問題一覧
1
Water is pumped at 1 m3/s to an elevation of 5 meters through a flexible hose using a 100% efficient pump rated at 100 kilowatts. Using the same length of hose, what size motor is needed to pump 1 m3/s of water to a tank with no elevation gain? In both cases both ends of the hose are at temperature pressure. Neglect kinetic energy effects.
51 kW
2
What is the flow rate through a pipe 4 inches in diameter carrying water at a velocity of 11 ft/sec?
430.8 gpm
3
The type of flow occupying in a 1 cm diameter pipe which water flows at a velocity of 2.50 m/s. Use v = 1.13 x 10 m2/s of water.
turbulent
4
An Ocean- Thermal Energy Conversion power plant generates 10,000 KW using a warm surface water inlet temperature of 26 deg C and a cold deep-water temperature of 15 deg C. On the basis of a 3 deg C drop in the temperature of the warm water and a 3 deg C rise in the temperature of the cold water due to removal and addition of heat, calculate the power required in KW to pump the cold-deep water to the surface and through the system heat exchanger if the required pumping pressure increase is 12kPa. Assume a Camot cycle efficiency and density of cold water to be 1000 kg/m3.
250
5
Calculate the Reynolds number, Re, for water at 20 *C flowing in an open channel. The water flowing at a volumetric rate of 200 gal/sec. The channel has a height of 4 feet and a width of 8 feet. At this temperature, water has a kinetic viscosity of 1.104 x 10 ft/sec.
600000
6
Find the Enthalphy of helium if its internal energy is 200 kj/kg
333.42 kj/kg
7
An ideal Brayton cycle has a net work output of 150 KJ/kg and backwork of 0.4. If both the turbine and the compressor had an isentropic efficiency of 80%, the net work output of the cycle would be:
75 kJ/kg
8
Centrifugal pump at best efficiency point (BEP). Assume the pump characteristic are head, h = 7 m, flow rate, Q = 19 liters/sec, and rotative speed n = 1170 rpm. Find the specific speed in SI units.
0.71
9
A refrigeration system is to cool bread loaves with an average mass of 450 g from 22°C to -10°C at a rate of 500 loaves per hour by refrigerated air. Taking the average specific and latent heats of bread to be 2.93 kJ/kg°C and 109.3 kJ/kg respectively, determine the product load
761.5 kJ/min
10
Helium gases is compressed in an adiabatic compressor from an initial state of 14 psia and 50 deg F to a final temperature of 320 deg F in a reversible manner. Determine the exit pressure of Helium.
40.5 psia
11
An ammonia ice plant operates between a condenser temperature of 35°C and evaporator of -15°C. It produces 10 metric tons of ice per day from water at 30°C to ice at - 5°C. Assuming simple saturation cycle, determine the horsepower of the motor if the adiabatic efficiency of the compressor = 0.85 and mechanical efficiency 7 = 0.95. The specific heat of ice is 2.094 kJ/kg.°C and the latent heat is 335 kJ/kg. From the table for ammonia the following enthalpies are: condenser entrance = 1703 kJ/kg, exit = 366.1 kJ/kg; compressor entrance = 1443.9 kJ/kg, exit = 1703 kJ/kg
21.9 hp
12
A gaseous mixture of propane (C3Ha), methane (CH4), and ethane (C2H) have partial pressure 50 kPa, 95 kPa, and 115 kPa respectively. Determine the mass percentage of propane.
30.68
13
The Philippines is embarking into the use of renewable energy sources like wind power to save on its energy needs. Determine the maximum power in KW that may be derived from a 55 kph wind if the wind rotor to used has a blade diameter of 32 m and the over-all conversion efficiency maybe taken as 35% average air pressure is 100 KPa and ambient temperature of 32°C must be assumed
573
14
A two-stage, double-acting compressor is to deliver 90 lb/min of air form 14.3 psla and 90°F to a final pressure of 185 psia. The normal barometer is 29.8 in-Hg and the temperature is 80°F. The pressure drop in the intercooler is 3 psl and the speed is 210 rpm and pv = C during compression and expansion. The clearance is 5% for both cylinders. temperature of the cooling water increase by 18°F. Find the volume of free air.
