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