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  • Kevin Bitor

  • 問題数 63 • 7/12/2023

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    問題一覧

  • 1

    A hydro-electric impulse turbine is directly coupled to a 24 pole, 60 Hz alternator. It has a specific speed of 60 rpm and develops 3000 Hp. What is the required diameter assuming a peripheral speed ratio of 0.55.

    0.808 m

  • 2

    A gas turbine power plant operating on the Brayton cycle delivers 15 MW to a non-prime electric generator. What is the mass flow rate and the volume flow rate of air if the minimum and maximum pressures are 100 kPa and 500 kPa respectively, and temperatures of 20°C and 1000°C.

    31.97 kg/s, 26.88 m3/s

  • 3

    The net power output of an air-standard Brayton cycle is 187 kW. Air enters the compressor at 32°C and leaves the high-temperature heat exchanger at 800°C. What is the mass flow rate of air if it leaves the turbine at 350°C.

    0.81 kg/s

  • 4

    There are required 2312 kW net from a gas turbine unit pumping of crude oil. Air enters the compressor section at 100 kPa, 280 K, the pressure ratio rp = 10. the turbine section receives the hot gases at 1,100 K. Assume the closed Brayton cycle and determine the required air flow.

    8.52 kg/s

  • 5

    A pure steam is admitted to the cylinder of an engine in such a manner the average pressure is 135 psi. The diameter of the piston is 250 mm and the length of stroke is 300 mm. What is the Hp of the engine when it is making 300 rpm?

    192.8 Hp

  • 6

    A pure steam enters a turbine stage with an enthalpy of 3628 kJ/kg at 70 m/s and leaves the same stage with an enthalpy of 2846 kJ/kg and a velocity of 142 m/s. Calculate the power if there are 5 kg/s steam admitted at the turbine throttle?

    3871.84 kW

  • 7

    A travelling-grate stocker can burn bituminous coal with 10% moistue and 10% ash at a rate of 495,120 BTU/hr-ft^2. A boiler with a steam rating of 200,000 lb/hr will be fired with the above fuel having a high heat value of 12,000 BTU/lb. If the boiler efficiency is 80%, and if it takes 1000 BTU to evaporate and superheat one pound of feedwater to the desired temperature, find the hourly coal supply and grate area needed.

    20,500 lb, 505 ft2

  • 8

    Steam from the boiler is expanded through a nozzle and the enthalpy drop per kg of steam from the initial pressure to the final pressure is 60 kJ. Neglecting friction, find the velocity of discharge and the exit area of the nozzle to pass 0.20 kg/s if the specific volume of the steam at the exit is 1.45 m3/kg

    346.4 m/s , 867 m2

  • 9

    The heating value of fuel supplied in a boiler is 40,000 kJ/kg. If the factor of evaporation is 1.10 and the actual specific evaporation is 12.5, what is the efficiency of the boiler?

    77.60%

  • 10

    Two new wet back boilers are operating steadily on 91,112 kg of coal contained in a bunker. One boiler is producing 1591 kg of steam per hour at 1.2 factor of evaporation and an efficiency of 65% and another boiler produced 1364 kg of steam per hour at 1.15 factor of evaporation and an efficiency of 60%. How many hrs will the coal in the bunker run the boilers if the heating value of coal is 7590 kCal/kg?

    231.08 hrs

  • 11

    A diesel power plant uses fuel with heating value of 43,000 kJ/kg. What is the density of the fuel at 40°C?

    960 kg/m3

  • 12

    Fuel oil in an elevated day tank for use of an industrial boiler is tested with hydrometer. The hydrometer reading indicates a S.G. = 0.924 when the temperature of the oil in the tank is 95°F. Calculate the higher heating value of the fuel.

