
Fundamentals of Engineering Thermodynamics
8th Edition
ISBN: 9781118412930
Author: Michael J. Moran, Howard N. Shapiro, Daisie D. Boettner, Margaret B. Bailey
Publisher: WILEY
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Chapter 3.14, Problem 36CU
To determine
Indicate true or false:
Atmospheric air is normally modeled as an ideal gas.
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Example-1:
l
D
A uniform rotor of length 0.6 m and diameter 0.4 m is made of steel (density 7810 kg/m³)
is supported by identical short bearings of stiffness 1 MN/m in the horizontal and vertical
directions. If the distance between the bearings is 0.7 m, determine the natural frequencies
and plot whirl speed map.
Solution:
B
find the laplace transform for the
flowing function
2(1-e)
Ans. F(s)=-
S
12)
k
0
Ans. F(s)=
k
s(1+e)
0 a
2a 3a 4a
13)
2+
Ans. F(s)=
1
s(1+e")
3
14) f(t)=1, 0
Find the solution of the following Differential Equations
Using Laplace Transforms
1) 4y+2y=0.
y(0)=2.
y'(0)=0.
2) y+w²y=0,
(0)=A,
y'(0)=B.
3) +2y-8y 0.
y(0)=1.
y'(0)-8.
4)-2-3y=0,
y(0)=1.
y'(0)=7.
5) y-ky'=0,
y(0)=2,
y'(0)=k.
6) y+ky'-2k²y=0,
y(0)=2,
y'(0) = 2k.
7) '+4y=0,
y(0)=2.8
8) y+y=17 sin(21),
y(0)=-1.
9) y-y-6y=0,
y(0)=6,
y'(0)=13.
10) y=0.
y(0)=4,
y' (0)=0.
11) -4y+4y-0,
y(0)=2.1.
y'(0)=3.9
12) y+2y'+2y=0,
y(0)=1,
y'(0)=-3.
13) +7y+12y=21e".
y(0)=3.5.
y'(0)=-10.
14) "+9y=10e".
y(0)=0,
y'(0)=0.
15) +3y+2.25y=91' +64.
y(0)=1.
y'(0) = 31.5
16)
-6y+5y-29 cos(2t).
y(0)=3.2,
y'(0)=6.2
17) y+2y+2y=0,
y(0)=0.
y'(0)=1.
18) y+2y+17y=0,
y(0)=0.
y'(0)=12.
19) y"-4y+5y=0,
y(0)=1,
y'(0)=2.
20) 9y-6y+y=0,
(0)-3,
y'(0)=1.
21) -2y+10y=0,
y(0)=3,
y'(0)=3.
22) 4y-4y+37y=0,
y(0)=3.
y'(0)=1.5
23) 4y-8y+5y=0,
y(0)=0,
y'(0)=1.
24)
++1.25y-0,
y(0)=1,
y'(0)=-0.5
25) y 2 cos(r).
y(0)=2.
y'(0) = 0.
26)
-4y+3y-0,
y(0)=3,
y(0) 7.
27) y+2y+y=e
y(0)=0.
y'(0)=0.
28) y+2y-3y=10sinh(27),
y(0)=0.
y'(0)=4.
29)…
Chapter 3 Solutions
Fundamentals of Engineering Thermodynamics
Ch. 3.14 - 1. Why does popcorn pop?
Ch. 3.14 - 2. A plastic milk jug filled with water and stored...Ch. 3.14 - Prob. 3ECh. 3.14 - Prob. 4ECh. 3.14 - Prob. 5ECh. 3.14 - Prob. 6ECh. 3.14 - Prob. 7ECh. 3.14 - Prob. 8ECh. 3.14 - 9. An automobile’s radiator cap is labeled “Never...Ch. 3.14 - 10. Why are the tires of airplanes and race cars...
Ch. 3.14 - 11. Do specific volume and specific internal...Ch. 3.14 - Prob. 12ECh. 3.14 - Prob. 13ECh. 3.14 - Prob. 1CUCh. 3.14 - Prob. 2CUCh. 3.14 - Prob. 3CUCh. 3.14 - 4. The quality of a two-phase liquid-vapor mixture...Ch. 3.14 - 5. A system contains a two-phase liquid-vapor...Ch. 3.14 - 6. A substance that is uniform and invariable in...Ch. 3.14 - 7. Two examples of phase change are _______.
