the discharge side is 3 m. Pump is directly coupled to a 1750 rpm, 460 V, 3 phase, 60 Hz motor. Calculate the specific speed of pump in rpm. a. 3131 rpm b. 5151 rpm c. 4141 rpm d. 6161 rpm 32. A pump driven by an electric motor moves 25 gal/min of water from reservoir A to reservoir B, lifting the water to a total of 245 feet. The efficiency of the pump and motor are 64% and 84% respectively. What size of motor (HP) is required? a. 1 Hp b. 3 Hp c. 4 Hp d. 7.5 Hp 33. Water is pumped at 1 m3/s to an elevation of 5 m through a flexible hose using a 100% efficiency pump rated at 100 kW. Using the same length of hose, what size of motor is needed to pump 1 m3/s of water to a tank with no elevation gain? In both cases both ends of hose are at atmospheric pressure. Neglect kinetic energy. a. 51 kW b. 18 kW c. 43 kW d. 22 kW 34. A vacuum pump is used to drain a flooded mine shaft of 20°C water. The pump pressure of water at this temperature is 2.34 kPa. The pump is incapable of lifting the water higher than 10.16 m. What is the atmospheric pressure? a. 109 b. 112 c. 98 d. 101.9 35. It is desired to deliver 5 gpm at a head of 640 m in a single stage pump having REVIEW GUIDE specific speed not to exceed 40. If the speed is not to exceed 1352 rpm, how many stages are required? a. 3 b. 4 c. 5 d. 2 36. The rate of flow of water in a pump installation is 60.6 kg/s. The intake static gage is located 1.22 m below the pump center line and reads 68.95 kPa gage; the discharge static gage is 0.61 m below the pump centerline and reads 344.76 kPa gage. The gages are located close to the pump as much as possible. The areas of the intake and discharge pipes are 0.093 m2 and 0.069 m2, respectively. The pump efficiency is 70%. Take density of water equals 1000 kg/m3. What is the hydraulic power in kW? a. 17.0 b. 24.5 c. 31.9 d. 15.2 37. Water in rural areas is often extracted from underground water source whose free surface is 60 m below ground level. The water is to be raised 5m above the ground by a pump. The diameter of the pipe is 10 cm at the inlet and 15 cm at the exit. Neglecting any heat interaction with the surroundings and frictional heating effects, what is the necessary power input to the pump for a steady flow of water at the rate of 15 li/sec in kW if pump efficiency is 85%? a. 9.54 b. 5.343 c. 7.82 d. 11.23 38. A pump lifts water at a rate of 283 lps from a lake and force it into a tank 8 m above the level of the water at a pressure of 137 kPa. What is the power required in kilowatts. a. 71 b. 41 c. 61 d. 51 PIPE Coaching Notes 39. A pump receives 8 kg/s of water at 220 kPa and 110°C and discharges it at 1100 kPa. Compute for the power required in kilowatts. a. 8.126 b. 5.082 c. 7.041 d. 6.104 40. A fuel pump is delivering 10 gallons per minute of oil with a specific gravity of 0.83. The total head is 9.14 m, find how much energy does the pump consumes in KJ per hour. a. 169 b. 199 c. 189 d. 179 41. A pump discharges 150 liters per second of water to a height of 75 meters. If the efficiency is 75% and the speed of the pump is 1800 rpm, what is the torque in N-m to which the drive shaft is subjected? a. 771 b. 781 c. 791 d. 681 42. A pump with a 400 mm diameter suction and a 350 mm diameter discharge pipe is to deliver 20,000 liters per minute of 15.6°C water. Calculate the pump head in meters if suction gage is 7.5 cm below pump centerline and reads 127 mm Hg vacuum and discharge gage is 45 cm above the pump centerline and reads 75 kPa. a. 15 m b. 5 m c. 20 m d. 10 m 43. A centrifugal pump delivers 300,000 liters per hour of water to a pressurized tank