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Engineering Mathematics (Math1)
University of Nueva Caceres
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POWER AND INDUSTRIAL PLANT ENGINEERING
By:ALCORCON
ME 517AL
Dulnuan, Livingstone R.
SUBMITTED BY:
Engr. Michael Carulla
SUBMITTED TO:
May 2, 2013
POWER AND INDUSTRIAL PLANT ENGINEERING-ALCORCON
THERMODYNAMICS
What is the pressure 8,000 ft. (2000m) below the surface of the ocean? Neglect the compressibility factor, SI units. Answer: B A. 21. B. 20. C. 21. D. 22.
What temperature at which water freezes using the Kelvin scale? Answer: B A. 373 B. 273 C. 278 D. 406
The SI units of temperature is: Answer: B A. oF B. oK C. BTU D. oR
The pressure reading of 35 psi in kpa is: Answer: A A. 342. B. 724. C. 273. D. 427.
1 torr is equivalent to pressure Answer: D A. 1 atm B. 2mm Hg C. 14. D. 1/760 atm
What is the standard temperature in the US? Answer: A A. Fahrenheit B. Rankine C. Celsius D. Kelvin
Given steam pressure of 900 lb/ft 2 , temperature of 300oF, specific volume of 5 ft 3 /lb. If the specific enthalpy is 9500 ft-lb/lb, what is the internal energy per lb of the system? Answer: D A. 4400 B. 3900 C. 3600 D. 4280
Water enters the condenser at 25oC and leaves at 40oC. What temperature difference in oF? Answer: C A. 25 B. 26 C. 27 D. 28
Water enters the heater with 28oC and leaves at 75oC. What is the temperature change in oF? Answer: C A. 74. B. 38. C. 84. D. 57.
The specific gravity of mercury relative to water is 13. What is the specific weight of mercury? The specific weight of water is 62 lb per cubic foot. Answer: B A. 102 KN/m 3 B. 132 KN/m 3 C. 150 KN/m 3 D. 82 KN/m 3
An iron block weighs 5 N and has a volume of 200 cm3. What is the density of the block? Answer: C A. 988 kg/m 3 B. 1255 kg/m 3 C. 2550 kg/m 3 D. 800 kg/m 3
The suction pressure of a pump reads 540 mmHg vaccum. What is the absolute pressure in kpa? Answer: D A. 40 B. 3. C. 60 D. 29.
A boiler installed where the atmospheric pressure is 755 mmHg. Has a pressure 12 Kg/cm 2. What is the absolute pressure in Mpa? Answer: B A. 1. B. 1. C. 1. D. 1,
A storage tank contains oil with specific gravity of 0 and depth of 20 m. What is the hydrostatic pressure at the bottom of th tank in kg/cm 2? Answer: A A. 1. B. 2. C. 6. D. 3.
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 3/10/ What was the weight of concrete in place per cubic foot? Answer: D
A. 172 lbs B. 236 lbs C. 162 lbs D. 153 lbs
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. How much by weight of cement is required to produce one cubic yard? Answer: D A. 765 B. 657 C. 675 D. 567
A cylindrical tank 2 m diameter, 3 m high is full of oil. If specific gravity of oil is 0, what is the mass of oil in the tank? Answer: A A. 8482 kg B. 4500 kg C. 1800 kg D. 7000 kg
100 g of water are mixed with 150 g of alcohol (w = 790 kg/m 3 ). What is the specific volume of the resulting mixtures, assuming the fluids mixed completely? Answer: D A. 0 cm 3 /kg B. 0 cm 3 /kg C. 0 cm 3 /kg D. 1 cm 3 /kg
100 g of water are mixed with 150 g of alcohol (w = 790 kg/m 3 ). What is the specific gravity of the resulting mixtures, assuming the fluids mixed completely? Answer: D A. 0. B. 0. C. 0. D. 0.
