Thermodynamics: An Engineering Approach 7th Edition by Yunus A. Çengel & Michael A. Boles – Chapters 1–9 Solution Manual | Complete Worked Solutions

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Solution Manual For
Thermodynamics An Engineering Approach 7th Edition by Yunus A. Cengel, Michael A. Boles
McGraw-Hill
Chapter 1-9


Chapter 1
INTRODUCTION AND BASIC CONCEPTS
business exams, often requiring students to demonstrate knowledge of legal statutes, case law, and their ability to apply legal reasoning. Common types of law exams include:Essay

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Thermodynamics


1-1 C On a downhill road the potential energy of the bicyclist is being converted to kinetic energy, and thus the bicyclist
picks up speed. There is no creation of energy, and thus no violation of the conservation of energy principle.


1-2 C A car going uphill without the engine running would increase the energy of the car, and thus it would be a violation of
the first law of thermodynamics. Therefore, this cannot happen. Using a level meter (a device with an air bubble between
two marks of a horizontal water tube) it can shown that the road that looks uphill to the eye is actually downhill.


1-3 C There is no truth to his claim. It violates the second law of thermodynamics.
Mass, Force, and Units


1-4 C The “pound” mentioned here must be “lbf” since thrust is a force, and the lbf is the force unit in the English system.
You should get into the habit of never writing the unit “lb”, but always use either “lbm” or “lbf” as appropriate since the
two units have different dimensions.




1-5 C In this unit, the word light refers to the speed of light. The light-year unit is then the product of a velocity and time.
Hence, this product forms a distance dimension and unit.




1-6 C There is no acceleration, thus the net force is zero in both cases.

, 1-3

1-7 E The weight of a man on earth is given. His weight on the moon is to be determined.
Analysis Applying Newton's second law to the weight force gives
 2 
W 210 lbf 32.174 lbmft/s 
W  mg  m    210.5 lbm
g 32.10ft/s2 1 lbf 


Mass is invariant and the man will have the same mass on the moon. Then, his weight on the moon will be
2  1lbf 
W  mg  (210.5 lbm)(5.47 ft/s  35.8 lbf
)
32.174 lbmft/s 
2


business exams, often requiring students to demonstrate knowledge of legal statutes, case law, and their ability to apply legal reasoning. Common types of law exams include:Essay 
1-8 The interior dimensions of a room are given. The mass and weight of the air in the room are to be determined.
Assumptions The density of air is constant throughout the room.
Properties The density of air is given to be  = 1.16 kg/m3.
Analysis The mass of the air in the room is ROOM
AIR
m  V  (1.16 kg/m3 )(6 6  8 m3 )  334.1 kg
 6X6X8 m3
Thus, 
 1N 
W mg (334.1 kg)(9.81 m/s 2 ) 
  2  3277 N
1 kgm/s 

, 1-4
1-9 The variation of gravitational acceleration above the sea level is given as a function of altitude. The height at which the
weight of a body will decrease by 0.5% is to be determined.
z
Analysis The weight of a body at the elevation z can be expressed as
W  mg  m(9.807  3.32  106 z)

In our case,
W  0.995Ws  0.995mg s  0.995(m)(9.81)
Substituting, 0
0.995(9.81)  (9.81 3.32106 z)  z 14,774 m  Sea level
14,770 m
business exams, often requiring students to demonstrate knowledge of legal statutes, case law, and their ability to apply legal reasoning. Common types of law exams include:Essay


1-10 The mass of an object is given. Its weight is to be determined.
Analysis Applying Newton's second law, the weight is determined to be

W  mg  (200 kg)(9.6 m/s2 )  1920 N



1-11 E The constant-pressure specific heat of air given in a specified unit is to be expressed in various units.
Analysis Applying Newton's second law, the weight is determined in various units to be
1 kJ/kg  K 
cp (1.005kJ/kg  1.005 kJ/kg K
C)
1 kJ/kg  C 
1000 J  1 kg 
c p  (1.005 kJ/kg    1.005 J/g C
C)
 1 kJ 1000 g 
c  (1.005 kJ/kg  1 kcal  0.240kcal/kgC

p  
C)
4.1868 kJ 
 1 Btu/lbm  F 
c p  (1.005 kJ/kg  C)  0.240 Btu/lbm F
4.1868 kJ/kg  C 


1-12 A rock is thrown upward with a specified force. The acceleration of the rock is to be determined.
Analysis The weight of the rock is
 
2  1N 
W  mg  (3 kg)(9.79 m/s )  29.37 N
1 kg  m/s 2

Then the net force that acts on the rock is
Fnet  Fup  Fdown  200  29.37  170.6 N
Stone
From the Newton's second law, the acceleration of the rock becomes

a
F 170.6 N1 kgm/s 2 
 56.9 m/s
 2

, m 3 kg  1N 

business exams, often requiring students to demonstrate knowledge of legal statutes, case law, and their ability to apply legal reasoning. Common types of law exams include:Essay 

1-13 Problem 1-12 is reconsidered. The entire EES solution is to be printed out, including the numerical results with
proper units.
Analysis The problem is solved using EES, and the solution is given below.

"The weight of the rock is"
W=m*g
m=3 [kg]
g=9.79 [m/s2]
"The force balance on the rock yields the net force acting on the rock as"
F_up=200 [N]
F_net = F_up - F_down
F_down=W
"The acceleration of the rock is determined from Newton's second law."
F_net=m*a
"To Run the program, press F2 or select Solve from the Calculate menu."


SOLUTION
a=56.88 [m/s^2]
F_down=29.37 [N]
F_net=170.6 [N]
F_up=200 [N]
g=9.79 [m/s2]
m=3 [kg]
W=29.37 [N]


m [kg] a [m/s2] 200
1 190.2
2 90.21
160
3 56.88
4 40.21
5 30.21 120
a [m/s ]
2




6 23.54
7 18.78
8 15.21 80
9 12.43
10 10.21
40


0
1 2 3 4 5 6 7 8 9 10
m [kg]




1-14 During an analysis, a relation with inconsistent units is obtained. A correction is to be found, and the probable cause
of the error is to be determined.
Analysis The two terms on the right-hand side of the equation
E = 25 kJ + 7 kJ/kg
do not have the same units, and therefore they cannot be added to obtain the total energy. Multiplying the last term by mass
will eliminate the kilograms in the denominator, and the whole equation will become dimensionally homogeneous; that is,
every term in the equation will have the same unit.