whose pressure is 280 kPa. The source of water is 5m below the pump. The diameter of the suction pipe is 300 mm, and the discharge pipe is 250 mm. Calculate the kW rating of the driving motor assuming the pump efficiency to be 72%. REVIEW GUIDE a. 41.75 kW c. 43.26 kW b. 35.75 kW d. 38.16 kW 44. A centrifugal pump delivers 80 liters per second of water on test. Suction gage reads 10 mm Hg vacuum and 1.2 meters below pump centerline. Power input is 70 kW. Find the total dynamic head in meters. a. 66 b. 60 c. 62 d. 64 45. A pump delivers 500 gpm of water against a total head of 200 ft and operating at 1770 rpm. Changes have increased the total head to 375 ft. At what rpm should the pump be operated to achieve the new head at the same efficiency? a. 2800 rpm b. 3600 rpm c. 3434 rpm d. 2424 rpm PIPE Coaching Notes 49. The suction pressure of a pump reads 2 in. of mercury vacuum and discharge pressure reads 130 psi is used to deliver 100 gpm of water with specific volume of 0.0163 ft³/lb. Determine the pump work. a. 4.6 kW b. 7.4 kW c. 5.7 kW d. 8.4 kW 50. A pump is to deliver 150 gpm of water at a head of 120 m. If pump efficiency is 70%, what is the horsepower rating of motor required to drive the pump? a. 40.44 HP b. 38.44 HP c. 25.66 HP d. 21.33 HP 51. A motor is used to drive a pump having an efficiency of 85% and 70% respectively. What is the combined efficiency of pump and motor? a. 59.50% b. 62.50% c. 61.50% d. 65.50% 46. A double suction centrifugal pumps delivers 70 ft³/sec of water at a head of 12 m and running at 1250 rpm. What is the specific speed of the pump? a. 5014 rpm b. 2345 rpm c. 6453 rpm d. 9968 rpm 52. In a boiler feed pump, the enthalpy at the entrance is 765 KJ/kg, the pump has a head of 900 m. What is the exit enthalpy of the pump? a. 897 kJ/kg b. 774 kJ/kg c. 465 kJ/kg d. 864 kJ/kg 47. The pump centerline of a centrifugal pump is located 2.5 m above from the high tide level. The sea water varies two meters from high tide to low tide level. If friction loss at the suction is 0.8 m, determine the total suction head. a. 5.30 m b. 6.30 m c. 2.30 m d. 8.23 m 53. A submersible pump delivers 350 gpm of water to a height of 5 ft from the ground. The pump was installed 120 ft below the ground level and a drawdown of 8 ft during the operation. If water level is 25 ft above the pump, determine the pump power. a. 7.13 kW b. 7.24 kW c. 4.86 kW d. 864 kW 48. A centrifugal pump requires 40 ft head to deliver water from low level to higher level. If pump speed is 1600 rpm, determine the impeller diameter of the centrifugal pump. a. 185 mm b. 154 mm c. 160 mm d. 176 mm 54. Determine the number of stages needed for a centrifugal pump if it is used to deliver 400 gal/min of water and pump power of 15 HP. Each impeller develops a head of 38 ft. a. 6 b. 8 PIPE Coaching Notes REVIEW GUIDE c. 4 d. 7 55. A boiler feed pump receives 50 li/sec of water with specific volume of 0.00112 m³/kg at a head of 750 m. What is the power output of driving motor if pump efficiency is 65%? a. 505.32 kW b. 785.56 kW c. 643.54 kW d. 356.45 kW 56. What power can a boiler feed pump can deliver a mass of 35 kg/s water at a head of 500 m? a. 356.56 kW b. 456.64 kW c. 354.54 kW d. 171.67 kW 57. A pump running at 100 rpm delivers water against a head of 30 m. If pump speed well increased to 120 rpm, what is the increase in head? a. 43.2 m b. 34.6 m c. 13.2 m d. 56.3 m 58. A pump is used to deliver 50 li/sec of sea water at a speed of 120 rpm. If speed will increase to 135 rpm, determine the increase in pump capacity. a. 56.25 li/s b. 87.54 li/s c. 34.56 li/s d. 6.260 