A spherical tank is full of water that has a total mass of 10,000 kg. If the outside diameter of the tank is 2722 mm, how thick is the wall of the tank? Answer: B A. 50 mm B. 25 mm C. 30 mm D. 35 mm
A cylindrical tank is filled with water at the rate of 5000 gal/min. The height if the water in the tank after minutes is 20 ft. What is the diameter of the tank? Answer: B A. 30 ft B. 25 ft C. 20 ft D. 9 m
Water is flowing through a 1 foot diameter pipe at the rate of 10 m/s. What is the volume flow of water flowing? Answer: C A. 7 ft 3 /sec
Air and fuel enter a furnace used for home heating. The air has an enthalpy of 302 KJ//kg and the fuel has an enthalpy of 43,207 KJ/kg. The gases leaving the furnace have an enthalpy of 616 KJ/kg. of fuel. The house requires 17 KW of heat. What is the fuel consumption per day? Answer: B A. 85 kg B. 41 kg C. 45 kg D. 68 kg
The power plant furnace burns coal at the rate of 108,200 kg/hr. Air at 100 kpa, 28oC is supplied at the rate of 13 kg/kg coal. Determine the volume flow rate of air flow in m 3 /min. Answer: A A. 21,327 m 3 /min B. 19,414 m 3 /min C. 20,435 m 3 /min D. 24,535 m 3 /min
The enthalpy of air is increased by 139 KJ/kg in a compressor. The rate of air flow is 16. kg/min. The power output is 48 KW. Which of the following values most nearly equals the heat loss from the compressor in KW? Answer: A A. - B. +10. C. -9. D. +9.
A steam turbine receives 70 pounds of steam per minute with an enthalpy of 1600 Btu per pound and velocity of 100 ft/sec. It leaves the turbine at 900 ft/sec and 1320 Btu/lb enthalpy. The radiation loss is 84,000 Btu/hr. Find the horsepower output. Answer: A A. 403 hp B. 400hp C. 380 hp D. 410 hp
Steam enters a turbine stage with enthalpy of 3628 KJ/kg 70 m/sec and leaves the same stage with an enthalpy of 2846 KJ/kg and a velocity of 124 m/sec. Calculate the work done by the steam. Answer: A A. 776 KJ/kg B. 873 KJ/kg C. 567 KJ/kg D. 923 KJ/kg
Steam with an enthalpy of 800 kcal/kg enters a nozzle at a velocity of 80 m/sec. Find the velocity of the steam at the exit of the nozzle if its enthalpy is reduced tp 750 kcal/kg. assuming the nozzle is horizontal and disregarding heat losses. Take g(9) m/sec and J = 427 kg-m/kcal. Answer: D
A. 561 m/s B. 142 m/s C. 52 m/s D. 652 m/s
A volume of 450 cc of air is measured at a pressure of 740 mm HG absolute and a temperature of 20 oC. What is the volume in cc at 760 mm HG abs. and 0 oC? Answer:B A. 516. B. 408. C. 620. D. 375.
Assuming compression is according to the law PV = constant. Calculate the initial volume of gas at a pressure of 2 bar which will occupy a volume of 6 cubic meters when it is compressed to a pressure of 42 bar. Answer: A A. 126 m 3 B. 120 m 3 C. 130 m 3 D. 136 m 3
How much heat, KJ must be transferred to 20kg of air to increase the temperature from 20 degrees C to 280 degrees C if the pressure is maintained constant. Answer: C A. 2500 B. 2050 C. 5200 D. 5500
If air is at pressure, p, of 3200 lb/ft 2. And at a temperature, T, of 800oR, what is the specific volume , v? Answer: B A. 14 ft 3 /lb B. 13 ft 3 /lb C. 11 ft 3 /lb D. 9 ft 3 /lb
The mass of air in the room 3m x 5m x 20m is known to be 350 kg. Find its density. Answer: C A. 1 kg/m 3 B. 1 kg/m 3 C. 1 kg/m 3 D. 1 kg/m 3
A transportation company specializes in the shipment of pressurized gaseous materials. An order is received for 100 liters of a particular gas at STP (32oF and 1 atm). What minimum volume tank is necessary to transport the gas at 80oF and a maximum pressure of 8 atm? Answer: B A. 16 liters B. 14 liters C. 10 liters D. 12 liters
A bicycle has a volume of 600 cm 3. It is inflated with carbon dioxide to pressure of 80 psi at 20 oC. How many grams of carbon dioxide are contained in the fire? Answer: A A. 5 g
and temperature at 137 kpa and 24oC; after temperature of the gas in the vessel in Kelvin? Answer: B A. 298. B. 319. C. 180. D. 420.
