VIP 5 - Very Important Problems Flashcards
Ten kilograms per seconds of steam enter the turbine with an enthalpy of 3200 kJ/kg and enter the condenser with an enthalpy of 2500 kJ/kg in a Rankine cycle. If the turbine efficiency is 80% and the generator efficiency is 90%, determine the power plant output.
A. 4320 kW
B. 3213 kW
C. 4056 kW
D. 5040 kW
D. 5040 kW
The condenser of a reheat power plant rejects heat at the rate of 600 kW. The mass flow rate of cooling water is 5 kg/s and the inlet cooling water temperature is 35°C
Calculate the condenser cooling water exit temperature.
A. 43.45°C
B. 53.45°C
C. 63.66°C
D. 74.34°C
C. 63.66°C
Steam leaves an industrial boiler at 827.4 ka and 171.6°C. A portion of the steam is passed through a throttling calorimeter and is exhausted to the atmosphere when the calorimeter pressure is 101.4 ka. How much moisture does the steam leaving the boiler contain if the temperature of the steam at the calorimeter is 115.69C?At 827.4 kPa (171.6°C)h = 727.25 kJ/kghs=2043.2 kJ/kg
From table 3: At 101.4 kPa and 115.6°C h2= 2707.6 kJ/kg
A. 3.78%
B. 3.08%
C. 4.56%
D. 2.34%
B. 3.08%
An impulse wheel at best produces 125 hp under a head of 210 ft. By what percent should the speed be increased for a
290-ft head?
A. 82.5%
B. 17.5%
C. 72.41%
D. 27.59%
B. 17.5%
A logging firm in Isabella operates a Diesel Electric Plant to supply its electric energy requirements. During a 24 hour period, the plant consumed 250 gallons of fuel at 80°F and produced 2900 kW-hrs. Industrial fuel used is 30°API and was purchased at P30.00/li at 60°F. Determine the overall thermal efficiency of the plant.
A. 26.08%
B. 34.23%
C. 28.00%
D. 18.46%
C. 28.00%
The following coal has the following ultimate analysis by
weight: C = 70.5%
H2 = 4.5%
O2 = 6.0%
N = 1.0%
S = 3.0%
Ash = 11%
Moisture = 4%
A stocker fired boiler of 195,000 kg/hr steaming capacity uses this coal as fuel. Calculate volume of air in m/hr with air at 609F and 14.7 psia pressure if boiler efficiency is 70% and FE = 1.10.
A. 234,019 m/hr
C. 213,830 m/hr
B. 215,830 m’/hr
D. 264,830 m°/hr
A. 234,019 m/hr
23.5 kg of steam per second at 5 MPa and 400°C Is produced by a steam generator. The feedwater enters the economizer at 145°C and leaves at 205°C. The steam leaves the boiler drum with a quality of 98%. The unit consumes 3 kg of coal per second as received having a heating value of 25,102 kJ/kg. What would be the overall efficiency of the unit in percent?Steam properties:
At 5 MPa and 400°C: h = 3195.7 kJ/kg At 5 MPa: he
= 1154.23, ho = 1640.1
At 205°C: hr = 875.04At 145°C: hr = 610.63
A. 65.72
B. 80.67
C. 88.28
D. 78.82
B. 80.67
In a Rankine cycle steam enters the turbines at 2.5 MPa
(enthalpies and entropies given) and
condenser of
50 kPa (properties given), what is the thermal efficiency of the cycle?At 2.5 MPa:
h, = 2803.1 kJ/kg s, = 6.2575 At
50 kPa:s, = 1.0910
§6 = 6.5029
he
= 340.49 he = 2305.4 V = 0.0010300
A. 25.55%
B.45.23%
C. 34.23%
D. 12.34%
A. 25.55%
A thermal power plant generates 5 MW and the heat generated by fuel is 13,000 kJ/sec. If thermal efficiency is 36.15%, find the power needed for the auxiliaries.
A. 310 kW
B. 300 kW
C. 400 kW
D. 350 kW
B. 300 kW
A superheat steam Rankine cycle has turbine inlet conditions of 17.5 MP and 530°C expands in a turbine to
0.007 MPa. The turbine and pump polytropic efficiencies are 0.85 and 0.75 respectively, pressure losses between pump and turbine inlet are 1.5 MPa. What should be the pump work in k/kg?