Ch. 3.14 - Prob. 8CUCh. 3.14 - 9. If a substance undergoes a constant-pressure...Ch. 3.14 - Prob. 10CUCh. 3.14 - 11. The specific heat ratio, k, must be greater...Ch. 3.14 - Prob. 12CUCh. 3.14 - Prob. 13CUCh. 3.14 - Prob. 14CUCh. 3.14 - Prob. 15CUCh. 3.14 - 16. What is the state principle for simple...Ch. 3.14 - Prob. 17CUCh. 3.14 - Prob. 18CUCh. 3.14 - 19. The term ___ refers to a quantity of matter...Ch. 3.14 - Prob. 20CUCh. 3.14 - Prob. 21CUCh. 3.14 - Prob. 22CUCh. 3.14 - Prob. 23CUCh. 3.14 - Prob. 24CUCh. 3.14 - Prob. 25CUCh. 3.14 - Prob. 26CUCh. 3.14 - Prob. 27CUCh. 3.14 - Prob. 28CUCh. 3.14 - Prob. 29CUCh. 3.14 - Prob. 30CUCh. 3.14 - Prob. 31CUCh. 3.14 - Prob. 32CUCh. 3.14 - Prob. 33CUCh. 3.14 - Prob. 34CUCh. 3.14 - Prob. 35CUCh. 3.14 - 36. Atmospheric air is normally modeled as an...Ch. 3.14 - Prob. 37CUCh. 3.14 - 38. If superheated water vapor at 30 MPa is cooled...Ch. 3.14 - Prob. 39CUCh. 3.14 - Prob. 40CUCh. 3.14 - Prob. 41CUCh. 3.14 - 42. For gases modeled as ideal gases, the ratio...Ch. 3.14 - Prob. 43CUCh. 3.14 - Prob. 44CUCh. 3.14 - Prob. 45CUCh. 3.14 - 46. Carbon dioxide (CO2) at 320 K and 55 bar can...Ch. 3.14 - 47. When an ideal gas undergoes a polytropic...Ch. 3.14 - Prob. 48CUCh. 3.14 - Prob. 49CUCh. 3.14 - 50. A two-phase liquid-vapor mixture has 0.2 kg of...Ch. 3.14 - Prob. 51CUCh. 3.14 - 52. A gas can be modeled as an ideal gas with...Ch. 3.14 - 3.1 A system consisting of liquid water and ice...Ch. 3.14 - 3.2 A system consists of liquid nitrogen in...Ch. 3.14 - Prob. 3PCh. 3.14 - Prob. 4PCh. 3.14 - 3.5 Determine the phase or phases in a system...Ch. 3.14 - Prob. 6PCh. 3.14 - Prob. 7PCh. 3.14 - Prob. 8PCh. 3.14 - 3.9 Determine the volume change, in ft3, when 1 lb...Ch. 3.14 - Prob. 10PCh. 3.14 - Prob. 11PCh. 3.14 - Prob. 12PCh. 3.14 - 3.13 For H2O. determine the specific volume at the...Ch. 3.14 - 3.14 For H2O, locate each of the following states...Ch. 3.14 - 3.15 Complete the following exercises. In each...Ch. 3.14 - 3.16 A 1-m3 tank holds a two-phase liquid-vapor...Ch. 3.14 - 3.17 Determine the volume, in ft3, of 2 lb of a...Ch. 3.14 - Prob. 18PCh. 3.14 - Prob. 19PCh. 3.14 - Prob. 20PCh. 3.14 - Prob. 21PCh. 3.14 - Prob. 22PCh. 3.14 - Prob. 23PCh. 3.14 - 3.24 A closed, rigid lank whose volume is 1.5 m3...Ch. 3.14 - 3.26 A closed, rigid tank contains a two-phase...Ch. 3.14 - Prob. 27PCh. 3.14 - 3.28 Ammonia contained in a piston-cylinder...Ch. 3.14 - 3.29 One kg of water initially is at the critical...Ch. 3.14 - 3.30 As shown in Fig. P3.30, a cylinder fitted...Ch. 3.14 - 3.31 A piston-cylinder assembly contains a...Ch. 3.14 - 3.32 Seven lb of propane in a piston-cylinder...Ch. 3.14 - 3.33 Two kg of Refrigerant 134A undergoes a...Ch. 3.14 - 3.34 From an initial state where the pressure is...Ch. 3.14 - 3.35 Three kg of Refrigerant 22 undergoes a...Ch. 3.14 - 3.36 As shown in Fig. P3.36. Refrigerant 134a is...Ch. 3.14 - 3.37 A piston-cylinder assembly contains 0.1 lb of...Ch. 3.14 - 3.38 For each of the following cases, determine...Ch. 3.14 - 3.39 Determine the values of the specified...Ch. 3.14 - 3.41 Using the tables for water, determine the...Ch. 3.14 - 3.42 For each ease, determine the specified...Ch. 3.14 -
3.43 Using the tables for water, determine the...Ch. 3.14 -