The temperature of an ideal gas remains constant while the absolute pressure changes from 103. kpa to 827 kpa. If the initial volume is 80 liters, what is the final volume? Answer:B A. 100 li B. 10 li C. 8 li D. 1000 li
What is the density of air under standard condition: Answer: C A. 1 kg/m 3 B. 1 kg/m 3 C. 1 kg/m 3 D. 1 KN/m 3
What is the specific volume of an air at 30oC and 150 kpa? Answer: D A. 1 m 3 /kg B. 0 m 3 /kg C. 1 m 3 /kg D. 0 m 3 /kg
The compression ratio of an Otto cycle is 5. If the initial pressure is 100 kpa, determine the final pressure. Answer: B A. 1000 kpa B. 952 kpa C. 300 kpa D. 100 kpa
How much work is done when 20 ft 3 of an air is initially at a pressure of 15 psia and a temperature of 40oF experience an increase of pressure to 80 psi while volume remains constant? Answer: C A. 1000 Btu B. 3000 Btu C. Zero D. 2000 Btu
A perfect gas has a value of R = 58 ft-lb/lb-oR and k = 1. Btu are added to 5 lbs of this gas at constant volume when initial temperature is 90oF, find the initial temperature. Answer: B A. 100 oF B. 104 oF C. 154 oF D. 185 oF
While the pressure remains constant and 689 kpa, the volume of air changes from 0 m 3 to 0 m 3. What is the work done? Answer: A A. -196 KJ
B. 204 KJ
C. 206 KJ
D. -406 KJ
During the polytropic process of an ideal gas, the state changes from 20 psia and 40oF to 120 psia and 340oF. Determine the value of n. Answer: C A. 1. B. 1. C. 1. D. 1.
A group of 50 persons attend a secret meeting in a room which is 12 meters wide by 10 meters long and a ceiling height of 3 m. The room is completely sealed off and insulated. Each person gives off 120 kcal per hour of heat and occupies a volume of 0 m 3. The room has an initial pressure of 101 kpa and temperature of 16oC. Calculate the room temperature after 10 minutes. Answer: B A. 36. B. 33. C. 23. D. 76.
The compression ratio of an ideal Otto cycle is 6:1. Initial conditions are 101 kpa and 20oC. Find the pressure and temperature at the end of adiabatic compression. Answer: A A. 1244 kpa, 599 B. 1244 kpa, gage, 60oC C. 1244 kpa, 60oC D. 1244 kpa, 599
Ammonia weighing 22 kgs is confirmed inside a cylinder equipped with a piston has an initial pressure of 413 kpa and 38oC. If 2900 KJ if heat is added to the ammonia until its final pressure and temperature are 413 kpa and 100oC, respectively, what is the amount of work done bt rhe fluid in KJ? Answer: A A. 667 B. 304 C. 420 D. 502
Determine the average Cp value in KJ/kg-K of a gas of 522 KJ/kg of heat is necessary to raise the temperature from 300oK to 800oK making the pressure constant: Answer: B A. 1. B. 1. C. 1. D. 1.
A tank contains 80 ft 3 of air at a pressure of 350 psi; if the air is cooled until its pressure and temperature decreases to 200 psi and 70 oF respectively, what is the decrease in internal energy? Answer: B
C. 110 KJ
D. 115 KJ
A gas initially 103 kpa and 0 m 3 undergoes a process to 620 kpa and 0 m 3 during which the enthalpy increases by 16 KJ, Cv = 10 KJ/kgoK. Determine the Cp of gas. Answer: A A. 14 KJ/kg-oK B. 2 Btu/lb-oR C. 13 KJ/kg-oK D. 10 Btu/lb-oK
A perfect gas has a value of R = 5808 ft-lb/lb-oR and k = 1. If 20 Btu are added to 5 lb of this gas at constant volume when initial temperature is 90oF, find the final temperature. Answer: C A. 100 B. 167 oC C. 103 oC D. 145 oC
While the pressure remains constant at 689 kpa the volume of a system of air changes from 0 m 3 to 0 m 3. Find the change of internal energy. Answer: B A. 389 KJ B. 493 KJ C. 678 KJ D. 245 KJ
If initial volume of an ideal gas is compressed to one half its original volume and to twice its original temperature, the pressure. Answer: B A. Doubles B. Quadruples C. Remains constant D. Halves
What horsepower is required to isothermally compress 800 ft 3 of air per minute from 14 psia to 120 psia? Answer: D A. 13900 Hp B. 28 Hp C. 256 Hp D. 108 Hp
An ideal gas at 45 psig and 80oF is heated in a closed container to 130oF. What is the final pressure? Answer
A Carnot engine requires 35 KJ/sec from the hot source. The engine produces 15 kw of power ant the temperature of the sink 26oC. What is the temperature of the hot source? Answer C A. 245. B. 210. C. 250. D. 260.