A. 17.34
B. 27.32
C. 25.32
D. 47.33
C. 25.32
In an open feedwater heater for a steam plant, saturated steam at 7 bar is mixed with subcooled liguid at 7 bar and 25°C. Just enough steam is supplied to ensure that the mixed steam leaving the heater will be saturated liquid at 7 bar when heater efficiency is 95%. Calculate the mass flow rate of subcooled liquid if steam flow rate is 0.865 kg/s.
Steam properties are:At 7bar, saturated vapor:h, = 2763.5 kJ/kg
At 7 bar and 25°C:hr = 105.5 kJ/kg
At 7 bar, saturated liquid: hr 697.22 kJ/kg
A. 2.725 kg/s
B. 3.356 kg/s
C. 2.869 kg/s
D. 3.948 kg/s
C. 2.869 kg/s
Steam expands adiabatically in a turbine from 2000 kPa,
400°C to 400 ka, 250°C. What is the effectiveness of the process in percent assuming an atmospheric pressure of 18°C. Neglect changes in kinetic and potential energy.
Steam properties are:At 2000 kPa and 400°C:h =
3247.6 kJ/kg s = 7.1271 kJ/kg-K At 400 kPa and 250°C:h
= 2964.2 kJ/kgs = 7.3789 kJ/kg-K
A. 82
B. 84
C. 79.60
D. 79.46
D. 79.46
A heat exchanger was installed purposely to cool 0.50 kg of
gas per second. Molecular weight is 32 and k = 1.32. The
gas is cooled from 150°C to 80°C. Water is available at the rate of 0.30 kg/s and at a temperature of 15°C. Calculate the exit temperature of the water in °C.
A. 44.86
C. 46.45
B. 42.86
D. 40.34
A. 44.86
A 350 mm x 450 mm steam engine running at 280 pm 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):h, = 2849.6
S1 = 6.4423
At 0.1 MPa:s, = 1.3026 h, = 417.46 St= 6.0568hro
= 2258 h. = 417.46 kJ/kg
A. 23.34%
B. 15.25%
C. 14.16%
D. 27.34%
B. 15.25%
A steam turbine receives 5000 kg/hr of steam at 5 MPa and
400°C and velocity of 30 m/sec. It leaves the turbine at
0.006 MPa and 85% quality and velocity of 15 m/sec.
Radiation loss is 10,000 kJ/hr. Find the kW developed. At 5
MPa and 400°C:
h, = 3195.7 kJ/kgs = 6.6459 At
0.006 MPa:h, = 151.53 hi = 2415.9
A. 1273.29
C. 1373.60
B. 2173.29
D. 7231.29
C. 1373.60
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:
= 3530.9 kJ/kgs, = 6.9486
hi
Sr = 0.8320h, = 251.40s. = 7.0766 hg = 2358.3
At 20 ka (0.020 MPa):
A. 1,117 kJ/kg
C. 1,123.34 kJ/kg
B. 1,132 kJ/kg
D. 1,054.95 kJ/kg
D. 1,054.95 kJ/kg
A steam turbine with 80% stage efficiency receives steam at 7 MPa and 550°C and exhausts as
20 kPa. Determine the quality at exhaust.At 7 MPa and 550°C: hi
= 3530.9 kJ/kgs: = 6.9486At 20 kPa (0.020 MPa):sr = 0.8320 h, = 251.40
A. 96.96%
B. 76.34%
C. 82.34%
D. 91.69%
A. 96.96%
. A 18,000 KW geothermal plant has a generator efficiency and turbine efficiency of 90% and 80%,respectively. If the quality after throttling is 20% and each well discharges 400,000 kg/hr,determine the number of wells are required
to produce if the change of enthalpy at entrance and exit of turbine is 500 kJ/kg.
A. 4 wells
C. 6 wells
B. 2 wells
D. 8 wells
B. 2 wells
- A llguid dominated geothermal plant with a single flash separator receives water at 204°C. The separator pressure
teas 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 = 2779.6
So =
6.5729At 0.034 MPa:h, = 301.40
h6 = 2328.8 St
0.9793 St = 6.7463
A. 2,933
B. 2,100
C. 1,860
D. 2,444
A. 2,933
An engine-generator rated 9000 kVA at 80% power factor, 3 phase, 4160 V has an efficiency of
90%.
overall plant efficiency is 28%, what is the heat generated by the fuel?
A. 18,800 kW
B. 28,800 kW
C. 7500 kW
D. 25,714 KW
D. 25,714 KW
The indicated thermal efficiency of a two stroke diesel engine is 60%. If friction power is 15% of heat generated, determine the brake thermal efficiency of the engine.
