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Question 1 of 126
1. Question
What is the value of “x” in the following fractional equation?
x/3+3x/2=5/4
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Question 2 of 126
2. Question
Solve: 2[3a+2b(3−b)] −4a[5+9(2−a)]
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Question 3 of 126
3. Question
Solve the following equations: Solve this for r, 0.5=πr^2
Solve this for b^2, 4^2+b^2=6^2
Solve this x 25/5x=10
Solve as far as possible, (0.5x+2)^2
Solve 1/2÷1/4
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Question 4 of 126
4. Question
Trigonometry may be defined as:
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Question 5 of 126
5. Question
In a right angle triangle if the angle remains constant then the ratio of the sides and hypotenuse:
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Question 6 of 126
6. Question
An obtuse angle is the one that may measure, for example:
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Question 7 of 126
7. Question
The common and Naperian logarithms for the number 272 are:
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Question 8 of 126
8. Question
The antilog of 1.5323 is:
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Question 9 of 126
9. Question
One radian is:
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Question 10 of 126
10. Question
When measuring angles one radian is equal to?
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Question 11 of 126
11. Question
A tire which turned two and three quarter (2 ¾) revolutions has moved an equivalent of how many radians:
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Question 12 of 126
12. Question
What is the decimal equivalent of the following angle: 36°48’21”?
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Question 13 of 126
13. Question
What is the area of a triangle whose sides measure 3 km, 5 km and 6 km?
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Question 14 of 126
14. Question
Calculate the number of 7 cm diameter tubes that can be attached to a circular tube sheet of a heat exchanger that is 1.3 m in a diameter. Assume that 50% of the sheet area is used for spacing between the tubes.
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Question 15 of 126
15. Question
A horizontal boiler shell is 190 cm in diameter and 6 m long. It is filled with water to a depth of 150 cm. What is the volume of the empty space?
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Question 16 of 126
16. Question
A hexagon is machined from a circle having diameter of 8 cm. How much area needs to be removed from the circle?
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Question 17 of 126
17. Question
The Theorem of Pythagoras states: In a rightangle triangle, the square of hypotenuse equals the sum of the squares of the other two sides. The mathematical equation for this statement is:
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Question 18 of 126
18. Question
The feet of a 12 m ladder are 3 m away from a wall. Find the height of the wall where the top of the ladder touches.
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Question 19 of 126
19. Question
The tangent of 65° 10 minutes is:
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Question 20 of 126
20. Question
The top end of a 12 m long ladder rests on a vertical wall. The foot of the ladder is 3 m away from the base of the wall. Find the angle of inclination of the ladder.
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Question 21 of 126
21. Question
A coal conveyor belt, 60 m long, rises at an angle of 18° to the horizontal and then discharges into a bunker. How high above the starting point is the discharge?
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Question 22 of 126
22. Question
A system of several vectors can be replaced by a single vector which will have the same effect, or will be equivalent to the effect created by the several vectors. This single vector is called the?
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Question 23 of 126
23. Question
The equilibrant is equal in magnitude and opposite in direction to the resultant. The number of equilibrant/s in a system is?
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Question 24 of 126
24. Question
The resultant of a 4 kN force acting upward and a 3 kN force acting horizontally is:
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Question 25 of 126
25. Question
An aircraft flies at 20° North of West at 100 km/h. The east/west component of the velocity vector is:
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Question 26 of 126
26. Question
Two slings of equal length are slung from a horizontal beam and connected to a common shackle at their lower ends. The slings and beam form an equilateral triangle. The force (tension) in one sling when a load of 150 kN hangs from the common shackle is:
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Question 27 of 126
27. Question
A 6 tonne boiler feed pump is lifted by two slings that are 6m and 8m long respectively. The lifting points are 10m apart and the pump is lifted keeping the slings 90 degrees apart. Calculate the tension in each sling.
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Question 28 of 126
28. Question
A wooden crate is loaded and its mass is 45 kg. It is pulled horizontally by a force of 160 N which just sets it in motion. Determine the coefficient of friction.
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Question 29 of 126
29. Question
A wooden crate is loaded and its mass is 45 kg. A force of 150 N just sets it in motion. If this force is increased to 170 N, what will occur?