    43,852.13 kJ/kg

  • 13

    Wet saturated steam at 16 bar (hf = 859 kJ/kg , hfg = 2023 kJ/kg) reducing valve and is throttled to a pressure of 8 bar (hf = 721 kJ/kg, hfg = 2048 kJ/kg). Find the dryness fraction of the reduced pressure steam

    1.0354

  • 14

    A 1.5 kg of wet steam at a pressure of 73 psi (hf = 640 kJ/kg, hfg = 2109 kJ/kg) dryness 0.95 is blown into 18.5 gallons of water of 54°F (h = 50.4 kJ/kg). Find the final enthalpy of the mixture.

    104.80 kJ/kg

  • 15

    2.5 liters of superheated steam at 25 bar and 400 °C (v = 0.1252 m3/kg) is expanded in an engine to a pressure of 0.1 bar (vg = 14.674 m3/kg, vf = 0.0010102 m3/kg) when its dryness fraction is 0.8. Find the final volume of the steam

    234.44 liters

  • 16

    One kilogram of wet steam at a pressure of 116 psi (vg = 0.2404 m3/kg, vf = 0.0011148 m3/kg) and dryness 0.94 is expanded until the pressure is 101 psi (vg = 0.4625 m3/kg, vf = 0.0010836 m3/kg). If expansion follows the law PV^n = C, where n= 1.12, find the dryness fraction of the steam at the lower pressure.

    0.5494

  • 17

    A reverse Carnot cycle requires 3 Hp and extracts energy from Taal lake to heat a house. If the house is kept at 21°C and requires 2100 Btu per minute, what is the temperature of the lake?

    38.18°F

  • 18

    The journals of a shaft are 38 cm diameter, it runs at 105 rpm and the coefficient of friction between journals and bearings is 0.02. If the average load on the bearings is 200 kN, find the heat generated per minute at the bearings.

    501.375 kJ

  • 19

    A pipe with an outside diameter of 65 mm is insulated with a 50 mm layer of asbestos (k_a 0.396 Btu-in./hr-ft2-°F), followed by a layer of cork 40 mm thik (k_c = 0.30 Btu-in./hr-ft2-°F). If the temperature of the outer surface of the cork is 90°F, calculate the heat lost per 100 ft of insulated pipe.

    2847.42 Btu/hr

  • 20

    A wall with an area of 10 m2 is made of a 20 mm thickness of white pine (k = 0.113 W/m°C) followed by 100 mm of brick (k = 0.649 W/m°C). The pine is on the inside where the temperature is 30°C while the outside temperature is 10°C. Assuming equilibrium conditions exist, what is the temperature at the interface between the two metals?

    19.31°C

  • 21

    A surface condenser serving a 50 MW steam turbo-generator unit receives exhaust steam at the rate of 196,000 kg/hr. Vacuum in condenser is 702 mm Hg. Sea water for cooling enters at 29.5°C and leaves at 37.5°C. For steam turbine condenser, manufacturers consider 950 Btu/lb of steam turbine condensed as heat given up to cooling water. Calculate the logarithmic mean temperature difference

    6.57°C

  • 22

    A copper rod whose diameter is 20 mm and length 500 mm has one end in boiling water, the other end in a jacket cooled by flowing water which enters at 10°C. The thermal conductivity of the copper is 0.102 kCcal/m-s-°C. If 0.40 kg of water flows through the jacket in 6 min, by how much does the temperature of the water increase?

    5.19 °C

  • 23

    A pipe 20 cm outside diameter and 20 m length is covered with a layer, 8 cm thick of insulation having a thermal conductivity of 0.05 W/m-K and a thermal conductance of 10 W/m2-K at the outer surface if the temperature of the pipe is 400°C and the ambient temperature is 15°C, calculate the external surface temperature of the lagging

    35.22 °C

  • 24

    An insulated steam pipe located where the ambient temperature is 32°C, has an inside diameter of 50 mm with 10 mm thick wall. The outside diameter of the corrugated asbestos insulation is 125 mm and the surface coefficient of still air, ho = 12 W/m2-K. Inside the pipe is steam having a temperature of 170°C with film coefficient hi = 6000 W/m2-K. Thermal conductivity of pipe and asbestos insulation are 45 and 0.12 W/m-K respectively. Determine the heat loss per unit length of pipe

    140 W

  • 25

    Water (ρ = 62.4 lbm/ft3) is flowing through a pipe. A pitot-static gage registers 3.0 inches of mercury. What is the velocity of water in the pipe? Note: ρHg = 848.6 lbm/ft3

    14.7 ft/s

  • 26

    A cylindrical 1 ft diameter, 4 ft high tank contains 3 ft of water. What rotational speed is required to spin water out the top?