A. 43%
B. 45%
C. 36%
D. 37%
B. 45%
A 305 mm x 457 mm four stroke single acting diesel engine is rated at 150 kW at 260 pm. Fuel consumption at rated load is 0.56 kg/kW-hr with a heating value of 43,912 kJ/kg.
Calculate brake thermal efficiency.
A. 10.53 %
C. 14.64 %
B. 27.45 %
D. 18.23 %
C. 14.64 %
Ten kilograms per second of steam enter the turbine with an enthalpy of 3200 kJ/kg and enter the condenser with an enthalpy of 2500 kJ/kg in a Rankine cycle. If the turbine efficiency is 80% and the generator efficiency is 90%, determine the power plant output.
A. 4320 kW
C. 3213 KW
B. 4056KW
D. 5040 Kw
D. 5040 Kw
The condenser of a reheat power plant rejects heat at the rate of 600 kW. The mass flow rate of cooling water is 5 kg/s and the inlet cooling water temperature is 35 °C
Calculate the condenser cooling water exit temperature.
A. 43.45 °C
C. 53.45 °C
B. 63.66 °C
D. 74.34 °C
B. 63.66 °C
A heat engine has a thermal efficiency of 50%. How much power does the engine produce when heat is transferred at a rate of 10° k/hr?
A. 50 MW
B. 139 MW
C. 75 MW
D. 147 MW
B. 139 MW
A 3500 KW plant has a utilization factor of 71% and a load factor 39.6%. What is the average load on the plant?
A. 9840.6 KW
C. 24850 KW
B. 13860 KW
D. 19521.2 KW
9840.6 KW
A 95 MW power plant factor has an average load of 35000 kW and a load factor of 65%. Find the reserve over peak in MW?
A. 21.15
B. 41.15
C. 32.41
D.58.75
B. 41.15
A power plant is said to have a use factor of 50% and capacity factor of 44%. How many hours did it operated during this year?
A. 6600.32
C. 7708.8
B. 8600.32
D. 5658.23
C. 7708.8
A plant w/ an installed capacity of 30,000 KW has a utilization factor of 83% and a capacity factor of 56%. Find the load factor.
A. 66.47%
B. 68.47%
C. 67.47%
D. 69.47%
C. 67.47%
An engine has a brake thermal efficiency of 26%, It uses 2 gallons of gasoline per hour. Gas has a heating value of
20500 BTU/Ibm and specific gravity of .80. Find: Power output of engine in KW.
A. 18.85 KW
B. 20.85 KW
C. 19.85 KW
D. 21.85 KW
B. 20.85 KW
The heating value supplied in a boiler Is 41000 kJ/kg if the factor of evaporation is 10 kg steam /kg fuel. What is the efficiency of the boiler?
A. 60.55%
C. 53.08%
B. 78.05%
D. 54.97%
C. 53.08%
What is the water rate in kg/hr of an auxiliary boiler which produces steam at .80 MP and 98% dry from feedwater at
43°C. The fuel calorific value is equivalent to that of 1.2 metric tons/day. Assume an efficiency of 70%
A. 580
B. 700
C. 615
D. 480
C. 615
Two boiler of equal steaming capacity generate steam to a common header of 15MPa pressure. One boiler produces wet steam. If the mixture is saturated steam, find the quality of the steam in the second boiler @ 1.5 MPa & 250°C
h = 2925 kJ/kg
@ 1.5 MPa, h, = 845 kJ/ kg
h6 = 1947 KJ/kg
A. 0.940
C. 0.9317
B. 0.978
D. 0.985
C. 0.9317
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
A. 188.066 KW
C. 980.66 KW
B. 1880.66 KW
D. 900 KW
A. 188.066 KW
A small steam turbine generator power plant of 5200 MW
capacity has a full load steam rate of 6.0 kg/ KW-hr. No load steam consumption may be taken as 10% of full load steam consumption. At 60% load, calculate the hourly steam consumption of this unit.
A. 20,500 kg/hr
B. 25,000 kg/hr
C. 18,500 kg/hr
D. 19,968 kg/hr
D. 19,968 kg/hr
The enthalpy of refrigerant is 359 kJ/kg at the compressor entrance and 381 kJ/kg at the compressor exit. The rate of refrigerant flow is 62 kg/min. The heat loss from the compressor is 12% of the work input. Determine the power input in KW.