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Question 30 of 126
30. Question
To increase the frictional force, it is necessary to?
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Question 31 of 126
31. Question
When the coefficient of friction increases, and the force between the two surfaces remains constant, the friction force will?
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Question 32 of 126
32. Question
Calculate the force required to keep a 400N block moving at a constant speed on a horizontal surface if the coefficient of sliding friction is 0.5.
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Question 33 of 126
33. Question
Calculate the force between two surfaces if the coefficient of sliding friction is 0.03 and the friction force is 1800 N
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Question 34 of 126
34. Question
Find the coefficient of sliding friction if a 2200 N load is pulled along a floor by a rope making a 25 degree angle pulling downwards below the horizontal and the force on the rope is 175 N.
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Question 35 of 126
35. Question
Calculate the coefficient of friction if a 2.5 kN force at an angle of 23 degrees upwards is required to pull a 1.25 tonne block at a constant velocity.
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Question 36 of 126
36. Question
Energy a body acquires when in motion is referred to as?
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Question 37 of 126
37. Question
From the definition, the result of a force moving through a distance is
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Question 38 of 126
38. Question
In order to calculate the power in watts required to lift a 25 kg concrete block to a height of 40 m, you would also need to know the?
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Question 39 of 126
39. Question
The potential energy contained in a mass of 25 kg located 12 meters above ground level is:
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Question 40 of 126
40. Question
A 0.5 kg radio is dropped from a reactor at a height of 42 m. In kilometers per hour what will its velocity at impact will be?
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Question 41 of 126
41. Question
A steam turbine has an output of 50 MJ/minute. The power output, in kW is?
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Question 42 of 126
42. Question
The power required to drive a pump which has an output of 18 kW and an efficiency of 92% is:
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Question 43 of 126
43. Question
A train traveling at 40 km/h increases its velocity uniformly to 100 km/h in 4 seconds, while traveling the distance of 77.76 m. Its acceleration in m/s^2 is?
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Question 44 of 126
44. Question
In a speed test of a car, the machine traveling at 32 km/h increases its velocity for 4 seconds, while traveling the controlled distance of 85m. Its acceleration in m/s^2 is:
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Question 45 of 126
45. Question
A steam turbine is started from rest and brought to 2800 rpm in 12 minutes. Determine the angular acceleration of the shaft assuming the increase in velocity is constant
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Question 46 of 126
46. Question
The amount of deformation compared to the original size of a body, in applied mechanics, is referred to as:
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Question 47 of 126
47. Question
Factor of safety is always expressed:
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Question 48 of 126
48. Question
When subjecting a sample to an ultimate tensile test, the test is concluded at:
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Question 49 of 126
49. Question
A load exerted upon rivets will produce a stress type classed as:
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Question 50 of 126
50. Question
A steel rod 3 m long has a crosssectional area of 24 cm^2 and is stretched 0.015 cm by a load suspended from on end. Young’s modulus is 210 × 10^6 kPa. What is the stress produced by the load?
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Question 51 of 126
51. Question
A steel rod is 10 cm long and is subjected to a load of 12,000 N. While subjected to this load the length of the bar remains the same. Young’s modulus is 300 GPa. Determine the strain on the bar.
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Question 52 of 126
52. Question
A piling 16 cm diameter and 3 m long is subject to a compression force of 950 kN, which shortens the column 2 mm. Find the modulus of elasticity.
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Question 53 of 126
53. Question
A rod is 700 mm in diameter and has a tensile strength of 510 MPa. The rod supports a load of 185 kN. What is the factor of safety.
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Question 54 of 126
54. Question
A 3 cm diameter bolt is in double shear and carries a load of 35 kN. What is the shear stress in the bolt?
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Question 55 of 126
55. Question
A tie bar made of mild steel of tensile strength 500 MN/m^2 is to carry a tensile load of 12.5 kN, find its diameter allowing a factor of safety of 12.
