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PIPE Sample Problems
Bachelor of Science in Mechanical Engineering (BSME)
University of Mindanao
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ALCORCON ENGINEERING REVIEW CENTER Cebu Main: 4th floor Coast Pacific Downtown Center, Sanciangko St, Cebu City Tel Manila: 3rd floor JPD Bldg 1955, C M Recto corner N. Reyes St, Sampaloc, Manila Tel (02) DAY 1 POWER PLANT ENGINEERING PROBLEM 1 1 torr is equivalent to pressure A. 1 atm C. 2 mm Hg C. 14 D. atm Ans. D PROBLEM 2 Given steam pressure of 900 temperature of specific volume of 5 If the specific enthalpy is 9500 what is the internal energy per lb of the system? A. 4400 B. 3900 C. 3600 D. 4280 SOLUTION: h u Pv 9500 u 900(5) u 4280 PROBLEM 3 The barometer reads 29 inches (737 mm) of mercury. What is the absolute pressure if a vacuum gage reads 9 psi (66 kpa) in SI? A. 32 kpa B. 33 kpa C. 31 kpa D. 31 kpa SOLUTION: 101 Patm (29)( ) 29 Patm 98 kpa Pabs Pgage Patm Pabs 98 Pabs 32 kpa PROBLEM 4 A fluid with a vapor pressure of 0 Pa and a specific gravity of 12 is used in a barometer. If the fluids column height is 1 m, what is the atmospheric pressure? A. 150 kpa B. 115 Kpa C. 144 Kpa D. 117 Kpa SOLUTION: Pressure (specific weight)(height) Pressure (12 X 9)(1 m) Pressure 117 Kpa PROBLEM 5 What is the atmospheric pressure on a planet if the pressure is 100 kpa and the gage pressure is 10 kpa? A. 10 kpa B. 100 kpa C. 80 kpa D. 90 kpa SOLUTION: Pabs Patm Pgage 100 Patm 10 Patm 90 kpa This file is only for viewing. Page 1 Contents are not allowed to be edited. AERC SINCE ALCORCON ENGINEERING REVIEW CENTER Cebu Main: 4th floor Coast Pacific Downtown Center, Sanciangko St, Cebu City Tel Manila: 3rd floor JPD Bldg 1955, C M Recto corner N. Reyes St, Sampaloc, Manila Tel (02) DAY 1 POWER PLANT ENGINEERING PROBLEM 1 1 torr is equivalent to pressure A. 1 atm C. 2 mm Hg C. 14 D. atm Ans. D PROBLEM 2 Given steam pressure of 900 temperature of specific volume of 5 If the specific enthalpy is 9500 what is the internal energy per lb of the system? A. 4400 B. 3900 C. 3600 D. 4280 SOLUTION: h u Pv 9500 u 900(5) u 4280 PROBLEM 3 The barometer reads 29 inches (737 mm) of mercury. What is the absolute pressure if a vacuum gage reads 9 psi (66 kpa) in SI? A. 32 kpa B. 33 kpa C. 31 kpa D. 31 kpa SOLUTION: 101 Patm (29)( ) 29 Patm 98 kpa Pabs Pgage Patm Pabs 98 Pabs 32 kpa PROBLEM 4 A fluid with a vapor pressure of 0 Pa and a specific gravity of 12 is used in a barometer. If the fluids column height is 1 m, what is the atmospheric pressure? A. 150 kpa B. 115 Kpa C. 144 Kpa D. 117 Kpa SOLUTION: Pressure (specific weight)(height) Pressure (12 X 9)(1 m) Pressure 117 Kpa PROBLEM 5 What is the atmospheric pressure on a planet if the pressure is 100 kpa and the gage pressure is 10 kpa? A. 10 kpa B. 100 kpa C. 80 kpa D. 90 kpa SOLUTION: Pabs Patm Pgage 100 Patm 10 Patm 90 kpa This file is only for viewing. Page 1 Contents are not allowed to be edited. AERC SINCE PROBLEM 6 A column of water 200 cm high will give a pressure equivalent to: A. 9810 B. 0 atm C. 0 bar D. 19,620 SOLUTION: h 200 cm h m 200 cm W 9810 P wh P (9810)(2 m) P 19,620 PROBLEM 7 What is the equivalent of A. B. C. D. SOLUTION: 273 400 273 127 32 (127) 32 260 460 260 460 720 PROBLEM 8 If the temperature inside the furnace is what is the corresponding reading in A. 700 B. 750 C. 860 D. 800 SOLUTION: 32 700 273 427 32 (427) 32 800 PROBLEM 9 At a pressure of 130 psia and the steam has specific volume of 4 cu and the specific enthalpy is 1337 What is the internal energy at the given state, A. B. 1218 C. 1318 D. 1418 Ans. B SOLUTION: h U Pv 1337 U (130 x U 1218 PROBLEM 10 If the scale