li/s 59. A 15 kW motor running at 350 rpm is used to drive a pump. If speed will change to 370 rpm, what is the increase in power? a. 2.72 kW b. 56.45 kW c. 17.72 kW d. 5.67 kW 60. A certain pump is used to deliver 150 gpm of water having a density of 61.2 lb/ft³. The suction and discharge gage reads 4 in Hg vacuum and 25 psi, respectively. The discharge gage is 2 ft above the suction gage. What is the brake power of the motor if pump efficiency is 75%? a. 3.24 HP b. 5.45 HP c. 2.67 HP d. 6.89 HP 61. The discharge pipe of a pump is 400 mm in diameter delivers 0.5 m³/sec of water to a building which maintains a pressure of 100 kPa at a height of 30 m above the reservoir. If the equivalent head is 2 m, what power must be furnished by the pump? a. 211 kW b. 340 kW c. 480 kW d. 240 kW 62. A centrifugal pump is designed for 1800 rpm and head of 61 m. Determine the speed if impeller diameter is reduced from 305 mm to 254 mm. a. 1000 rpm b. 1500 rpm c. 1250 rpm d. 1600 rpm 63. Water from a reservoir a 10 m elevation is drawn by a motor driven pump to an upper reservoir B at 72 m elevation. Suction and discharge head loss are 0.15 m, respectively. For discharge rate of 15 li/s, find the power input to the motor if overall efficiency is 65%. a. 12.65 kW b. 14.17 kW c. 23.54 kW d. 45.35 kW 64. The elevation of suction reservoir is 5 m above the pump centerline and delivers to 85 m elevation tank which maintain 150 kPa. If 1.5 m³/sec of water is used to deliver a total head of 3 m, determine the power needed by the pump. a. 1446 kW b. 4675 kW b. 2567 kW d. 3456 kW 65. Water from a reservoir is pumped over a hill through a pipe 900 mm in diameter and a pressure of 1 kg/cm² is maintained at the pipe discharge where the pipe is 85 m from the pump centerline. The pump has a positive suction head of 5 m. Pumping rate of the pump at 1000 rpm is REVIEW GUIDE 1.5 m³/s. Friction losses is equivalent to 3 m of head loss. What amount of energy must be furnished by the pump in kW? a. 1372 kW b. 1234 kW c. 1523 kW d. 1723 kW 65. Water from a reservoir is pumped over a hill through a pipe 450 mm in diameter and a pressure of 1 kg/cm² is maintained at the summit. Water discharge is 30 m above the reservoir. The quantity pumped is 0.5 m³/s. Frictional losses in the discharge and suction pipe and pump is equivalent to 1.5 m head loss. The speed of the pump is 800 rpm, what amount of energy must be furnished by the pump in kW? a. 202 b. 204 c. 206 d. 208 66. Water from an open reservoir A at 8 m elevation is drawn by a motor-driven pump to an open reservoir B at 70 m elevation. The inside diameter of the suction pipe is 200 mm and 150 mm for the discharge pipe. The suction line has a loss of head three times that of the velocity head in the 200 mm pipe. The discharge line has a loss of head twenty times that of the velocity head in the discharge pipeline. The pump centerline is at 4 m. Overall efficiency of the system is 78%. For a discharge rate of 10 li/sec, find the power input to the motor and the pressure gage readings installed just at the outlet and inlet of the pump in kPag? a. 3.34 kW b. 6.59 kW c. 5.45 kW d. 7.84 kW 67. A pump is to deliver 80 gpm of water at 140oF with a discharge pressure of 150 psig. Suction pressure indicates 2 inches of mercury vacuum. The diameter of suction and discharge pipes are 5 inches PIPE Coaching Notes and 4 inches, respectively. The pump has an efficiency of 70%, while the motor efficiency is 80%. Determine power input to the drive motor. a. 7.23 kW b. 8.34 kW c. 2.34 kW d. 9.39 kW 68. Determine the water horsepower and the