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QUIZ 4

Total questions: 50

Worksheet time: 25mins

Name
Class
Date
1.

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

a)

171.5

b)

173.2

c)

175

d)

174.4

2.

A superheat steam Rankine Cycle has a turbine inlet conditions of 17.5 MPa and 530°C expand in a turbine to 0.007 MPa. The turbine and pump polytropic efficiencies are 0.9 and 0.7 MPa, respectively, pressure losses between the pump and the turbine inlet are 1.5 MPa. What should be the pump work in kJ/kg if the specific volume in the pump inlet is 0.001 m^3/kg?

a)

17.3

b)

37.3

c)

27.3

d)

47.3

3.

Steam flows into a turbine at the rate of 10 kg/s and 10 kW of heat are lost from the turbine. Ignoring elevation and kinetic energy effects, calculate the power output from the turbine. Given: h1 = 2739 and h2 = 2300.5 kJ/kg.

a)

4605 kW

b)

4375 kW

c)

4973 kW

d)

4395 kW

4.

A steam power plant has a turbine work of 654 kJ/kg and the pump work is 3 kJ/kg. If the mass flow rate is 18 kg/s, compute the power produced by the plant.

a)

11772 kW

b)

11718 kW

c)

11826 kW

d)

10440 kW

5.

The energy input to the turbine is 2800 kJ/kg and the energy at the exit is 1400 kJ/kg, efficiency of the engine is 75% and power output at full load is 6000 kW. What is the turbine flow rate at full load in kg/kW-hr?

a)

3.43

b)

5.97

c)

4.33

d)

9.23

6.

A Carnot engine operates using 527°C energy reservoir and a 27°C energy reservoir. The thermodynamic efficiency of this engine is?

a)

50%

b)

73.6%

c)

62.5%

d)

103%

7.

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 50 MW, what is the mass flow rate of the well-water in kg/s?

Note: At 204°C, hf = 870.51 kJ/kg

At 1.04 MPa, hf = 770.38, hfg = 2009.2, hg = 2779.6, sg = 6.5729

At 0.034 MPa, hf = 301.40, hfg = 2328.8, sf = 0.9793, sfg = 6.7463

a)

2871

b)

186

c)

2100

d)

2444

8.

A crack in the earth through which the geothermal substances pass.

a)

Magma

b)

Fumarole

c)

Steam Vent

d)

Geyser

9.

This type of geothermal plant uses dry steam directly to drive the turbine.

a)

Dry Geothermal Power Plant

b)

Single Flash Geothermal Power Plant

c)

Double Flash Geothermal Power Plant

d)

Binary Geothermal Power Plant

10.

An 18 MW geothermal plant has a generator efficiency and turbine efficiency of 90%. If the quality after throttling is 20% and each well discharges 400,000 kg/hr, compute the number of wells required to produce if the change of enthalpy at entrance and exit of turbine is 500 kJ/kg.

a)

4 wells

b)

5 wells

c)

2 wells

d)

3 wells

11.

In a geothermal power plant, the mass flow rate of ground water is 4000 kg/s and the quality after throttling is 20%. If the turbine power is 80 MW, compute the change in enthalpy of steam at the inlet and outlet of the turbine.

a)

120 kJ/kg

b)

100 kJ/kg

c)

200 kJ/kg

d)

150 kJ/kg

12.

In a gas turbine unit, air enters the combustion chamber at 550 kPa, 227°C and 43 m/s. The products of combustion leave the combustor at 511 kPa, 1004°C and 140 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?

a)

64

b)

80

c)

92

d)

102

13.

A power plant operates on an ideal Brayton cycle. The gas temperature at the turbine inlet is 1400 K (1515.2 kJ/kg) and the gas temperature at the turbine exit is 800 K (821.95 kJ/kg). Assume a turbine efficiency of 80%, what is the actual turbine work in kJ/kg?

a)

421.6

b)

554.6

c)

750.8

d)

522.4

14.

An ideal gas turbine operates with a pressure of 7.5 and temperature limits of 25°C and 1100°C. The energy input in the high temperature heat exchanger is 350 kW. Determine the air flow rate in kg/hr.

a)

698.9

b)

1494.6

c)

893.2

d)

945.6

15.

A 10 MW plant has a generator efficiency of 97%. If the mechanical loss is 1.25%, find the internal turbine output.

a)

10.44 MW

b)

8.25 MW

c)

12.92 MW

d)

9.58 MW

16.

Find the power which a 2.5 MW natural gas engine can developed at an altitude of 1981.2 m taking into consideration that the pressure change alone.

a)

1.957 MW

b)

1.795 MW

c)

1.597 MW

d)

1.579 MW

17.