is twice the scale, what will be the corresponding reading in each scale? A. and C. and B. and D. and SOLUTION: 32 This file is only for viewing. Page 2 Contents are not allowed to be edited. AERC SINCE PROBLEM 6 A column of water 200 cm high will give a pressure equivalent to: A. 9810 B. 0 atm C. 0 bar D. 19,620 SOLUTION: h 200 cm h m 200 cm W 9810 P wh P (9810)(2 m) P 19,620 PROBLEM 7 What is the equivalent of A. B. C. D. SOLUTION: 273 400 273 127 32 (127) 32 260 460 260 460 720 PROBLEM 8 If the temperature inside the furnace is what is the corresponding reading in A. 700 B. 750 C. 860 D. 800 SOLUTION: 32 700 273 427 32 (427) 32 800 PROBLEM 9 At a pressure of 130 psia and the steam has specific volume of 4 cu and the specific enthalpy is 1337 What is the internal energy at the given state, A. B. 1218 C. 1318 D. 1418 Ans. B SOLUTION: h U Pv 1337 U (130 x U 1218 PROBLEM 10 If the scale is twice the scale, what will be the corresponding reading in each scale? A. and C. and B. and D. and SOLUTION: 32 This file is only for viewing. Page 2 Contents are not allowed to be edited. AERC SINCE PROBLEM 14 The suction pressure of a pump reads 540 mm Hg vaccum. What is the absolute pressure in Kpa? A. 40 B. 3 C. 60 D. 29 SOLUTION: Pabs Pa Patm Pump Pabs mm Hg 760 mm Hg Pabs 220 mm Hg Ps 540 mm Hg Pabs 220 X Pabs 29 Kpa PROBLEM 15 A boiler installed where the atmospheric pressure is 755 mm Hg. Has a pressure 12 What is the absolute pressure in Mpa? A. 1 B. 1 C. 1 D. 1,700 2 op 12 SOLUTION: Pabs Pa Patm Pabs 12 X 755 X Pabs 1277 Kpa Pabs 1 I Mpa BOILER PROBLEM 16 A storage tank contains oil with specific gravity of 0,88 and depth of 20 m. What is the hydrostatic pressure at the bottom of the tank in A. 1 B. 2 C. 6 D. 3 SOLUTION: P wxh P (0 X 9 ( 20 m) 20 m P 172 Kpa S. 0 P 172 X P 1 OP PROBLEM 17 A batch of concrete consisted of 200 lbs fine aggregate, 350 lbs coarse aggregate, 94 lbs, cement, and 5 gallons water. The specific gravity of the sand and gravel may be taken as 2 and that of the cement as 3. What was the weight of concrete in place per cubic foot? A. 172 lb B. 236 lb C. 162 lb D. 153 lb SOLUTION: Weight of water Weight of water 41 lb Volume of sand and gravel 200 350 2(62) Volume of sand and gravel 3 ft3 Volume of cement 0 ft3 3(62) Total weight 41 200 350 94 Total weight 685 lbs Total volume 3 0 This file is only for viewing. Page 4 Contents are not allowed to be edited. AERC SINCE PROBLEM 14 The suction pressure of a pump reads 540 mm Hg vaccum. What is the absolute pressure in Kpa? A. 40 B. 3 C. 60 D. 29 SOLUTION: Pabs Pa Patm Pump Pabs mm Hg 760 mm Hg Pabs 220 mm Hg Ps 540 mm Hg Pabs 220 X Pabs 29 Kpa PROBLEM 15 A boiler installed where the atmospheric pressure is 755 mm Hg. Has a pressure 12 What is the absolute pressure in Mpa? A. 1 B. 1 C. 1 D. 1,700 2 op 12 SOLUTION: Pabs Pa Patm Pabs 12 X 755 X Pabs 1277 Kpa Pabs 1 I Mpa BOILER PROBLEM 16 A storage tank contains oil with specific gravity of 0,88 and depth of 20 m. What is the hydrostatic pressure at the bottom of the tank in A. 1 B. 2 C. 6 D. 3 SOLUTION: P wxh P (0 X 9 ( 20 m) 20 m P 172 Kpa S. 0 P 172 X P 1 OP PROBLEM 17 A batch of concrete consisted of 200 lbs fine aggregate, 350 lbs coarse aggregate, 94 lbs, cement, and 5 gallons water. The specific gravity of the sand and gravel may be taken as 2 and that of the cement as 3. What was the weight of concrete in place per cubic foot? A. 172 lb B. 236 lb C. 162 lb D. 153 lb SOLUTION: Weight of water Weight of water 41 lb Volume of sand and gravel 200 350 2(62) Volume of sand and gravel 3 ft3 Volume of cement 0 ft3 3(62) Total weight 41 200 350 94 Total weight 685 lbs Total volume 3 0 This file is only for