1230 CFM
15
If the energy efficiency ratio of the refrigeration system is 12.6, what is the COP of the system?
3.69
16
A rigid tank contains 20 lbm of air at 20 psia and 70 deg F. More air is added to the tank until the pressure and temperature rise to 35 psia and 90 deg F, respectively. Determine the amount of air added to the tank.
13.73 lbm
17
A 1mx 1.5m cylindrical tank is full of oil with SG = 0.92. Find the force acting at the bottom of the tank in dynes.
106.33 x 10⁶
18
Find the pressure at the 100 fathom depth of water in kpag.
1,793.96
19
A 29.53" x 39.37" pressure vessel contains ammonia with 0.041. Compute the minimum required discharge capacity of the relief device in kg/hr.
110.71 kg/hr
20
If the velocity of discharge from a fire hose is 15 m/s and the hose is oriented 45° from the horizontal. Disregarding air friction, determine the maximum range of the discharge.
23 m
21
The rate of heat transfer to the surroundings from a person at rest is about 400 KJ/hr. Suppose that the ventilation system fails in an auditorium containing 120 people and assuming that the energy goes into the air of volume 1500 m3 initially at 300 deg K and 101 kPa, calculate the rate in deg C/min of air temperature change.
0.63
22
Fifty kilograms of cooling water per second enter the condenser at 25 °C and leaves at 50 °C. Find the heat carried away by water.
5233.75 kW
23
Determine power required for 2000 kg car to climb 100m long uphill road with a slope of 30° (from horizontal) in 10 seconds from rest to a final velocity of 30 m/s disregard friction, air drag and rolling resistance
188.066 KW
24
A pressure gage registers 50 psig in a region where the barometer reads 14.8 psia. Find the absolute pressure in kPa.
446.66
25
Methyl alcohol (Ch,OH) is burned with 25% excess air. How much unbumed oxygen in kg-mol-oxygen/.kg-mol-fuel will there in the products if the combustion is complete?
0.37
26
For heat transfer purposes, a standing man can be modeled as a 30 cm diameter, 170 cm long vertical cylinder with bottom both the top and bottom surfaces insulated and with the side surface at an average temperature of 34 deg C. For a convection heat transfer coefficient is 15 W/m2-C, determine the rate of the heat loss from this man by convection in an environment at 20 deg C.
336.46
27
One kilogram of air is compressed adiabatically and in a steady-flow manner. The compression efficiency is 80% and the work done on the air is 265 kJ/kg. Compute the heat. C. 0 kJ/kg D. 331.25 kJ/kg
0
28
A pump in a municipality's water-supply system receives water from the filtration beds and pumps it up to the top of a water tower. The tower's height is 35 m, and the inlet piping to the pump is 2 m below the pump's intake. The water temperature is 20°C, measured at both the inlet and the discharge from the pump. The mass flow rate through the pump is 100 kg/s, the diameter of the inlet piping is 25 cm, and the diameter of the discharge piping is 15 cm. Determine the power required by the pump.
33.77 kW
29
If the average energy in a nuclear reaction is 200 MeV / fission, what is the power output of a reactor if there are 2.34 x 1019 fissions per second?
750 MW
30
A Pelton wheel has a capacity of 25 000 kW with head of 260 m. What is the number of jet needed for this turbine if the jet if the nozzle jet diameter is 200 mm.