A four cylinder, 4 stroke cycle, 20 cm x 25 cm x 550 rpm diesel engine has a mean effective pressure of 150 psi. Calculate the brake power in kW if engine efficiency is 88%.

a)

131 kW

b)

141 kW

c)

138 kW

d)

148 kW

18.

Gas is expanded in an engine cylinder following the law PVn = C where the value of n is 1.3. The initial pressure is 2550 kPa and the final pressure is 210 kPa. If the volume at the end of expansion is 0.75 m^3, calculate the volume at the beginning of expansion.

a)

0.099 m^3

b)

0.9019 m^3

c)

0.1099 m^3

d)

0.9910 m^3

19.

Compute the indicated mean effective pressure of an engine, in psi, having a brake mean effective pressure of 750 kPa and 80% mechanical efficiency.

a)

134 kPa

b)

136 kPa

c)

132 kPa

d)

139 kPa

20.

A six cylinder, four stroke diesel engine with 76 mm bore x 89 mm bore was run in the laboratory at 2000 rpm, when it was found that the engine torque was 153.5 N-m with all the cylinders firing but 123 N-m  when one cylinder was out. The engine consumed 12.2 kg of fuel per hour with a heating value of 54,120 kJ/kg air at 15.6°C. Determine the indicated power.

a)

32.1 kW

b)

23.3 kW

c)

38.4 kW

d)

48.3 kW

21.

If the available waterpower of a hydro station is 3,500 MW and the head of water is 280 meters, determine the water flow rate.

a)

1420 m^3/s

b)

875 m^3/s

c)

12500 m^3/s

d)

1275 m^3/s

22.

A Pelton wheel is to be designed to run at 300 rpm under an effective head of 150 m. The ratio of the nozzle diameter to the diameter of the pitch circle is 1/12. Assuming efficiency of 85%, what is the size of the wheel in meter. Assume speed ratio of 0.45.

a)

1.05

b)

1.55

c)

2.00

d)

2.86

23.

A reaction turbine develops 500 BHP. Flow through the turbine is 50 cfs. Water enters at 20 fps with a 100 ft pressure head. The elevation of the turbine above the tailwater level is 10 ft. Find the effective head.

a)

130 ft

b)

110 ft

c)

120.4 ft

d)

116 ft

24.

A river 60 m wide and 2 m deep flows at 2 m/s. A hydro-plant develops a pressure of 300 kPa gage just before the turbine, what maximum power in MW is possible?

a)

40

b)

56

c)

48

d)

72

25.

An existing hydroelectric power plant has the following data and design:

Gross head = 49.5 ft

Mean flow = 75 ft^3/s

Length of Penstock = 80 ft

Penstock diameter = 3.5 ft

Assumptions:

    Coefficient of friction = 0.020

    Turbine efficiency = 88%

    Generator efficiency = 92%

Find the net head in ft used by the turbine.

a)

42

b)

49

c)

44

d)

59

26.

An existing hydroelectric power plant has the following data and design:

Gross head = 49.5 ft

Mean flow = 75 ft^3/s

Length of Penstock = 80 ft

Penstock diameter = 3.5 ft

Assumptions:

    Coefficient of friction = 0.020

    Turbine efficiency = 88%

    Generator efficiency = 92%
Find the HP developed by the turbine.

a)

312

b)

367

c)

339

d)

667

27.

A water tube boiler has a capacity of 1000 kg/hr of steam. The factor of evaporation is 1.3, boiler rating is 200%, boiler efficiency is 65%, heating surface area is 0.91 m^2 per boiler HP, and the heating value of fuel is 18,400 kCal/kg. The total coal available in the bunker is 50,000 kg. Determine the no. of hrs to consume the available fuel.

a)

853.36 hrs

b)

979.46 hrs

c)

706.57 hrs

d)

100.7 hrs

28.

Find the rated boiler horsepower of a H.R.T. boiler 60 inches in diameter 16 ft long and having a seventy and 3 in O.D. tubes with 0.109 in. wall.

a)

95.10

b)

89.09

c)

78.10

d)

93.05

29.

What is the heating surface area of water tube boiler if the equivalent rated boiler horsepower is 200?

a)

182

b)

450

c)

206

d)

198

30.

What would be the percentage of the over-all efficiency of a steam generator obtaining an evaporation equivalent to 10.95 kg of water from and at 100°C per kg of coal containing 34,064 kJ/kg heating value?

a)

73%

b)

82%

c)

74%

d)

70%

31.

Two boilers have capacities of 200 kg/hr and 250 kg/hr. If 150,000 kg of coal are supplied to two boilers, how many days to consume the available fuel?

a)

13.89 days

b)

15.78 days

c)

17.87 days

d)

24 days

32.