    22.7 rad.s

  • 27

    Compute the specific volume of an air-vapor mixture in cubic meters per kilogram of dry air when the following conditions prevail: t = 40° C, w = 0.015 kg/kg, and Pt = 100 kPa

    0.99 m3/kg

  • 28

    Compute the humidity ratio of air consideing the density at 27°C and 98 kPa is 1.32 kg/m3

    0.35 kgvapor/kgair

  • 29

    Compute the specific volume of an air-vapor mixture in cubic meters per kilogram of dry air when the following conditions prevail : t = 30°C, w = 0.015 kg/kg, and P, = 90 kPa.

    0.99 m³/kg

  • 30

    Compute the humidity ratio of air considering the density at 35°C and 101 kPa is 1.05 kg/m3.

    0.036 kgvapor/kgair

  • 31

    A cylindrical 1 ft diameter, 4 ft high tank contains 3 ft of water. What rotational speed is required to spin water out the top?

    22.7 rad/s

  • 32

    Water (p = 62.4 lbm/ft) is flowing through a pipe. A pitot-static gage registers 3.0 inches of mercury. What is the velocity of the water in the pipe? Note: PHg = 848.6 lbm/ft3

    14.24 ft/s

  • 33

    An insulated steam pipe located where the ambient temperature is 32°C, has an inside diameter of 50 mm with 10 mm thick wall. The outside diameter of the corrugated asbestos insulation is 125 mm and the surface coefficient of still air, ho= 12 W/m2-K. Inside the pipe is steam having a temperature of 150°C with film coefficient h; = 6000 W/m2-K. Thermal conductivity of pipe and asbestos insulation are 45 and 0.12 W/m-K respectively. Determine the heat loss per unit length of pipe.

    120 W

  • 34

    A pipe 200 mm outside diameter and 20 m length is covered with a layer, 70 mm thick of Insulation having a thermal conductivity of 0.05 W/m-K and a thermal conductance of 10 W/m2-K at the outer surface If the temperature of the pipe is 350°C and the ambient temperature 15°C, calculate the external surface temperature of the lagging.

    32.6°C

  • 35

    A copper rod whose diameter is 2 cm and length 50 cm has one end in boiling water, the other end in a jacket cooled by flowing water which enters at 10°C. The thermal conductivity of the copper is 0.102 kcal/m-s-°C. If 0.20 kg of water flows through the jacket in 6 min, by how much does the temperature of the water increase?

    10.38°C

  • 36

    A surface condenser serving a 50,000 KW steam turbo-generator unit receives exhaust steam at the rate of 195,000 kg/hr. Vacuum in condenser is 702 mm Hg. Sea water for cooling enters at 29.5°C and leaves at 37.5°C. For steam burbine condenser, manufacturers consider 950 Btu/lb of steam turbine condensed as heat given up to cooling water. Calculate the logarithmic mean temperature difference.

    6.57°C

  • 37

    A pipe with an outside diameter of 2.5 in. Is insulated with a 2 in. layer of asbestos (k,= 0.396 Btu-in./hr-ft-F), followed by a layer of cork 1.5 in. thick (k = 0.30 Btu-in./hr-ft-°F). If the temperature of the outer surface of the cork is 90°F, calculate the heat lost per 100 ft of insulated pipe.

    2847.42 Btu/hr

  • 38

    A wall with an area of 10 m2 is made of a 2 cm thickness of white pine (k= 0.113 W/m°C) followed by 10 cm of brick (k = 0.649 W/m°C). The pine is on the inside where the temperature is 30°C while the outside temperature is 10°C. Assuming equilibrium conditions exist, what is the temperature at the interface between the two metals?