4
31
A liquid dominated geothermal plant with a single flash separator receives water at 204°C. The separator pressure is 1.04 MPa. A direct contact condenser operates at 0.034 MPa. The turbine has a polytropic efficiency of 0.75. For a cycle output of 60 MW, what is the mass flow rate of the well-water in kg/s?At 204°C: hr = 870.51 kJ/kg At 1.04 MPa: hr = 770.38 h = 2009.2 h, 6.5729At 0.034 MPa:h = 301.40 0.9793 S = 6.7463
2,933
32
A 500 kW Diesel engine operates at 101.3 kPaa and 27 °C in Calamba City. If the engine will operates in Baguio City having 93 kPaa and 23 °C, what new brake power will be developed if mechanical efficiency is 85 %.
455.96 kW
33
Copra enters a dryer containing 70% moisture and leaves at 7% moisture. Find the moisture removed on each pound of solid in final product.
2.258 lb
34
A 350 mm x 450 mm steam engine running at 280 rpm has an entrance steam condition of 2 MPa and 230°C and exit at 0.1 MPa. The steam consumption is 2000 kg/hr and mechanical efficiency is 85%. If indicated mean effective pressure is 600 kPa, determine brake thermal efficiency.At 2 MPa and 230°C (Table 3):h1 = 2849.6 S1 = 6.4423 At 0.1 MPa:S = 1.3026 h = 417.46 Stg = 6.0568hig 2258h2 = 417.46 kJ/kg
15.25%
35
The temperature inside a fumace is 320 °C and temperature of the outside is - 10 °C. What is the temperature difference in °R.
594
36
A diesel engine which takes in air at 1 bar, 26 °C has a compression ratio of 19. Calculate the operating clearance in percent.
5.55
37
What is the pressure at point A in the tank if h = 2 feet? (g = 32.3 ft/sec2, and p=1.94 slug/ft)
122 lbf/ft²
38
There are 18 kg of exhaust gas formed per kg of fuel oil burned in the combustion of diesoline CH. What is the excess air in percent?
15.53
39
Convert 750°R to °K.
416.33
40
A classroom that normally contains 40 people is to be air- conditioned with window air-conditioning units of 5 KW cooling capacity. A person at rest may be assumed to dissipate heat at a rate of about 360 KJ/hr. These are 10 light bulbs in the room, each with a rating of 100 watts. The rate of heat transfer to the classroom through the temperature of 21 deg C, determine the number of window air-conditioning units required.
2 units
41
An insulated rigid tank initially contains 1.5 lb of helium at 80°F and 50 psia. A paddle wheel with power rating of 0.02 hp is operated within the tank for 30 min. Determine the final temperature.
179.22 °F
42
Air Is compressed adiabatically from 30°C to 100°C. If mass of air being compressed is 5 kg. And the change in entropy
0
43
Two Carnot heat engine operate in series between a source at 527°C and sink at 17°C. The first engine rejects 400 KJ to the second engine. If both engines have the same efficiency. Calculate the source the temperature for the second.
208.66
44
A refrigeration system operates on an ideal vapor compression using R-12 with a saturated temperature -1.1 °C (h,=351.003 kJ/kg) and a liquid R-12 temperature at 30 °C (h=288.54 kJ/kg). What is the mass flow rate of the refrigerant if the refrigerating capacity is 1.776 TR in kg/s?
0.10 kg/s
45
30 kg/s of dry air enters an adiabatic drying chamber at 88°C and with a humidity ratio of 0.16 kg/kg d.a. The exhaust air leaves the drying chamber at 40°C. What is the rate of water removal in the drying chamber? At 40°C, Psat. = 7.375 kPa; at 88°C, hg = 2656.9 KJ/kg
0.58 kg/s
46
𝗧𝗵𝗲 𝗹𝗼𝘄𝗲𝗿 𝗵𝗮𝗹𝗳 𝗼𝗳 𝗮 𝟭𝟬𝗺 𝗵𝗶𝗴𝗵 𝗰𝘆𝗹𝗶𝗻𝗱𝗲𝗿 𝗰𝗼𝗻𝘁𝗮𝗶𝗻𝗲𝗿 is filled with water and the upper half with oil that has SG = 0.85. Det the pressure difference between the top and bottom of the cylinder.