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Question 56 of 126
56. Question
A simply supported beam 14 m long, carries a uniform load of 8 kN/m. The reaction force at each end is:
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Question 57 of 126
57. Question
Moment of a force is equal to force multiplied by:
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Question 58 of 126
58. Question
Reaction forces are those
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Question 59 of 126
59. Question
When the sum of the clockwise equals the anticlockwise moments then:
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Question 60 of 126
60. Question
A 5 m long cantilever beam carries a concentrated load of 50 kN at its free end. What is the bending moment at the wall?
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Question 61 of 126
61. Question
A simply supported beam 14 m long weighs 105 kg/meter length. It carries concentrated loads of 2.5, 3.5 and 4.5 tonnes at points 2m, 5m and 12m respectively. Find the reactions.
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Question 62 of 126
62. Question
A uniform beam is 10m long and has a mass of 1.5 tonnes. A mass of 2.5 tonnes is suspended at 3m from the support at one end. Determine how far from the same end a mass of 5.5 tonnes must be placed for the reactions to be equal.
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Question 63 of 126
63. Question
A uniform beam is 26m long and has a mass of 125kg/m resting on two supports. The beam overhangs the left support by 6m and the right support by 4m. A mass of 3 tonnes is suspended at 9m from the left end and a mass of 5 tonnes is suspended at the extreme right end. Determine the reactions.
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Question 64 of 126
64. Question
A force acting at one end of a 8 m lever is 6 m from the fulcrum. This force keeps a mass of 50 kg on the other end of the lever in equilibrium. The mechanical advantage of this system is?
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Question 65 of 126
65. Question
A screw jack has a single start thread and a pitch of 11 mm. The handle is 550 mm long and an effort of 250 N is applied. If the efficiency of the jack is 50% how many kilograms can it lift?
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Question 66 of 126
66. Question
A block and tackle system has 3 pulleys in each block with the effort applied downward. What is the percent of efficiency of the system if an effort of 310 N is required to lift a mass of 165 kg?
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Question 67 of 126
67. Question
A block and tackle system has 3 pulleys in each block with the effort applied upward. What is the percent of efficiency of the system if an effort of 310 N is required to lift a mass of 165 kg?
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Question 68 of 126
68. Question
A wheel and axle has a wheel of 65 cm diameter, and an axle of 7.5 cm diameter. Calculate the effort required to raise a mass of 65 kg.
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Question 69 of 126
69. Question
A load of 800 kN is lifted with a wheel and axle system. The machine has an efficiency of 92%. The wheel has a radius of 0.95m and the axle has a radius of 13.0 cm. How much effort must be applied to lift the load?
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Question 70 of 126
70. Question
Using an ideal machine, a 650 kg Ibeam is lifted to the top of a support 20 meters above the ground. If the VR of the machine is 9 how much effort must be applied to the machine?
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Question 71 of 126
71. Question
A 5000 litre oil tank contains 160 litres of water. If the water is drained off and replaced with oil of relative density 0.95, what is the change in the mass of the tank’s contents?
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Question 72 of 126
72. Question
A solid brass statue has a mass of 30,000 kg. What mass of steel would be required to exactly duplicate the structure?
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Question 73 of 126
73. Question
A bar with a diameter of 454 mm and a length of 1.5 m has a square hole with 157.8 mm sides through its axis. If the mass of the bar is 2,000 kg, find the relative density of this material.
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Question 74 of 126
74. Question
A pile of coal that forms a perfect cone shape has a base area of 26 m^2 and a height of 16 m. Assuming the pile has 25 percent of void space, and that the density of the coal given is 1400 kg/m^3, determine the mass of the coal in this pile.
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Question 75 of 126
75. Question
The ambient pressure measures 100.78 kPa in a beautiful Victoria, BC. The hot water boiler pressure gauge recorded a pressure of 65 kPa. Determine the absolute pressure under which this boiler is operating.
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Question 76 of 126
76. Question
A tank is 8 m long, 6 m wide and is filled to a depth of 7 m with gasoline. Density of the gasoline is 650 kg/m^3. Determine the pressure at the bottom of the tank.
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Question 77 of 126
77. Question
A storage tank is 6.5 m high and 1.75 meters in diameter. It is filled to within 1.5 meter from the top of the tank with an oil that has a relative density of 0.63. What is the pressure in kPa at a fitting located halfway up the side of the tank.