mechanical efficiency of a centrifugal water pump which has an input of 3.5 HP if the pump has an 8 inches nominal size suction and 6 inches nominal size discharge if it handles 150 gpm of water at 150-degree Fahrenheit. The suction line gage shows 4” Hg vacuum and the discharge gage shows 26 psi. The discharge gage is located 2 feet above the center of the discharge pipeline and the pump inlet and discharge lines are at the same elevation. a. 2.52 HP b. 4.23 HP c. 6.33 HP d. 8.34 HP 69. A boiler feed pump receives 40 liters per second at 4 MPa and 180 °C. It operates against a total head of 900 m with an efficiency of 60%. Determine the enthalpy leaving the pump in kJ/kg. a. 783.45 b. 756.23 c. 773.57 d. 765.23 70. A boiler feed pump receives 40 liters per second at 180 °C. It operates against a total head of 900 m with an efficiency of 60%. Determine power output of the driving motor in kW. a. 453.23 b. 983.45 c. 623.34 d. 523.27 71. A boiler feed pump receives 40 liters per second at 180 °C. It operates against a total head of 900 m with an efficiency of 60%. Determine discharge pressure in kPa for a suction pressure of 4 MPa. a. 11,850 kPa b. 12,566 kPa REVIEW GUIDE c. 13,455 kPa d. 14.289 kPa 72. A boiler feed pump receives 45 li/sec of water at 190 °C and enthalpy of 839.33 kJ/kg. It operates against a head of 952 m with an efficiency of 70%. Estimate the water leaving temperature assuming that the temperature rise is due to the inefficiency of the input energy. a. 19oC b. 123oC c. 143oC d. 165oC 73. A submersible, multi-stage, centrifugal deep well pump with 260 gpm capacity is installed in a well 27 ft below the static water level. Drawdown when pumping at rated capacity is 10 feet. The pump delvers the water into a 25,000 gallons capacity overhead storage tank. Total discharge head developed by pump, including friction in piping is 243 feet. Calculate brake horsepower required to drive the pump if pump efficiency is 70%. a. 31.31 b. 21.21 c. 41.41 d. 51.51 74. A submersible multi-stage, centrifugal deep well pump w/ 260 gpm capacity is installed in a well 27 ft below the static water level and running at 3450 rpm. Drawdown when pumping at rated capacity is 10 ft. The pump delivers the water into a 25,000 gallons capacity overhead storage tank. Total discharge head developed by pump, including friction in piping is 243 ft. Calculate the diameter of impeller of this pump in inches if each impeller diameter developed a head of 38 ft. a. 3.28 b. 4.23 c. 5.33 d. 6.34 75. A double suction, single storage, centrifugal pump delivers 900 m³/hr of sea water (SG = 1.03) from a source PIPE Coaching Notes where the water level varies two meters from high tide to low tide level. The pump centerline is located 2.6 m above the surface of the water at high tide level. The pump discharges into a surface condenser, 3 m above pump centerline. Loss of head due to friction in suction pipe is 0.8 m and that in the discharge side is 3 m. Pump is directly coupled to a 1750 rpm, 460 V, 3 phase, 60 Hz motor. Calculate the specific speed of pump in rpm. a. 3131 b. 5151 c. 4141 d. 6161 76. Water is pumped at 1 m3/sec to an elevation of 5 m through a flexible hose using a 100% efficiency pump rated at 100 kW. Using the same length of hose, what size of motor is needed to pump 1 m³/sec of water to a tank with no elevation gain? In both cases both ends of hose are at atmospheric pressure. Neglect kinetic energy. a. 51 kW b. 43 kW c. 18 kW d. 22 kW 77. A vacuum pump is used to drain a flooded mine shaft at 20 °C water. The pump pressure of water at this temperature is 