    19.31°C

  • 39

    The journals of a shaft are 380 mm diameter, it runs at 105 rpm and the coefficient of friction between journals and bearings is 0.02. If the average load on the bearings is 200 KN, find the heat generated per minute at the bearings.

    501.375 kJ

  • 40

    A reverse Carnot cycle requires 3 Hp and extracts energy from a lake to heat a house. If the house is kept at 70°F and requires 2000 Btu per minute, what is the temperature of the lake ?

    36°F

  • 41

    One kilogram of wet steam at a pressure of 8 bar (v, = 0.2404 m3/kg, vr = 0.0011148 m3/kg) and dryness 0.94 is expanded until the pressure is 4 bar (v, = 0.4625 m3/kg, vf = 0.0010836 m3/kg). If expansion follows the law PVC, where n = 1.12, find the dryness fraction of the steam at the lower pressure.

    0.9072

  • 42

    2.5 liters of superheated steam at 25 bar and 400°C (v = 0.1252 m3/kg) is expanded in an engine to a pressure of 0.1 bar (v2 = 14.674 m3/kg, vf = 0.0010102 m3/kg) when its dryness fraction is 0.9. Find the final volume of the steam.

    263.74 liters

  • 43

    A 1.5 kg of wet steam at a pressure of 5 bar (h, = 640 kJ/kg, h = 2109 kJ/kg) dryness 0.95 is blown into 70 liters of water of 12°C (h= 50.4 10/kg). Find the final enthalpy of the mixture.

    104.80 kJ/kg

  • 44

    Wet saturated steam at 16 bar (h,= 859 kJ/kg, hip = 1935 kJ/kg) reducing valve and is throttled to a pressure of 8 bar ( hr = 721 kJ/kg, h = 2048 kJ/kg ). Find the dryness fraction of the reduced pressure steam.

    0.9933

  • 45

    Fuel oil in a day tank for use of an industrial boiler is tested with hydrometer. The hydrometer reading indicates a S.G. = 0.924 when the temperature of the oil in the tank is 35°C. Calculate the higher heating value of the fuel.

    43,852.13 kJ/kg

  • 46

    A diesel power plant uses fuel with heating value of 43,000 kJ/kg. What Is the density of the fuel at 25°C?

    970 kg/m³

  • 47

    Two boilers are operating steadily on 91,000 kg of coal contained in a bunker. One boiler is producing 1591 kg of steam per hour at 1.2 factor of evaporation and an efficiency of 65% and another boiler produced 1364 kg of steam per hour at 1.15 factor of evaporation and an efficiency of 60%. How many hrs will the coal in the bunker run the bollers If the heating value of coal is 7,590 kcal/kg ?

    230.80 hrs

  • 48

    The heating value of fuel supplied in a boiler is 40,000 kJ/kg. If the factor of evaporation is 1.10 and the actual specific evaporation is 10, what is the efficiency of the boiler?

    62.07 %

  • 49

    A travelling-grate stoker can burn bituminous coal with 10% moisture and 10% ash at a rate of 500,000 BTU/hr-ft. A boller with a steam rating of 200,000 lb/hr will be fired with the above fuel having a high heat value of 12,200 BTU/lb. If the boiler efficiency is 80%, and if it takes 1000 BTU to evaporate and superheat one pound of feedwater to the desired temperature, find the hourly coal supply and grate area needed.

    20,500 lb, 500 ft²

  • 50

    Steam is expanded through a nozzle and the enthalpy drop per kg of steam from the initial pressure to the final pressure is 60 kJ. Neglecting friction, find the velocity of discharge and the exit area of the nozzle to pass 0.20 kg/s if the specific volume of the steam at exit is 1.5 m3/kg.

    346.4 m/s, 866 m²

  • 51

    Steam is admitted to the cylinder of an engine In such a manner the average pressure is 120 psi. The diameter of the piston is 10 in. and the length of stroke is 12 in. What is the Hp of the engine when it is making 300 rpm ?