viewing. Page 4 Contents are not allowed to be edited. AERC SINCE Total volume 4 ft³ Weight of concrete per cu. ft. concrete Weight of ft. concrete 153 PROBLEM 18 A cylindrical tank 2 m diameter, 3 m high is full of oil. If the specific gravity of oil is 0, what is the mass of oil in the tank? A. 8482 kg B. 4500 kg C. 1800 kg D. kg SOLUTION: m Volume of cylinder D² h Volume of cylinder (2)2 (3) 3 m Volume of cylinder 9 m³ S. 0 Mass Density X Volume oil Mass w x V 2m Mass (0 X Mass 8482 kg PROBLEM 19 100 g of water are mixed with 150 g of alcohol (w 790 What is the specific volume of the resulting mixtures, assuming the fluids mixed completely? A. 0 B. 0 C. 0,63 D. 1 SOLUTION: Total mass 100 150 Total mass 250 grams Total 0 volume 0110 790 Total volume 2 x m³ Total volume 289 Specific volume Total volume Specific volume 289 250 Specific volume 1 PROBLEM 20 A spherical tank is full of water that has a total mass of kg. If the outside diameter of the tank is 2722 mm, how thick is the wall of the tank? A. 50 mm B. 25 mm C. 30 mm D. 35 mm SOLUTION: V t V To V 10 m³ V r3 10 II 3 r 1 m r 1336 mm t 1336 t 24 mm This file is only for viewing. Page 5 Contents are not allowed to be edited. AERC SINCE Total volume 4 ft³ Weight of concrete per cu. ft. concrete Weight of ft. concrete 153 PROBLEM 18 A cylindrical tank 2 m diameter, 3 m high is full of oil. If the specific gravity of oil is 0, what is the mass of oil in the tank? A. 8482 kg B. 4500 kg C. 1800 kg D. kg SOLUTION: m Volume of cylinder D² h Volume of cylinder (2)2 (3) 3 m Volume of cylinder 9 m³ S. 0 Mass Density X Volume oil Mass w x V 2m Mass (0 X Mass 8482 kg PROBLEM 19 100 g of water are mixed with 150 g of alcohol (w 790 What is the specific volume of the resulting mixtures, assuming the fluids mixed completely? A. 0 B. 0 C. 0,63 D. 1 SOLUTION: Total mass 100 150 Total mass 250 grams Total 0 volume 0110 790 Total volume 2 x m³ Total volume 289 Specific volume Total volume Specific volume 289 250 Specific volume 1 PROBLEM 20 A spherical tank is full of water that has a total mass of kg. If the outside diameter of the tank is 2722 mm, how thick is the wall of the tank? A. 50 mm B. 25 mm C. 30 mm D. 35 mm SOLUTION: V t V To V 10 m³ V r3 10 II 3 r 1 m r 1336 mm t 1336 t 24 mm This file is only for viewing. Page 5 Contents are not allowed to be edited. AERC SINCE SOLUTION: Q 100(1) Q 105 KJ T 273 T As As 0 PROBLEM 27 What is the potential energy of a 500 kg body if it is dropped to a height of 100 m? A. 490 KJ B. 765 KJ C. 560 KJ D. 645 KJ SOLUTION: Potential Energy m x z Potential Energy 500 x 100 Potential Energy kg X Potential Energy 490 KJ PROBLEM 28 The flow energy of 124 of a fluid passing a boundary to a system is 2 What is the pressure at this point. A. 100 Kpa B. 140 psi C. Kpa D. 871 Kpa SOLUTION: W Pressure X Volume 2 X P(0 P 967 Kpa X P 140 psi PROBLEM 29 Air and fuel enter a furnace used for home heating. The air has an enthalpy of 302 and the fuel has an enthalpy of 43,207 The gases leaving the furnace have an enthalpy of 616 There are 17 kg kg fuel. The house requires 17 KW of heat. What is the fuel consumption per day? A. 85 kg B. 41 kg C. 45 kg D. 68 kg SOLUTION: mass balance: Ma mf mg 17 mgo (Gas) ma 17m 17mf mf mg mg 18 mf (Air) 17 kw FURNACE Ma heat balance: (Heat) mä ha mfh mg hg (17m)(302) (18mt(616) 17 mf 4 x X 3600 X 24 q(Fuel) mf 40 mf PROBLEM 30 The power plant furnace burns coal at the rate of 108,200 Air at 100 Kpa, is supplied at the rate of 13 coal. Determine the volume flow rate of air flow in A. 21,327 C. 20,435 B. 19,414 D. 24,535 This file is only for viewing. Page 7 Contents are not allowed to be edited. AERC SINCE SOLUTION: Q 100(1) Q 105 KJ T 273 T As As 0 PROBLEM 27 What is the potential energy of a 500 kg body if it is dropped to a height of 100 m? A. 490 KJ B. 765 KJ C. 560 KJ D. 645 KJ SOLUTION: Potential Energy m x z Potential Energy 500 x 100 Potential Energy kg X Potential Energy 490 KJ PROBLEM 28 The flow energy of 124 of a fluid passing a boundary to a system is 2 What is the pressure at this point. A. 100 Kpa B. 140 psi C. Kpa D. 871 Kpa SOLUTION: W Pressure X Volume 2 X P(0 P 967 Kpa X P 140 psi PROBLEM 29 Air and fuel enter a furnace used for home heating. The air has an enthalpy of 302 and the fuel has an enthalpy of 43,207 The gases leaving the furnace have an enthalpy of 616 There are 17 kg kg fuel. The house requires 17 KW of heat. What is the fuel consumption per day? A. 85 kg B. 41 kg C. 45 kg D. 68 kg SOLUTION: mass balance: Ma mf mg 17 mgo (Gas) ma 17m 17mf mf mg mg 18 mf (Air) 17 kw FURNACE Ma heat balance: (Heat) mä ha mfh mg hg (17m)(302) (18mt(616) 17 mf 4 x X 3600 X 24 q(Fuel) mf 40 mf PROBLEM 30 The power plant furnace burns coal at the rate of 108,200 Air at 100 Kpa, is supplied at the rate of 13 coal. Determine the volume flow rate of air flow in A. 21,327 C. 20,435 B. 19,414 D. 24,535 This file is only for viewing. Page 7 Contents are not allowed to be edited. AERC SINCE SOLUTION: 100 kpa 13 28 deg. C FURNACE o ma ma 13 mf (Air) ma 13(108,200) ma 1493160 ma 24886 (Fuel) PV mRT mf 108,200 (100)(V) 24886(0)(28 273) V 21,327 PROBLEM 31 The enthalpy of air is increased 139 in a compressor. The rate of air flow is 16 The power input is 48 KW. Which of the following values most nearly equals the heat loss from the compressor in KW? A. B. C. D. SOLUTION: 16 Q hi W mh1 mh2 Q Q W m(h1 h2) Q W m(h2 h1) Compressor Q 48 Q 10 KW W 42 kw Q KW ( heat is rejected) h2 PROBLEM 32 A steam turbine receives 70 pounds of steam per minute with an enthalpy of 1600 Btu per pound and a velocity of 100 It leaves the turbine at 900 and 1320 enthalpy. The radiation loss is Find the horsepower output. SOLUTION: m Q V1 hi heat balance: N W Turbine mh1 W V W m(h1 h2) V2 h2 W 70(1600 1320) 550 2545 W 403 Hp PROBLEM 33 Steam enters a turbine stage with a enthalpy of 3628 at 70 and leaves the same stage with an enthalpy of 2846 and a velocity of 124 Calculate the work done steam. A. 776 B. 873,45 C. 567 D. 923,34 This file is only for viewing. Page 8 Contents are not allowed to be edited. AERC SINCE SOLUTION: 100 kpa 13 28 deg. C FURNACE o ma ma 13 mf (Air) ma 13(108,200) ma 1493160 ma 24886 (Fuel) PV mRT mf 108,200 (100)(V) 24886(0)(28 273) V 21,327 PROBLEM 31 The enthalpy of air is increased 139 in a compressor. The rate of air flow is 16 The power input is 48 KW. Which of the following values most nearly equals the heat loss from the compressor in KW? A. B. C. D. SOLUTION: 16 Q hi W mh1 mh2 Q Q W m(h1 h2) Q W m(h2 h1) Compressor Q 48 Q 10 KW W 42 kw Q KW ( heat is rejected) h2 PROBLEM 32 A steam turbine receives 70 pounds of steam per minute with an enthalpy of 1600 Btu per pound and a velocity of 100 It leaves the turbine at 900 and 1320 enthalpy. The radiation loss is Find the horsepower output. SOLUTION: m Q V1 hi heat balance: N W Turbine mh1 W V W m(h1 h2) V2 h2 W 70(1600 1320) 550 2545 W 403 Hp PROBLEM 33 Steam enters a turbine stage with a enthalpy of 3628 at 70 and leaves the same stage with an enthalpy of 2846 and a velocity of 124 Calculate the work done steam. A. 776 B. 873,45 C. 567 D. 923,34 This file is only for viewing. Page 8 Contents are not allowed to be edited. AERC SINCE
PIPE Sample Problems
Course: Bachelor of Science in Mechanical Engineering (BSME)
University: University of Mindanao
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