2.34 kPa. The pump is incapable of lifting the water higher than 10.6 m. What is the atmospheric pressure? a. 109 kPa b. 98 kPa c. 112 kPa d. 101.9 kPa 78. It is desired to deliver 5 gpm at a head of 640 m in a single stage pump having a specific speed not to exceed 40. If the speed is not to exceed 1352 rpm, how many stages are required? a. 3 b. 5 c. 4 d. 2 PIPE Coaching Notes REVIEW GUIDE 79. The rate of flow of water in a pump installation is 60.6 kg/s. The intake static gage is located 1.22 m below the pump center line and reads 68.95 kPa gage; the discharge static gage is 0.61 m below the pump centerline and reads 344.75 kPa gage. The gages are located close to the pump as much as possible. The area of the intake and discharge pipes are 0.093 m², respectively. The pumps efficiency is 70%. Take density of water equals 1000 kg/m³. What is the hydraulic power in kW? a. 17 b. 31.9 c. 24.5 d. 15.2 80. A pump driven by an electric motor moves 25 gal/min of water from reservoir A to reservoir B, lifting the water to a total of 245 ft. The efficiency of the pump and motor are 64% and 84% respectively. What size of motor (HP) is required? a. 5 HP b. 4 HP c. 3 HP d. 7.5 HP 81. Water in the rural areas is often extracted from underground water source whose free surface is 60 m below ground level. The water is to be raised 5 m above the ground by a pump. The diameter of the pipe is 10 cm at the inlet and 15 cm at the exit. Neglecting any heat interaction with the surroundings and frictional heating effects, what is the necessary power input to the pump for a steady flow of water at the rate of 15 li/sec in kW if pump efficiency is 85%? a. 9.54 b. 7.82 c. 5.343 d. 11.23 82. A pump lifts water at a rate of 283 li/sec from a lake and force it into a tank 8 m above the level of the water at a pressure of 137 kPa. What is the power required in kilowatts? a. 71 c. 41 b. 61 d. 51 83. A pump receives 8 kg/s of water at 220 kPa and 110 °C and discharges it at 1100 kPa. Compute for the power required in kilowatts. a. 8.126 b. 7.041 c. 5.082 d. 6.104 84. A fuel pump is delivering 10 gpm of oil with a specific gravity of 0.83. The total head is 9.14 m, find how much energy does the pump consumes in kJ/hr. a. 169 b. 189 c. 199 d. 179 85. A pump discharges 150 liters per second of water to a height of 75 meters. If the efficiency is 75% and the speed of the pump is 1800 rpm, what is the torque in Nm to which the drive shaft is subjected? a. 771 b. 791 c. 781 d. 681 86. A pump w/ 400 mm diameter suction and a 350 mm diameter discharge pipe is to deliver 20,000 li/min of 15.6 °C water. Calculate the pump head in meters if suction gage is 7.5 cm below pump centerline and reads 127 mm Hg vacuum and discharge gage is 45 cm above the pump centerline and reads 75 kPa. a. 15 m b. 20 m c. 5 m d. 10 m 87. A centrifugal pump delivers 300,000 li/hr of water to a pressurized tank whose pressure is 280 kPa. The source of water is 5 m below the pump. The diameter of the suction pipe is 300 mm, and the discharge pipe is 250 mm. Calculate the kW rating of the driving motor assuming the pump efficiency to be 72%. REVIEW GUIDE a. 41.75 kW c. 35.75 kW b. 43.28 kW d. 38.16 kW 88. A centrifugal pump delivers 80 li/sec of water on test. Suction gage reads 10 mm Hg vacuum and 1.2 m below pump centerline. Power input is 70 kW. Find the total dynamic head in meters. a. 66 b. 62 c. 60 d. 64 89. A pump delivers 500 gpm of water against a total head of 200 ft and operating at 1770 rpm. Changes have increased the total head to 375 ft. At what rpm should the pump be operated to achieve the new