    171.5 Hp

  • 52

    Steam enters a turbine stage with an enthalpy of 3628 kJ/kg at 70 m/s and leaves the same stage with an enthalpy of 2846 kJ/kg and a velocity of 124 m/s. Calculate the power if there are 5 kg/s steam admitted at the turbine throttle?

    3883.81 kW

  • 53

    There are required 2200 kW net from a gas turbine unit for pumping of crude oil. Air enters the compressor section at 100 kPa, 280 K, the pressure ratio r, = 10. The turbine section receives the hot gases at 1,100 K. Assume the closed Brayton cycle and determine the required air flow.

    8.11 kg/s

  • 54

    The net power output of an air-standard Brayton cycle is 200 kW. Air enters the compressor at 32°C and leaves the high-temperature heat exchanger at 800°C. What is the mass flow rate of air if it leaves the turbine at 350°C ?

    0.87 kg/s

  • 55

    A gas turbine power plant operating on the Brayton cycle delivers 15 MW to a standby electric generator. What is the mass flow rate and the volume flow rate of air if the minimum and maximum pressures are 100 kPa and 500 kPa respectively, and temperatures of 20°C and 1000°C.

    31.97 kg/s, 26.88 m³/s

  • 56

    A hydro-electric impulse turbine is directly coupled to a 24 pole, 60 Hz alternator. It has a specific speed of 60 rpm and develops 3000 Hp. What is the required diameter assuming a peripheral speed ratio of 0.45.

    0.661 m

  • 57

    If atmospheric air is 14.7 psia and 60°F at sea level, what is the pressure at 12000 ft altitude if air is incompressible. Note: @ 60°F ; the density of air is 0.0763 lbm/ft3 ; P1 = 14.7 psia

    8.342 psia

  • 58

    If atmospheric air is 14.7 psia and 60°F at sea level, what is the pressure at 12000 ft altitude if air is incompressible. Note: @ 60°F ; the density of air is 0.0763 lbm/ft3 ; P1 = 14.7 psia

    9.53 psia

  • 59

    If atmospheric air is 14.7 psia and 60°F at sea level, what is the pressure at 14212 ft altitude if air is incompressible. Note: @ 60°F ; the density of air is 0.0763 lbm/ft3 ; P1 = 14.7 psia

    7.1696 psia

  • 60

    If atmospheric air is 14.7 psia and 60°F at sea level, what is the pressure at 12300 ft altitude if air is incompressible. Note: @ 60°F ; the density of air is 0.0763 lbm/ft3 ; P1 = 14.7 psia

    9.43 psia

  • 61

    An insulated steam pipe located where the ambient temperature is 32°C, has an inside diameter of 50 mm with 10 mm thick wall. The outside diameter of the corrugated asbestos insulation is 125 mm and the surface coefficient of still air, ho = 12 W/m2-K. Inside the pipe is steam having a temperature of 170°C with film coefficient hi = 6000 W/m2-K. Thermal conductivity of pipe and asbestos insulation are 45 and 0.12 W/m-K respectively. Determine the heat loss per unit length of pipe

    140 W

  • 62

    In a gas turbine unit, air enters the combustion chamber at 550 kpa, 277°C and 43 m/s. The products of combustion leave the combustor at 511 kpa, 1004°C and 180 m/s. Liquid fuel enters with a heating value of 43,000 KJ/kg. For fuel-air ratio of 0.0229, what is the combustor efficiency of the unit in percent?

    75.38%

  • 63

    Air enters the combustion chamber of a gas turbine unit at 550 kPa, 227°C and 43 m/s. The products of combustion leave the combustor at 517 kPa, 1007°C and 140 m/s. Liquid fuel enters with a heating value of 43,000 kJ/kg. The combustor efficiency is 95 %. What is the air-fuel ratio? Note: Properties of air : T(K) h(kJ/kg) 500 503.02 1280 1372.25

    44.95