A. 25.83
B. 24.65
C. 20.30
D. 25.83
A. 25.83
A six cylinder diesel engine when tested in the lab at 2000
rpm produces a net brake force of 204 N with all its 6 cylinder firing on ly but 163.6 N when on cylinder was cut-off. What is the mechanical efficiency of the diesel engine if the break arm length is .75m
A. 82.5%
B. 84.14%
C. 88.5%
D. 91%
B. 84.14%
The surface level of water in 92.5m that of a hydraulic turbine. The efficiency (le. , the portion of available potential energy the turbine uses) is 90% Determine the volume flow rate water required need to produce 100,000 MW.
A. 117.5 m¾
B. 124.5 m™s
C. 122.5 m°
D. 112,500 m
C. 122.5 m
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.
A. 3 days
B. 1.8 days
C. 2.5 days
D. 2 days
C. 2.5 days
In a geothermal power plant hot ground water from a hot spring used to power heat engine. If the ground water is at 95°C estimate the max power output if the mass flow rate of ground water is 0.25 kg/s atmosphere is at 20°C
A. 14.0 KW
C. 15.0 KW
B. 16 KW
D. 12.8 KW
B. 16 KW
A hydraulic turbine which has a diameter of 66 in. a speed of 350 rpm, coefficient of velocity of 0.98, peripheral speed factor of 0.45, generator efficiency of 90% and jet diameter form nozzle of 6 in determine the power input in HP.
A. 2862
C. 3809
B. 4933
D. 5366
C. 3809
What is the thermal efficiency of an air standard Brayton cycle if the air enters and leaves the gas turbine at 1000°K
and 500°K, respectively?
A. 40.74%
B. 50.00%
C. 45%
D.54.86%
B. 50.00%
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 kh 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
A. 573
C. 504
B. 1050
D. 350
A. 573
A 500 HP internal combustion engine has a mean effective brake pressure of 551.5 Kpa at full-load. What is the mean effective indicated pressure if the mechanical efficiency of engine is 85%
A. 468.77 kPa
C. 648.823 kPa
B. 373 kPa
D. 588.235 kPa
C. 648.823 kPa
The enthalpy of ground water in a 19 MW geothermal power plant is 1000 KJ/kg, if the quality after throttling is 28% and overall plant efficiency is 20%. What is the mass flow rate of steam entering the turbine?
A. 27kg/s
C. 76kg/s
B. 18kg/s
D. 34kg/s
A. 27kg/s
Calculate the power that can be developed from a hydro electric power plant having ff. data:
Catchment’s area = 90km?
Average annual rain fall = 120cm
Run-off = 85%
Available head = 350 m
Over all Station efficiency = 75%
A. 8.75 MW
B. 9.99 MW
C. 6.8 M
D. 7.5 MW
D. 7.5 MW
In a double acting 2-stroke cycle engine, 8 cylinder, the diameter of the cylinder is 700 mm, and the stroke is 1350 mm and the piston rod diameter is 250 mm. Running at 108 rpm, indicated mean effective pressure above and below the piston are 5.86 and 4.90 Bar respectively, calculate the brake power of the engine in KW if the mechanical efficiency is 80%.
A. 5060 KW
B. 6030 KW
C. 7330 KW
D. 7540 KW
B. 6030 KW
A central power plant, whether the energy source is nuclear or fossil fuel, is a heat engine operating between the temperature of the reactor or furace and the usually represented by a river or other body of water. Consider a modern nuclear power plant generating 750.000 KW for which the reactor temperature is 586° and a river is available with a water temperature of 293°K. What is the minimum amount of the heat must be discarded to the river?
A. 500,000 KW
C. 750,000 KW
B. 1,000,000 KW
D. 1,500,000 KW
C. 750,000 KW
An automotive engine uses 10.20 L of gas/hr. The density of gasoline is 67 kg/m°. The engine uses 13.20 kg of air per kg of fuel. Air is supplied at 101 kPa, 30°C. Determine the volume rate of air flow in m*/ hr, R of air is 287.08 J/kg°K
A. 6.789
C. 7.769
B. 8.769
D. 9.769
C. 7.769
The power output of a compression ignition engine is 2400 kW when it uses 545 kg of fuel per hour. The higher the heating value of the fuel is 43920 kJ/kg. The frictional power of the engine is 260 kW. Find the indicated thermal efficiency,
A. 36.1%
B. 40%
C. 37.1%
D. 4.5
Answer: B
B. 40%