head at the same efficiency? a. 2800 rpm b. 3434 rpm c. 3600 rpm d. 2424 rpm 90. A DC driven pump running at 100 rpm delivers 30 liters per second of water at 40°C against a total pumping head of 27 m with a pump efficiency of 60%. Barometer pressure is 758 mm Hg absolute. What pump speed and capacity would result if the pump rpm were increased to produce a pumping head of 36 m assuming no change in efficiency? a. 115.47 rpm, 34.64 li/s b. 110.51 rpm,34.46 li/s c. 115.47 rpm,38.68 li/s d. 110.51 rpm,38.68 li/s 91. A single acting reciprocating pump has a diameter of 0.12 meter and a stroke of 0.25 m. Compute the theoretical discharge if the pump delivers water at 60 rpm. a. 0.5965 m³/min b. 0.1698 m³/min c. 0.05965 m³/min d. 0.01698 m³/min PIPE Coaching Notes 92. A single acting reciprocating pump w/ a diameter of 0.18 m and a stroke of 0.30 m, delivers water at a rate of 0.18 m³/min. What is the percentage slip it delivers at 25 revolutions per minute? a. 5.7% b. 8.4% c. 10.5% d. 1.6% 93. Water is flowing through a pipe at 15 li/sec. The inlet diameter of the pipe is 12 cm, and the exit diameter is 15 cm. If water is to be pumped from water source and heat loss is 2 kW, determine the power input to the pump. a. 2.2 kW b. 3.2 kW c. 1.2 kW d. 4.2 kW 94. A pump delivers 100 li/sec of water at a head of 50 m. Find the waterpower. a. 29 kW b. 39 kW c. 49 kW d. 59 kW FANS AND BLOWERS 1. A fan whose static efficiency is 40% has a capacity of 60,000 ft3/hr at 60°F and barometer of 30 in Hg and gives a static pressure of 2 in of water column on full delivery. What size of electric motor should be used to drive the fan? a. ½ Hp b. 1 Hp c. 2 Hp d. 1 ½ Hp 2. A fan draws 1.42 m3 per second of air at a static pressure of 2/54 cm water through a duct 300 mm diameter and discharges it through a duct of 275 mm diameter. Determine the static fan efficiency if total fan mechanical is 70% and air is measured at 25°C and 760 mm Hg. a. 50.11% b. 54.34% c. 65.37% d. 45.34% 3. Find the air horsepower of an industrial fan that delivers 25 m3/s of air through a REVIEW GUIDE 900 mm by 1200 mm outlet. Static pressure is 127 mm of water gage and air density is 1.18 kg/m3. a. 65.35 Hp b. 52.35 Hp c. 60.35 Hp d. 70.35 Hp 4. A boiler requires 90,000 m3/hr of standard air. The mechanical efficiency of fan to be installed is 65%. Determine the size of driving motor assuming fan can deliver a total pressure of 150 mm of water gage. a. 56.6 kW b. 78.5 kW c. 45.5 kW d. 23.5 kW 5. At 1.2 kg/m3 air density a fan develops a brake power of 100 KW. It operates at 98 kPa and 32°C with the same speed, what is the new brake power of the fan? a. 68.4 kW b. 36.7 kW c. 67.5 kW d. 93.3 kW 6. A fan has a suction pressure of 30 mm water vacuum with air velocity of 3 m/s. The discharge has 150 mm of water gage and discharge velocity of 7m/s. Determine the total head of fan if air density is 1.2 kg/m3. a. 150 m b. 152 m c. 154 m d. 156 m 7. A 50 kW motor is used to drive a fan that has a total head of 110 m. If fan efficiency is 70%, what is the maximum capacity of the fan using standard density of air? a. 27 m3/s b. 29 m3/s c. 31 m3/s d. 33 m3/s 8. A fan using standard air condition can develop a static pressure head of 310 mm water gage. If fan will operate 93°C and 735 mm of Hg, find the new static pressure required. a. 150 mm water gage b. 180 mm water gage c. 241 mm water gage PIPE Coaching Notes d. 456 mm water gage 9. The total head of fan is 185 m and has a static pressure of 210 mm of water gage, what is the velocity of air flowing if density of air is 1.15 kg/m3? a. 6.85 m/s b. 3.45 