90.74 kPa
47
A 𝟐𝟎𝟎𝐦𝐦 𝐱 𝟐𝟓𝟎𝐦𝐦, 𝟒-𝐬𝐭𝐫𝐨𝐤𝐞 diesel engine has a brake power of 150 kW. The mechanical effeciency is 80%. If two of the cylinders were accidentally cut off, what will be the new friction power?
37.5 kW
48
100 g of water are mixed with 150 g of alcohol (density 790 kg/m3). What is the specific volume of the resulting mixtures, assuming that the fluids mixed completely?
1.16 x 10‐³ cu.m/kg
49
Carbon dioxide flows through a nozzle with a speed of 00 m/s. Compute the dynamic temperature.
94.56°K
50
A pressure cooker operates by cooking food at a higher pressure and temperature than is possible at atmospheric conditions. Steam is contained in the sealed pot, with vent hole in the middle of the cover, allowing steam to escape. The pressure is regulated by covering the vent hole with a small weight, which is displaced slightly by escaping steam. Atmospheric pressure is 100 kPa, the vent hole area is 7-mm2, and the pressure inside should be 250 kPa. What is the mass of the weight?
0.107 kg
51
The charge in a Diesel engine consists of 18.34 grams of fuel, with lower heating value of 42,571 KJ/kg, and 409 grams of fuel and products of combustion. At the beginning of compression, t1 = 60°C. Let r = 14. For constant c = 1.11 KJ/kg-C, what should be the cut-off ratio in the corresponding ideal cycle?
2.97
52
An inventor claims to have developed a refrigeration unit which maintains the refrigerated space at 20 °F within a room where the temperature is 80 °F. He claims a coefficient of performance of at least 7.50. How do you evaluate his claim?
Possible
53
A two stages air compressor has an intercooler pressure of 4 kg/cm2. What is the discharge pressure if suction pressure is 1 kg/cm2?
16 kg/cm²
54
A heat source ay 800 deg K losses 2000 of heat to a sink at 500 deg K. Determine the entropy generated during this process.
1.5 Kj/K
55
The pressure of an automobile tire is measured to be 200 kpa(gage) before the trip and 220 kpa(gage) after the trip at a location where the atmospheric pressure is 90 kpa. If the temperature of the air in the tire before the trip is 25 deg C, the air temperature after the trip is:
45.6°C
56
A thermal power plant has a heat rate of 11,363 Btu/KW- hr. Find the thermal efficiency of the plant.
30%
57
A fluid in a cylinder is at a pressure of 700KN/m2. It is expanded at a constant pressure from a volume of 0.28m3 to a volume of 1.68m3. Determine the work done.
980 kj
58
Compute the humidity ratio of air at 70% relative humidity and 25°C when the barometric pressure is 101.325 kPa from steam tables. Pa = 3.169 Kpa
0.014 kg water vapor/kg dry air
59
A waste heat recovery boiler produces 4.8 Mpa (dry saturated) steam from 104°C feedwater. The boiler receives energy from 7 kg/sec of 954°C dry air. After passing through a waste heat boiler, the temperature of the air has been reduce to 343°C. How much steam in kg is produced per second? Note: At 4.80 Mpa dry saturated, h = 2796.
1.81
60
An iron block weights 7 newtons and has a volume of 200 cubic centimeters. What is the density of the block?
3565 kg/m3
61
A 26-hp pump delivers 475 gpm of gasoline (y = 42.5 lb/ft3) at 20°C with 78% efficiency. What pressure rise result across the pump?
73.2 psi
62
A centrifugal pump with a 3 ft. Impeller diameter operates at 800 rpm. If the speed is to be increased to 1200 rpm, determine the impeller diameter that should be used so that the same shaft input power would be required.