A Carnot engine receives 130 Btu of heat from a hot reservoir at 700oF and rejects 49 Btu of heat. Calculate the temperature of the cold reservoir. Answer: D A. -21
B. -24 oF C. -20 oF D. -22 oF
The maximum thermal efficiency possible for a power cycle operating between 1200 oF and 225 oF is: A. 58% B. 58% C. 57% D. 57%
A heat engine is operated between temperature limits of 1370oC and 260oC. Engine supplies with 14,142 KJ per KWH. Find the Carnot cycle efficiency in percent. Answer: C A. 70. B. 65. C. 67. D. 69.
An Otto cycle has clearance volume of 7%. It produces 300 kw power. What is the amount of heat rejected in KW? Answer: C A. 170 B. 160 C. 152 D. 145
A closed vessel contains air at a pressure of 160 KN/m 2 gauge and temperature of 30oC. The air is heated at constant volume of 60oC with the atmospheric pressure as 759 mm Hg. What is the final gauge pressure? Answer: C A. 174 B. 169 C. 185. D. 172
An air standard engine has a compression ratio of 20 and cut-off ratio of 5. If the intake air pressure and temperature are 100 kpa and 27oC, find the work in KJ per kg. Answer: B A. 2976 B. 2166 C. 2437 D. 2751
The thermal efficiency of a particular engine operating on an ideal cycle is 35%. Calculate the heat supplied per 1200 watt-hr of work developed in KJ. Answer:A A. 12343 B. 10216 C. 14218 D. 11108
In an air standard Otto cycle, the clearance volume is 18% of the displacement volume. Find the compression ratio and or thermal efficiency. Answer: C A. 0. B. 0.
D. 45%
Determine the air-standard efficiency of an engine operating on the diesel cycle with clearance of 8% when the suction pressure is 99 kpa and the fuel is injected for 6% of the stroke. Assume k = 1. Answer: D A. 63% B. 51% C. 73% D. 60%
A heat engine ( Carnot cycle ) has its intake and exhaust temperature if 157 oC and 100oC, respectively. What is its efficiency? Answer: D A. 12% B. 14% C. 15% D. 13%
Find the enthalpy of 100 psi and 97% quality, hf = 298 Btu/lb; hfg = 889 Btu/lb. Answer: B A. 1170 Btu/lb B. 1161 Btu/lb C. 1734 Btu/lb D. 1803 Btu/lb
180 grams of saturated water of temperature 95oC undergoes evaporation process until all vapor completely vaporized. Determine the changed in volume. At 95oC, vf= 0 m 3 /kg. Answer: D A. 0 m 3 B. 0 m 3 C. 0 m 3 D. 0 m 3
Five kilograms of saturated liquid at kpa is heated until its moisture content is 5%. Find the work done for this process. Answer A A. 813 KJ/kg B. 643 KJ/kg C. 542 KJ/kg D. 753 KJ/kg
Twenty kilograms of water at 40oC is confined in a rigid vessel. The heat is supplied until all the water is completely vaporized. Find the heat added in KJ. Answer: C A. 45,422 KJ B. 43,122 KJ C. 45,252 KJ D. 65,233 KJ
Steam at 2 Mpa and 250oC in a rigid cylinder is cooled until the quality is 50%. Find the heat rejected from the cylinder. At 2 Mpa and 250oC V = 0 m 3 /kg u = 2679 KJ/kg At 2 Mpa, (saturated)
Vf = 0 m 3 /kg vg = 0 m 3 /kg uf = 906 1693 Answer: B A. -432 KJ/kg B. -926 KJ/kg C. -834 KJ/kg D. 1082 KJ/kg
At 1 Find the entropy in KJ/kg-K at 90% moisture of a 1 Mpa steam-water mixture? At 1 Mpa: sg = 6 sfg = 4. A. 4. B. 6. C. 2. D. 4.