What is the total pressure loss in a steam pipe 164 m long if the equivalent pressure loss is 50 kPa per 30 meters?

a)

473 kPa

b)

372 kPa

c)

173 kPa

d)

273 kPa

33.

A 150 grams of water at 75°C is heated at constant pressure. The water is completely vaporized. Find the heat added.

a)

543.52 kJ

b)

354.25 kJ

c)

816.66 kJ

d)

1135.66 kJ

34.

What is the required base area of the foundation to support an engine with specified speed of 1200 rpm and weight of 9000 kg. Assume bearing capacity of soil as 47.867 kPa. Use e = 0.11.

a)

5.57 m^2

b)

7.75 m^2

c)

8.87 m^2

d)

10.5 m^2

35.

What is the approximate weight of the engine if the weight of the machine foundation is 35,000 kg?

a)

5870 kg

b)

8750 kg

c)

5750 kg

d)

7850 kg

36.

What is the length of the machine foundation if the length of the bedplate is 4 m?

a)

4.8 m

b)

3.3 m

c)

5.5 m

d)

6.6 m

37.

If the volume of the foundation is 5 ft^3 and the density of the concrete is 160 lb/ft^3, what is the total weight?

a)

600 lbs

b)

800 lbs

c)

700 lbs

d)

900 lbs

38.

A machine foundation has a base dimension of 3m x 6m and has a weight equal to 4 times the weight of the engine. Find the maximum weight of the engine to be mounted if the safe bearing pressure of soil is 150 kPa.

a)

66324.33 kg

b)

44061.72 kg

c)

33264.58 kg

d)

55045.87 kg

39.

A nuclear power plant with a rating of 900 MW uses 5% enriched Uranium and has thermal efficiency of 30%. It is expected that 23% of the U235 contained in the original fuel will be consumed during the first year of continuous operation. Assuming that 10.3 x 10^6 kw-hr will be released from fissioning one-pound pure U235, determine the power output in one year.

a)

7.884 x 10^9 kw-hrs

b)

4.884 x 10^9 kw-hrs

c)

6.884 x 10^9 kw-hrs

d)

5.884 x 10^9 kw-hrs

40.

This is the simplest form of nuclear reactor. The feedwater from the power turbine goes directly into the reactor and picks up the heat from the fuel core.

a)

Pressurized Water reactor

b)

Boiling Water reactor

c)

Heavy Water reactor

d)

Gas-cooled power reactor

41.

A 24 DC electric motor draws a current of 20 amps. How much work in kJ does this motor produce over a 20-minute period of operation?

a)

97.42

b)

216.0

c)

129.6

d)

318.2

42.

It is a device which converts chemical energy to electrical energy.

a)

Thermoionic converter

b)

Fuel cell

c)

Solar cell

d)

Chemical converter

43.

A wind turbine operates on a wind velocity of 3 m/s. Determine the work generated for a 30% efficiency. The air density is 1.20 kg/m^3 and a turbine diameter of 6 meters.

a)

525.24

b)

458.04

c)

676.15

d)

334.78

44.

A hydraulic turbine receives water from a reservoir at an elevation of 200 m. What is the minimum water flow in GPM to produce a turbine output of 20 MW?

a)

145,985

b)

158,976

c)

149,567

d)

161,590

45.

Calculate the use factor of 135 MW plant with a load factor of 0.80 and 120 MW peak load. The operation is limited to 8500 hours a year.

a)

0.63

b)

0.80

c)

0.73

d)

0.86

46.

A power plant has a maximum demand of 55 MW with a load factor of 0.70 and capacity factor of 0.5. Estimate the plant capacity.

a)

79 MW

b)

75 MW

c)

80 MW

d)

77 MW

47.

Calculate the use factor of 150 MW plant with a load factor of 0.85 and 130 MW peak load. The operation is limited to 8590 hours a year.

a)

0.73

b)

0.81

c)

0.75

d)

0.85

48.

A 75 MW power plant has an average load of 35,000 kW and a load factor of 65%. Find the reserve over peak.

a)

21.15 MW

b)

25.38 MW

c)

23.41 MW

d)

18.75 MW

49.

What is the annual capacity factor of the plant if the annual energy produced in a 150 MW power plant is 500,000,000 kw-hrs?

a)

38.05%

b)

56.79%

c)

44.04%

d)

34.44%

50.

If the rated capacity of the system is 50,000 kW and the actual maximum demand is 35,000 kW, what is the utilization factor?

a)

0.60

b)

0.50

c)

0.70

d)

0.80