2.35 ft
63
A boiler installed where the atmospheric pressure is 752 mm Hg has a pressure of 12 kg/cm2. Find the absolute
1277.05 kPaa
64
How many cubic meters is 100 gallons of liquid?
0.3785
65
Compute the humidity ratio of air at 70% relative humidity and 25°C when the barometric pressure is 101.325 kpa. From steam tables: Psat at 34 °C 3.169 kPa
0.014 kg water vapor/kg dry air
66
An air compressor has a power of 40 kW at 4% clearance. If clearance will increase to 7%, what is
40 kW
67
A heat engine has a thermal efficiency of 50%. How much power does the engine produce when heat is transferred at a rate of 109 kJ/hr?
139 MW
68
Air enters a diffuser with a velocity of 200 m/s. Determine the velocity of sound if air temperature is 30°C.
349 m/s
69
A refrigeration system consumed 28,800 kw-hr per month of energy. There are 20% of energy is lost due to cooling system of compressor and motor efficiency is 90%. If COP of the system is 6, find the tons of refrigeration of the system.
49.15 TR
70
A double suction centrifugal pumps delivers 20 ft/sec of water at a head of 12 m and running at 650 rpm. What is the specific speed of the pump?
2770.73 rpm
71
Determine the average velocity through a circular section in which the velocity distribution is given as v = Vmax(1-(r/r)²) The distribution is symmetric with respect to the longitudinal axis, r = 0. r. is the outer radius, Vmax is the velocity along the longitude axis.
Vmax/2
72
A radial-flow pump operating at maximum efficiency at a specific speed of 2500 is to deliver 260 gpm against a head of 129 ft at a rotative speed of 2100 rpm. Find the required number of stages (i.e., impellers).
4 stages
73
A thermal power has a net power 10 MW. The backwork ratio of the plant is 0.005. Determine the compressor work.
50.25 KW
74
Consider a large furnace that can supply heat at a temperature of 2000 deg R at a steady rate of 3000 Btu/s. Determine the energy. Assume an environment temperature of 77 deg F.
2315.19 KW
75
Water flowing at the rate of 10 m/s from an orifice at bottorn of a reservoir. Find the pressure at the bottom of reservoir.
50 kpag
76
A hydro-electric plant having 30 sq. km reservoir area and 100 m head is used to generate power. The energy utilized by the consumers whose load is connected to the power plant during a five-hour period is 13.5 x 10° kwh. The overall generation efficiency is 75%. Find the fall in the height of water in the reservoir after the 5-hour period.
2.20 m
77
The upper plate is fixed, while the lower plate moves in the positive x direction at 0.5 m/s. The plate separation is 0.001 m, the fluid viscosity is 0.7cp, and the velocity profile is linear. Calculate the shear stress, ty, in the moving fluid.
0.35 Pa
78
A steam turbine with 85% stage efficiency receives steam at 7 MPa and 550°C and exhausts as 20 kPa. Determine the turbine work.At 7 MPa and 550°C: h1=3530.9 kJ/kg s1 = 6.9486 At 20 kPa (0.020 MPa): Sf = 0.8320 hf= 251.40 sfg = 7.0766 hfg = 2358.3
1,054.95 kJ/kg
79
A rigid tank contains 5 kg of an ideal gas at 4 atm and 40 deg C. Now a valve is opened, and half of mass of the gas is allowed to escape. If the final pressure in the tank is 1.5 atm, the final temperature in the tank is:
-38°C
80
Determine the atmospheric pressure at a location where the barometric reading is 740mm hg and the gravitational acceleration is g = 9.81m/s2. Assume the temperature of mercury to be 10°C, at which its density is 13,570 kg/m3.
98.5 kpa
81
The percent rating of water tube boiler is 200 %, factor of evaporation is 1.10, and heating surface is 400 ft2. Determine the rate of evaporation, in kg/hr.