At 1 Mpa, mixture steam and water has an entropy of 4 KJ/kg-K. Find the enthalpy of the mixture. At 1 Mpa: sf = 2, sg = 6, hf = 514, hfg = 1972 Answer: A A. 1627 KJ/kg B. 1533 KJ/kg C. 1234 KJ/kg D. 1734 KJ/kg
Mixture with 80% quality at 500 kpa is heated isothermally until its pressure is 300 kpa. Find the heat added during the process. At 500 kpa: sf = 1, sfg = 4. At 300 kpa and 151: s = 7 KJ/kg Answer: B A. 652 KJ/kg B. 535 KJ/kg C. 983 KJ/kg D. 765 KJ/kg
A tank contains exactly one kilogram of water consisting of liquid and vapor in equilibrium at 1 Mpa. If the liquid and vapor each occupy one-half the volume of the tank, what is the enthalpy of the content of the tank? Answer: B A. 644 KJ/kg B. 774 KJ/kg C. 833 KJ/kg D. 435 KJ/kg
A vessel with a volume of 1 m 3 contains liquid water and water vapor in equilibrium at 600 Kpa. The liquid water has a mass of 1 kg. Using steam tables, calculate the mass of water vapor. Answer: A A. 3 kg B. 0 kg C. 1 kg D. 1 kg
Water substance at 70 bar and 65oC enters a boiler tube of constant inside diameter of 25 mm. The water leaves the boiler tube at 50 bar and 700oK at velocity of 100 m/s. Calculate the inlet velocity(m/sec) Answer: C A. 1. B. 2.
A. 2.
B. 5.
C. 3.
D. 1.
114. A vessel of 0 m 3 capacity is well insulated and is divided equally by a rigid conducting diaphragm. Initially both halves contain air at pressure of 137 kpa and 413 kpa and temperature 27oC and 177oC respectively. What is the increase of entropy of the system in KJ/oC? Answer: C A. 1. B. 0. C. 0. D. 0.
Using steam table. Find the enthalpy of steam at kpa if its specific volume is 0 m 3 /kg. Answer: A A. 1625 KJ/kg B. 1785 KJ/kg C. 1543 KJ/kg D. 1687 KJ/kg
A throttling calorimeter is connected to the desuoerheated steam line supplying steam to the auxiliary feed pump on a ship. The line pressure measures 2 Mpa. The calorimeter pressure of 137 kpa and 413 kpa and temperature of 27oC and 177oC respectively. What is the increase of entropy of the system in KJ/oC? Answer: C A. 6 KJ/kg-oK B. 7 KJ/kg-oK C. 6 KJ/kg-oK D. 7 KJ/kg-oK
Steam enters an isothermal compressor at 400oC and 100 kpa. The exit pressure is 10 Mpa, determine the change of enthalpy. Answer: D A. 198 KJ/kg B. 178 KJ/kg C. 187 KJ/kg D. 182 KJ/kg
Steam enters an adiabatic at 300oC and 400 kpa. It exits as a saturated vapor at 30 kpa. Determine the work done. Answer: B A. 476 KJ/kg B. 441 KJ/kg C. 436 KJ/kg D. 524 KJ/kg
A 0 m 3 tank contains saturated steam at 300 kpa. Heat is transferred until pressure reaches 100 kpa. Find the final temperature. Answer: C A. 94 B. 83 C. 99 D. 103
A 500 li contains a saturated mixture of steam and water at 300oC. Determine the mass of vapor if their volumes are equal. Answer: A A. 11 kg B. 10 kg C. 13 kg D. 16 kg
A 1 kg steam-water mixture at 1 Mpa is contained in an inflexible tank. Heat is added until the pressure rises to 3 Mpa and 400oC. Determine the heat added. Answer: A A. 1378 KJ B. 1532 KJ C. 1456 KJ D. 1635 KJ
Atmospheric pressure boils at 212oF. At the vacuum pressure at 24 in Hg, the temperature is 142 oF. Find the boiling temperature when the pressure is increased by 45 psia. Answer: C A. 342 B. 526 C. 479 D. 263
What is the temperature in degree C of 2 liters of water at 30oC after 500 calories of heat have been added to? Answer: B A. 35. B. 30. C. 38. D. 39.
A mass of 0 kg metal having a temperature of 100oC is plunged into 0 kg if water at 20oC. The temperature of the water and metal becomes 48oC. The latent heat of ice at 0oC is 335 KJ- oK, Assuming no heat loss to the surroundings, determine the specific heat capacity of the metal in KJ/kg-oK. Answer: D A. 0. B. 0. C. 0. D. 0.
What is the total energy required heating in raising the temperature of a given amount of water when the energy applied is 1000 KWH with heat losses of 25%? Answer: C A. 1000 B. 1500 C. 1333 D. 1250
A 30 kg iron was put in a container with 14 kg water. The water is at 10oC and the iron has an initial temperature of 439oK until the iron was in thermal equilibrium with water. Find the change in entropy. (Cp = 0 KJ/kgoK) Answer: D A. -12 KJ/oK B. -43 KJ/oK C. -25 KJ/oK D. -6 KJ/oK
254466059 PIPE - Keep Learning
Course: Engineering Mathematics (Math1)
University: University of Nueva Caceres
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