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Question 78 of 126
78. Question
How much will the mercury in a manometer be displaced if the pressure difference being measured is 200 kPa?
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Question 79 of 126
79. Question
What is the pressure in kPa at the back end of a boiler where the draft gauge indicates a reading of 200 mm of H_2O?
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Question 80 of 126
80. Question
A water pipeline has an inside diameter of 25 cm and delivers 3000 cubic meters per hour to a storage tank. What is the velocity of the water within the pipe?
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Question 81 of 126
81. Question
92° on the Fahrenheit scale is __________ ° on the Celsius scale:
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Question 82 of 126
82. Question
82° on the Celsius scale is equal to ___________ ° on the Fahrenheit scale
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Question 83 of 126
83. Question
When heat is supplied to a liquid in sufficient quantity to change the liquid to a vapour without changing the temperature, the heat supplied is known as:
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Question 84 of 126
84. Question
The amount of heat that must be removed from 1 kg of water at 0C in order to change it to 1 kg of ice at 0 C is:
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Question 85 of 126
85. Question
The lowest possible temperature on the Kelvin scale is:
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Question 86 of 126
86. Question
Heat is measured in units called:
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Question 87 of 126
87. Question
After vaporization at normal conditions (100 ° Celsius) specific volume of water increases approximately?
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Question 88 of 126
88. Question
Absolute zero temperature is the temperature at which?
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Question 89 of 126
89. Question
The amount of heat required to complete melt 25 kg of ice from a temperature of –10 C is approximately:
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Question 90 of 126
90. Question
Calculate the amount of heat required to raise the temperature of 0.8 kg of aluminum by 65°F:
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Question 91 of 126
91. Question
A piece of copper absorbs 60 kJ of heat while its temperature rises from 50°C to 70 °C. Calculate the mass of the copper:
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Question 92 of 126
92. Question
The change in length per unit length per degree rise in temperature is known as the:
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Question 93 of 126
93. Question
The coefficient of expansion for solids is______________.
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Question 94 of 126
94. Question
Expansion will result in an increase in a body’s surface as well as its ________________.
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Question 95 of 126
95. Question
A 125 m long mild steel pipe in a refinery conveys oil at a maximum temperature of 140°C. In the winter the plant is shut down, and the temperature of the pipeline drops to 20 °C. Calculate the amount of shrinkage of the pipe.
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Question 96 of 126
96. Question
If the temperature of a mild steel bar 10 m long is increased from 15°C to 55℃, the change in length will be?
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Question 97 of 126
97. Question
A section of pipe 15 m long, with an internal diameter of 3.5 cm, is filled with oil and is heated by 26°C. What additional volume has to be accommodated in the system to contain the oil overflow?
Given:
Coefficient of thermal expansion for steel: 12 × 106 per °C
Coefficient of volumetric expansion for oil: 0.8 x 103 per °C
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Question 98 of 126
98. Question
A brick furnace wall is 25cm thick and kept at 840°C. The outside surface of the wall is 160°C
a) What is the heat loss per hour from each m2 of wall surface, if the conductivity of the brick is 0.6 W/m°C?
b) Assuming the same heat loss, how thick must the wall be to reduce the outside surface temperature to 120°C?
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Question 99 of 126
99. Question
Steam at its boiling point with no water particles present is called _____________.
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Question 100 of 126
100. Question
The value in the steam tables corresponding to a temperature of 374.12°C and pressure of 22, 090 kPa is called the _________of steam.
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Question 101 of 126
101. Question
The quantity of saturated water contained in a unit quantity of steam is indicated by the _____________.
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Question 102 of 126
102. Question
Determine the total latent heat of 2.5 kg of steam at a pressure of 300 kPa absolute.
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Question 103 of 126
103. Question
What is the condition of 2000kpa steam with 2850 kJ/kg heat in it?
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Question 104 of 126
104. Question
What is the specific volume of dry saturated steam at 275 kPa?
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Question 105 of 126
105. Question
1 kg of saturated steam at 300 kPa absolute has a dryness fraction of 95%. Calculate the total heat content
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Question 106 of 126
106. Question
The amount of heat required to convert 5 kg of water at 60°C into saturated steam at 200 kPa is?