3.44 Using the tables for water, determine the...Ch. 3.14 - 3.45 For each case, determine the specified...Ch. 3.14 - 3.46 Water, initially saturated vapor at 4 bar....Ch. 3.14 - Prob. 47PCh. 3.14 - Prob. 48PCh. 3.14 - Prob. 49PCh. 3.14 - Prob. 50PCh. 3.14 - Prob. 51PCh. 3.14 - Prob. 52PCh. 3.14 - Prob. 53PCh. 3.14 - Prob. 54PCh. 3.14 - Prob. 55PCh. 3.14 - Prob. 56PCh. 3.14 - Prob. 57PCh. 3.14 - Prob. 58PCh. 3.14 - Prob. 59PCh. 3.14 - 3.60 As shown in Fig. P3.60, a rigid, closed tank...Ch. 3.14 - 3.61 A rigid, insulated tank fitted with a paddle...Ch. 3.14 - Prob. 62PCh. 3.14 - Prob. 63PCh. 3.14 - Prob. 64PCh. 3.14 - Prob. 65PCh. 3.14 - Prob. 67PCh. 3.14 - Prob. 69PCh. 3.14 - Prob. 70PCh. 3.14 - Prob. 71PCh. 3.14 - 3.72 A piston–cylinder assembly contains 2 lb of...Ch. 3.14 - 3.73 A system consisting of 3 lb of water vapor in...Ch. 3.14 - Prob. 74PCh. 3.14 - Prob. 75PCh. 3.14 - 3.76 As shown in Fig. P3.76, a piston-cylinder...Ch. 3.14 - Prob. 77PCh. 3.14 - Prob. 78PCh. 3.14 - Prob. 79PCh. 3.14 - 3.80 One-half kg of Refrigerant 22 is contained in...Ch. 3.14 - Prob. 81PCh. 3.14 - Prob. 82PCh. 3.14 - Prob. 83PCh. 3.14 - Prob. 84PCh. 3.14 - 3.85 As shown in Fig. P3.85, 0.5 kg of ammonia is...Ch. 3.14 - 3.86 A gallon of milk at 68℉ is placed in a...Ch. 3.14 - 3.87 Shown in Fig. P3.87 is an insulated copper...Ch. 3.14 - Prob. 88PCh. 3.14 - Prob. 89PCh. 3.14 - Prob. 90PCh. 3.14 - Prob. 91PCh. 3.14 - Prob. 92PCh. 3.14 - Prob. 93PCh. 3.14 - Prob. 94PCh. 3.14 - Prob. 95PCh. 3.14 - Prob. 96PCh. 3.14 - Prob. 97PCh. 3.14 - Prob. 98PCh. 3.14 - Prob. 99PCh. 3.14 - Prob. 100PCh. 3.14 - 3.101 A tank contains 0.5 m3 of nitrogen (N2) at...Ch. 3.14 - 3.102 Determine the percent error in using the...Ch. 3.14 - Prob. 103PCh. 3.14 - 3.104 Determine the specific volume, in m3/kg, of...Ch. 3.14 - Prob. 105PCh. 3.14 - 3.106 A closed, rigid tank is filled with a gas...Ch. 3.14 - Prob. 107PCh. 3.14 - 3.108 Determine the total mass of nitrogen (N2),...Ch. 3.14 - 3.109 Using Table A-18, determine the temperature,...Ch. 3.14 - 3.110 A balloon filled with helium, initially at...Ch. 3.14 - 3.111 As shown in Fig. 3.111, a piston-cylinder...Ch. 3.14 - 3.112 A piston-cylinder assembly contains air,...Ch. 3.14 - Prob. 113PCh. 3.14 - Prob. 114PCh. 3.14 - Prob. 116PCh. 3.14 - 3.117 As shown in Fig. P3.117, 20 ft3 of air at T1...Ch. 3.14 - Prob. 118PCh. 3.14 - 3.119 As shown in Fig. P3.119, a fan drawing...Ch. 3.14 - Prob. 120PCh. 3.14 - Prob. 121PCh. 3.14 - Prob. 122PCh. 3.14 - 3.123 Ten kg of hydrogen (H2), initially at 20°C,...Ch. 3.14 - 3.124 As shown in Fig. P3.124, a piston-cylinder...Ch. 3.14 - Prob. 125PCh. 3.14 - Prob. 126PCh. 3.14 - Prob. 127PCh. 3.14 - Prob. 128PCh. 3.14 - Prob. 129PCh. 3.14 - Prob. 130PCh. 3.14 - 3.131 Two kg of air, initially at 5 bar, 350 K and...Ch. 3.14 - 3.132 As shown in Fig. P3.132, a piston–cylinder...Ch. 3.14 - 3.133 Two kg of nitrogen (N2) gas is contained in...Ch. 3.14 - 3.134 As shown in Fig. P3.134, a rigid tank...Ch. 3.14 - 3.135 A closed, rigid tank fitted with a paddle...Ch. 3.14 - 3.136 As shown in Fig. P3.136, a piston–cylinder...Ch. 3.14 - 3.137 Carbon dioxide (CO2) is compressed in a...Ch. 3.14 - 3.138 Air is contained in a piston–cylinder...Ch. 3.14 - 3.139 Air contained in a piston–cylinder assembly...Ch. 3.14 - 3.140 Two-tenths kmol of nitrogen (N2) in a...Ch. 3.14 - 3.141 One kg of air in a piston–cylinder assembly...Ch. 3.14 - 3.142 Air contained in a piston–cylinder assembly...Ch. 3.14 - Prob. 143PCh. 3.14 - A piston-cylinder assembly contains air modeled as...Ch. 3.14 - One lb of oxygen, O2, undergoes a power cycle...
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