1138
82
An air compressor takes in 9 kg/min of air at 98 kPa; V1 = 0.125 m3/kg and discharges it at 680 kPa; V2 = 0.03 m3/kg. The increase of internal energy is 93 kJ/kg and the work done on air is 163 kJ/kg; the change in potential and kinetic energy are neglected. How much heat is transferred per kg of air?
61.85 kJ/kg
83
How many days would an inventory of 1000 bbl of fuel oil with a relative density of 0.90 at an evaporating temperature of 35°C is consumed if used in a 9 MW diesel engine with a full load brake thermal efficiency of 34% at rated load.
2.5 days
84
The gain of entropy during isothermal nonflow process of 5 lb of air at 60°F is 0.462 Btu/R. Find the V1/V2
0.259
85
Re-circulated air of 10 kg/s with 53 K/ kg dry air enthalpy and outside air of 4 kg/s with 90 KJ/kg dry air enthalpy enters the conditioning unit. Determine the air conditioning capacity of air conditioning apparatus if supply enthalpy to conditioned space is 42 dry air.
302 KW
86
Compute the maximum length of the discharge pipe installed on the outlet of a pressure-relief device in feet for internal pipe diameter of 0.5 inch and rated discharge capacity is 8 Ib/min of air.The rated pressure of relief valve is 16 psig.
0.286 ft
87
An Ideal gas at 0.80 atmospheres and 87°C 0.450 liter. How many moles are In the sample? (R = 0.0821 liter-atm/mole-K)
0.0122
88
Determine the pressure exerted on a diver at 30 m below the free surface of the sea. Assume a barometric pressure of 101 kPa and the specific gravity of sea water is 1.03.
404
89
Determine the quality of steam in a vessel containing 2 kg of saturated vapor and 8 kg of saturated liquid.
20%
90
Assume 8 ft³ of air at 100 psi, 100°F are compressed isothermally to a volume of 2 ft. For each of end states the process, find the bulk modulus.
400 and 100 psi
91
A mixture of 0.4 lbm of helium and 0.2 lbm of oxygen is compressed polytropically from 14.7 psia and 60°F to 60 psia according to n = 1.4. Determine the Polytropic work.
139 BTU
92
A tank contains 20 kg of air at 200 kPa (gage) and 23°C. During heating process the temperature of air rises. For safety purposes a technician installed a relief-type valve so that pressure of air inside the tank never exceeds 260 kPa (gage). At what air temperature the relief valve will start releasing air?
82 C
93
The suction pressure of a pump reads 3 in. of mercury vacuum and discharge pressure reads 140 psi is use to deliver 120 gpm of water with specific volume of 0.0163 ft/lb. Determine the pump work.
7.4 KW
94
An Otto cycle has a heat rejected of 300 kJ and work of 700 kJ. Find the cycle efficiency.
70
95
Calculate the use factor of a power plant if the capacity factor is 35% and it operates 8000 hrs during the year?
38.325%
96
Indicator test that shows that the area of card is 33 mm2, length of card is 50 mm. If spring scale is 1.72 MPa per mm, determine the MEP:
1.135 Mpa
97
A Diesel cycle has an initial temperature of 22 °C. If the cut-off ratio is 2.50 and compression ratio is 12, find the maximum cycle temperature.
1753.44
98
The work done on air is 10.86 kJ/kg, determine the compressor power if it is receiving 272 kg/min if air.
66 HP
99
During a reversible process there are abstracted 317 KJ/s from 1.134 kg/s of a certain gas while the temperature remains constant at 26.7°C. For this gas Cp = 2.232 and c = 1.713 kJ/kg.K. The initial pressure is 586 KPA. Determine the final volume flow rate.
0.05
100
A surface tension force, of water in air is approximately 0.00518 lb/ft. If the atmospheric pressure is 14.7 psia, what is the pressure inside a droplet 0.01" in diameter?
14.87 psia