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Question 107 of 126
107. Question
Five kilograms of water at 100℃ is changed to saturated steam having a final temperature of 130℃. Calculate the total amount of heat required in changing the water to steam.
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Question 108 of 126
108. Question
How much heat in MJ is added to 1.9 tonnes of ice at 16°C if 65% of the ice becomes steam at atmospheric pressure and 100°C and the remainder becomes water at 90°C?
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Question 109 of 126
109. Question
Show by calculation which of the following produces the driest steam?
Boiler A produces 600 kPa steam with enthalpy of 2680 kJ/kg;
Boiler B produces steam at 305°C with enthalpy of 2695 kJ/kg.

A =
B =
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Question 110 of 126
110. Question
A boiler produces 7700kg steam per hour 94% quality at an absolute pressure of 1000 kPa from feedwater at 45°C. Find the equivalent evaporation of the boiler.
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Question 111 of 126
111. Question
A boiler produces 2000 kg of steam per hour at 400 kPa and 85% dry from 50°C BFW. What is its factor of evaporation?
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Question 112 of 126
112. Question
A boiler generates 9 kg of dry saturated steam per kg of fuel oil burned. Fuel oil heating value is 33000 kJ/kg. Feedwater is supplied at 70℃, and the boiler pressure is 1500 kPa. Calculate the boiler efficiency.
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Question 113 of 126
113. Question
Boyle’s Law deals with a process that is:
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Question 114 of 126
114. Question
The work done in a constant pressure expansion can be determined by:
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Question 115 of 126
115. Question
To “expand a gas” means the gas is ___________________.
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Question 116 of 126
116. Question
Compression requires that ________________________.
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Question 117 of 126
117. Question
A perfect gas is compressed under conditions of constant temperature to a volume of 31 m^3. If the final pressure of the gas is 475 kPa gauge, and the initial volume was 130 m^3, what was the initial pressure? (Assume atmospheric pressure to be 101.3 kPa)
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Question 118 of 126
118. Question
What mass of air can be held in a storage cylinder at 95℃ and 1550 kPa absolute pressure, it the tank volume is 8.5 m^3?
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Question 119 of 126
119. Question
Find the characteristic constant for a gas if 108 kg of the gas has a volume of 5.9 m^3 when the pressure is 1600 kPa absolute and the temperature is 42 ℃.
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Question 120 of 126
120. Question
0.25 m^3 of gas at 4150 kPa gauge pressure is expanded until the pressure is 500 kPa gauge. If expansion is polytropic with n = 1.25 find the final volume the gas will occupy. Note: Assume atmospheric pressure = 100 kPa
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Question 121 of 126
121. Question
A gas is compressed adiabatically from 250 kPa to 740 kPa. The index of compression for the gas is 1.35 and the volume decreases from 3.5 m^3 to 1.4 m^3. How much work is done in compressing the gas?
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Question 122 of 126
122. Question
10.4 m^3 of air is compressed at a constant temperature to 1.3 m^3 and 800 kPa absolute. Calculate how much work is done on the gas, assuming atmospheric pressure to be 100 kPa.
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Question 123 of 126
123. Question
26,000 J of work is done in a cylinder when 0.2 kg of a perfect gas is expanded isothermally @110 ℃ from 0.035m^3 to 0.35m^3. Find the characteristic constant for this gas.
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Question 124 of 126
124. Question
A gas expands adiabatically from 1050 kPa to 225 kPa, with an expansion index of 1.42. If its volume increases from 1.5 m^3 to 4.25 m^3, find the amount of work performed.
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Question 125 of 126
125. Question
A gas at 1100kPa gauge pressure and 30°C is transferred from a cylindrical vessel 1.5m in diameter and 3m long to another cylindrical vessel 1.5m in diameter and 5m long. If the new gauge pressure is 200kPa, calculate the new temperature. Note: Assume atmospheric pressure to be 100kPa.
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Question 126 of 126
126. Question
1.5m^3of air at 150kpa and 15C is compressed to 1000kPa while following PV^1.34=C. Taking R for air at 0.287kJ/kgK, find the final volume of air and the mass of the air compressed.
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