10-1
CHAPTER 10
The correspondence between the new problem set and the previous 4th edition chapter 8 problem set. New 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Old new new 1 2 3 5 6 7 9 15 16 10 11 49 47 13 14 38 52 8 New 21 22 23 24 25 26 27 28

AE 231 Thermodynamics
Week 4
Instructor: Assoc. Prof. Dr. Sinan Eyi
Specifc Heats at Constant Pressure and
Volume
2
Energy Balance for a Constant-volume Process
From the definition of specific heat
Q = mCv T
Combine the first law and the definition of spe

AE 231 Thermodynamics
Fall 2013, Exam 1
Please write neatly
1. Assume that the cyclic motion of piston compresses and expands air in a cylinder. The
volume of air changes from V1 to V2 and then to V1 again. During this cyclic process the heat
transfer bet

AE 231 Thermodynamics
Chapter 9
Entropy for a Control Volume
Instructor: Assoc. Prof. Dr. Sinan Eyi
The Second Law of Thermodynamics
for a Control Volume
Q
= + S gen
dt
T
dS sys .
dBsys
dBCV
=
+ Bout Bin
dt
dt
Rate equation for Control Mass
Reynolds Tra

AE 231, Thermodynamics, Fall 2014
Midterm I (November 2nd, 2014)
Solutions
Question 1:
a) Explain the Joule Thompson's experiment for ideal gases (5p.)
b) In an isothermal process, derive the boundary work relation for an ideal gas (5p.)
Solution 1:
a) In

AE 231, Thermodynamics, Fall 2014
Final (January 10th, 2015)
Please write neatly
Question 1:
a) Explain the Clausius inequality (5p.)
b) Explain the principle of the increase of entropy (5p.)
Solution 1:
a) For all reversible and irreversible cyclic devic

AE231 Thermodynamics
Answer for Quiz 8 (November 24, 2014)
Question:
Air from a line at 300Kpa, 200C is used to fill an initially empty container, V = 0.5 m3. The container is
closed when the pressure reaches line pressure. Assume that no heat transfer ta

AE231 Thermodynamics
Answer for Quiz 4 (October 27, 2014)
Please write neatly
Question
Assume that 2kg of air is heated in a constant volume and constant pressure processes. (For air :
Cv=0.718kJ/kg.K, Cp=1.005kJ/kg.K, R=0.287kJ/kg.K)
a) Calculate the int

AE231 Thermodynamics
Answer for Quiz 6 (November 10, 2014)
Assume that air is flowing through an ideal nozzle. The velocity and temperature of air at the inlet
are 1 m/s and 300 oC, respectively. If the temperature of air at the exit is 30 oC, calculate t

AE231 Thermodynamics
Answer for Quiz 8 (November 24, 2014)
Quiz 7 (November 17, 2014)
Carbon dioxide enters a steady-state, steady-flow heat exchanger at 300 kPa, 15C, and exits at
275 kPa and 1200C. Changes in kinetic and potential energies are negligibl

AE231 Thermodynamics
Quiz 1 (September 29, 2014)
Qusetion 1. What are the thermodynamic systems we have studied ? (50p.)
Answer 1: There are the different thermodynamic systems. These are closed system,
open system and isolated system. A closed system con

AE231 Thermodynamics
Answer for Quiz 10 (December 8th, 2014)
Question:
Assume that a heat engine operates between 800 oC and 20 oC.
a) what is the thermal efficiency of this engine
b) If the heat rejected to 20 oC heat reservoir is 2kw, what will be the p

AE231 Thermodynamics
Answer for Quiz 3 (October 20, 2014)
Question: During a quasi-equilibrium process, the relation between the pressure and volume is
given with a polytrophic process, Pv2= constant. Assume that initial pressure and volume are
given as P

AE231 Thermodynamics
Answer for Quiz 9 (December 1st, 2014)
Question:
The compressor of a refrigerator uses 200W of electrical power. In the condenser of the same
refrigerator, 500W of heat is rejected to surrounding. Calculate the coefficient of performa

AE231 Thermodynamics
Answer Quiz 5 (November 3, 2014)
Let's assume that an insulated container is divided into two equal volumes by a membrane. In the first
section we have 2 kg of ideal gas (gas constant, R = 0.287 kj/kgK). The initial temperature and pr

AE 231 Thermodynamics
Chapter 3
Pure Substance Behavior
Instructor: Assoc. Prof. Dr. Sinan Eyi
1
Learning Objectives of Chapter 3
Understand the Following Concepts
Pure Substance
Phase Change in Pure Substance
Property Diagrams
Ideal Gas
Real Gases
2
Pure

AE 231, Thermodynamics, Fall 2014
Midterm II Solutions (December 14th, 2014)
Question 1:
a) Explain the Clausius Statement (5p.)
Answer: It is impossible for any system to operate in such a way that the sole result would be an energy
transfer by heat from

AE 231 Thermodynamics
Problems on Transient Process
Instructor: Assoc. Prof. Dr. Sinan Eyi
Problem 1
Question: An initially empty bottle, V = 0.25 m3, is filled with water from a line at 0.8 MPa,
350C. Assume no heat transfer and that the bottle is closed

AE 231 Thermodynamics
Week 2
Instructor: Assoc. Prof. Dr. Sinan Eyi
1
Saturation Curve
Saturation pressure: The
pressure at which the liquid
and vapor phases are in
equilibrium at a given
temperature.
Saturation temperature :
The temperature at which
th

AE 231 Thermodynamics
Chapter 6
ENERGY EQUATION FOR A
CONTROL VOLUME
Instructor: Assoc. Prof. Dr. Sinan Eyi
1
Conservation of Mass
Conservation of mass: Mass, like energy, is a conserved property, and it
cannot be created or destroyed during a process.