m/s c. 4.75 m/s d. 8.54 m/s 10. The volume flow of air delivered by fan is 20 m3/s and 180 mm water gage. The density of air is 1.185 kg/m3 and motor power needed to drive the fan is 44 KW. What is the fan efficiency? a. 70.26% b. 80.26% c. 75.26% d. 90.26% 11. A fan is listed as having the following performances with standard air: Volume discharged = 120 m3/s Speed = 7.0 rps Static pressure = 310 mm water gage Brake power required = 620 KW The system duct will remain the same and the fan will discharge the same volume of 120 m3/s of air at 93°C and a barometric pressure of 735 mm Hg when its speed is 7.0 rps. Find the brake power input and the static pressure required. a. 231 mm water b. 251 mm water c. 241 mm water d. 261 mm water 12. Air enters a fan through a duct at velocity of 6.3 m/s and an inlet static pressure of 2.5 cm of water less than atmospheric pressure. The air leaves the fan through a duct a t a velocity of 11.24 m/s and a discharge static pressure of 7.62 cm of water above the atmospheric pressure. If the specific weight of the air is 1.20 kg/m3 and the fan delivers 9.45 m3/s, what is the fan efficiency when the power input to the fan is 12.75 kW at the coupling? a. 71.81% b. 91.23% c. 81.34% d. 61.34% REVIEW GUIDE 13. A fan delivers 4.7 m3/s at a static pressure of 5.08 cm of water when operating at a speed of 400 rpm. The power input required is 2.863 kW. If 7.05 m3/s are desired in the same fan and installation, find the pressure in cm of water. a. 7.62 b. 17.14 c. 11.43 d. 5.08 14. A fan described in a manufacturer’s table is rated to deliver 500 m3/min at a static pressure (gage) of 254 cm of water when running at 250 rpm and requiring 3.6 kW. If the fan speed is changed to 305 rpm and air handled were at 65% instead of standard 21°C, find the power in kW. a. 3.82 b. 5.08 c. 4.66 d. 5.68 15. Air is flowing in a duct with velocity of 7.62 m/s and static pressure of 2.16 cm water gauge. The duct diameter is 1.22 m, the barometric pressure 99.4 kPa and the gage fluid temperature and air temperature are 30°C. What is the total pressure against which the fan will operate in cm of water? a. 3.25 b. 2.5 c. 3.75 d. 1.25 16. What horsepower is supplied to air moving at 20 fpm through a 2 x 3 ft duct under a pressure of 3 in. water gage? a. 0.786 hp b. 0.642 hp c. 0.741 hp d. 0.0566 hp 17. Air is flowing in a duct with velocity of 7.62 m/s and a static pressure of 2.16 cm water gage. The duct diameter is 1.22 m, the barometric pressure 99.4 kPa and the gauge fluid temperature and air temperature are 30C. What is the PIPE Coaching Notes total pressure of air against which the fan will operate in cm of water? a. 3.25 b. 3.75 c. 2.50 d. 1.25 18. A fan draws 1.42 m3/s of air at a static pressure of 2.54 cm of water through a duct at 300 mm in diameter and discharges it through a duct of 275 mm diameter. Determine the static fan efficiency if the total fan mechanical efficiency is 70% and air is measured at 25C and 760 mm Hg. a. 60% b. 30% c. 50% d. 40% 19. A certain fan delivers 12,000 cfm at a static pressure of 1 in. WG when operating at a speed of 400 rpm and requires an input of 4 hp. If the same installation 15,000 cfm are desired, what will be the new speed, and the new power needs? a. 450 rpm, 6.81 hp b. 500 rpm, 6.81 hp c. 500 rpm, 7.81 hp d. 450 rpm, 7.81 hp 20. A fan whose static efficiency is 40% has a capacity of 60,000 ft3/hr at 60°F and barometer of 30 in Hg and gives a static pressure of 2 in of water column on full delivery. What size of electric motor should be used to drive the fan? a. ½ Hp b. 1 Hp c. 2 Hp d. 1 ½ Hp