AE 231 Thermodynamics
Week 1
Instructor: Assoc. Prof. Dr. Sinan Eyi
1
Course Outline
1.
2.
3.
4.
5.
6.
7.
Introduction (1 hour)
Control Volumes and Units (2 hours)
Pure Substance Behavior (4 hours)
Energy Transfer (4 hours)
Energy Equation for a Control M

AE 231 Thermodynamics
Week 3
Instructor: Assoc. Prof. Dr. Sinan Eyi
Chapter 4
ENERGY TRANSFER
2
Energy Types
In engineering thermodynamics the change in
energy of a system is composed of three
contributions:
Kinetic energy
Gravitational potential energy

AE 231 Thermodynamics
Chapter 7
The classical Second Law of
Thermodynamics
Instructor: Assoc. Prof. Dr. Sinan Eyi
The Second Law of Thermodynamics
From conservation of mass and energy
principles, mass and energy cannot be created or
destroyed.
Conservatio

AE 231 Thermodynamics
Recitation 9
Instructor: Assoc. Prof. Dr. Sinan Eyi
Problem 1
Question:A heavily-insulated cylinder fitted with a frictionless
piston contains ammonia at 6C, 90% quality, at which point the
volume is 200 L. The external force on the

AE 231 Thermodynamics
Recitation 1
Instructor: Assoc. Prof. Dr. Sinan Eyi
Problem 1
Question: A 1-m3 rigid tank with air at 1 MPa, 400 K is connected to an air line as
shown in Fig. P3.9. The valve is opened and air flows into the tank until the pressure

AE 231 Thermodynamics
Recitation 8
Instructor: Assoc. Prof. Dr. Sinan Eyi
Problem 1
Question: A diffuser is a steady-state, steady-flow device in which
a fluid flowing at high velocity is decelerated such that the
pressure increases in the process. Air at

AE 231 Thermodynamics
Recitation 7
Instructor: Assoc. Prof. Dr. Sinan Eyi
Problem 1
Question: One kilogram of water at 300C expands against a
piston in a cylinder until it reaches ambient pressure, 100 kPa, at
which point the water has a quality of 90%. I

AE 231 Thermodynamics
Recitation 2
Instructor: Assoc. Prof. Dr. Sinan Eyi
Problem 1
Question: A rigid tank is divided into two rooms by a
membrane, both containing water, shown in the figure.
Room A is at 200 kPa, v = 0.5 m3/kg, VA = 1 m3, and room
B cont

AE 231 Thermodynamics
Recitation 6
Instructor: Assoc. Prof. Dr. Sinan Eyi
Problem 1
Question: A cyclic machine, shown in the figure, receives 325 kJ
from a 1000 K energy reservoir. It rejects 125 kJ to a 400 K
energy reservoir and the cycle produces 200 k

AE 231 Thermodynamics
Recitation 5
Instructor: Assoc. Prof. Dr. Sinan Eyi
Problem 1
Question: A rigid and insulated tank is divided
into two rooms by a membrane. One of the
room contains ideal gas. The other room is
empty. After the membrane is ruptured t

AE231 Thermodynamics
Recitation 2
Instructor: Assoc. Prof. Dr. Sinan Eyi
Example 1
Question: Find the phase, quality x if applicable
and the missing property P, T or v.
a) H2O, T = 120C, v = 0.5 m3/kg
b) H2O, P = 100 kPa, v = 1.8 m3/kg
c) H2O, P = 10 kPa,

AE231 Thermodynamics
Recitation 4
Instructor: Assoc. Prof. Dr. Sinan Eyi
Example 1
Question: A rigid tank is divided into two rooms by a membrane,
both containing water. Room A is at 200 kPa, v=0.5 m3/kg, VA=1
m3, and room B contains 3.5 kg at 0.5 MPa, 40

AE231 Thermodynamics
Recitation 6
Instructor: Assoc. Prof. Dr. Sinan Eyi
Example 1
Question: Nitrogen gas
flows into a convergent
nozzle at 200 kPa, 400 K and very low velocity. It
flows out of the nozzle at 100 kPa, 330 K. If the
nozzle is insulated find

AE231 Thermodynamics
Recitation 3
Instructor: Assoc. Prof. Dr. Sinan Eyi
Example 1
Question: A spherical elastic balloon initially containing 5
kg ammonia as saturated vapor at 20C is connected by a
valve to a 3-m3 evacuated tank. The balloon is made such

AE231 Thermodynamics
Recitation 5
Instructor: Assoc. Prof. Dr. Sinan Eyi
Example 1
Question A piston/cylinder arrangement shown in Fig. P4.6
initially contains air at 150 kPa, 400C. The setup is allowed to
cool to the ambient temperature of 20C.
a. Is the