Borgnakke Sonntag
Fundamentals of
Thermodynamics
STUDY
PROBLEMS
CHAPTER 2
8e
CHAPTER 2
STUDY PROBLEMS
PROPERTIES OF A PURE SUBSTANCE
The vapor-liquid-solid phase equilibrium in a pure substance
Tables of thermodynamic properties
The ideal gas law
Compress
CHAPTER 3
STUDY PROBLEMS
PROPERTIES OF A PURE SUBSTANCE
The vapor-liquid-solid phase equilibrium in a pure substance
Tables of thermodynamic properties
The ideal gas law
Compressibility factor
Computerized tables
BORGNAKKE/SONNTAG STUDY PROBLEMS CHAPTER 3
CHAPTER 6
STUDY PROBLEMS
ENERGY EQUATION FOR A CONTROL VOLUME
Conservation of mass, continuity equation
Conservation of energy, the first law
Steady state processes and devices
The transient process
BORGNAKKE/SONNTAG STUDY PROBLEMS CHAPTER 6
6.1
Steady pi
Borgnakke Sonntag
Fundamentals of
Thermodynamics
STUDY
PROBLEMS
CHAPTER 3
8e
BORGNAKKE/SONNTAG STUDY PROBLEMS CHAPTER 3
CHAPTER 3
STUDY PROBLEMS
ENERGY EQUATION
Energy Equation
Work, Units, Boundary Work
Heat transfer
Internal energy, enthalpy and specifi
CHAPTER 4
STUDY PROBLEMS
WORK AND HEAT
Work and its units
Boundary work
Other types of work
Heat transfer
BORGNAKKE/SONNTAG STUDY PROBLEMS CHAPTER 4
4.1
Energy absorbed in a brake pad
A brake system generates a friction force of 2400 N between a moving an
u Wmvm. WWWA a
ME 235 EXAM I , OCT 22, 2015
C. BORGNAKKE, ME Dept.
Show the intermediate results/process to get partial credits.
1. (30 points) Answer the following questions.
(a) R-134a, T = -20C, u = 220 kJ/kg, P = ?, x = ?
(b) Ammonia, T = ~20C, v =
ME 235 EXAM 2, Dec. 02, 2015
C. Borgnakke
Problem 1 (35 Points)
A waste heat recovery system on a supertruck takes 14 kW heat from the exhaust system
at 330 C and uses it to drive a heat engine. The heat engine rejects heat to the ambient.
Assume the basi
Borgnakke Sonntag
Fundamentals of
Thermodynamics
STUDY
PROBLEMS
CHAPTER 1
8e
CHAPTER 1
STUDY PROBLEMS
INTRODUCTION
Properties, Units, Specific Volume and Density
Pressure
Energy and Temperature
BORGNAKKE/SONNTAG STUDY PROBLEMS CHAPTER 1
1.1
A hydraulic
Borgnakke Sonntag
Fundamentals of
Thermodynamics
STUDY
PROBLEMS
CHAPTER 4
8e
BORGNAKKE/SONNTAG STUDY PROBLEMS CHAPTER 4
CHAPTER 4
STUDY PROBLEMS
ENERGY ANALYSIS FOR A CONTROL VOLUME
Conservation of mass, continuity equation
Conservation of energy, the fir
Borgnakke Sonntag
Fundamentals of
Thermodynamics
STUDY
PROBLEMS
CHAPTER 5
8e
[Type text]
BORGNAKKE/SONNTAG STUDY PROBLEMS CHAPTER 5
CHAPTER 5
STUDY PROBLEMS
THE SECOND LAW OF THERMODYNAMICS
Heat engines and refrigerators
The second law of thermodynamics
T
Borgnakke Sonntag
Fundamentals of
Thermodynamics
STUDY
PROBLEMS
CHAPTER 6
8e
BORGNAKKE/SONNTAG STUDY PROBLEMS CHAPTER 6
CHAPTER 6
STUDY PROBLEMS
ENTROPY
The inequality of Clausius
The property entropy
Entropy changes in processes
Entropy generation
Entrop
Borgnakke Sonntag
Fundamentals of
Thermodynamics
STUDY
PROBLEMS
CHAPTER 7
8e
BORGNAKKE/SONNTAG STUDY PROBLEMS CHAPTER 7
CHAPTER 7
STUDY PROBLEMS
SECOND-LAW ANALYSIS FOR A CONTROL VOLUME
The entropy equation for a control volume
The steady state and the tr
Borgnakke Sonntag
Fundamentals of
Thermodynamics
STUDY
PROBLEMS
CHAPTER 9
8e
BORGNAKKE/SONNTAG STUDY PROBLEMS CHAPTER 9
CHAPTER 9
STUDY PROBLEMS
POWER AND REFRIGERATION SYSTEMS
WITH PHASE CHANGE
The steam power plant, Rankine cycle
The reheat cycle and fe
Borgnakke Sonntag
Fundamentals of
Thermodynamics
STUDY
PROBLEMS
CHAPTER 10
8e
BORGNAKKE/SONNTAG
STUDY PROBLEMS CHAPTER 10
CHAPTER 10
STUDY PROBLEMS
POWER AND REFRIGERATION SYSTEMS
GASEOUS WORKING FLUID
The gas turbine, Brayton cycle, jet engine
Reciproc
ME 235 FINAL EXAM, Spring 2012
C. BORGNAKKE, ME
Problem 1 (25 Points)
A disk brake of 2 kg steel and 1 kg brake pads (specific heat is 0.6 kJ/kg-K) is at 20oC.
The brakes are applied to lower the car speed so they heat to T2 = 200oC. After this the
whole
Examples
Two tanks (A &B) are initially separated by a partition. They contain steam at
different states. Tank—A contains Z—kg ofsteam at lMPa and 300°C while Tank B
contains 3—kg of saturated liquid—vapor mixture at 150°C with vapor mass fraction
of 50%.
THE UNIVERSITY OF MICHIGAN
Department of Mechanical Engineering
ME 235 Thermodynamics I / Fall 2016
HW #10 Due Thursday December 1
1
A heat upgrade system uses a compressor receiving R-134a as saturated vapor 150
kPa and compresses it in a reversible adia
THE UNIVERSITY OF MICHIGAN
Department of Mechanical Engineering
ME 235 Thermodynamics I / Fall 2016
HW #11 Due Tuesday December 13
1
The underwater bulb nose of a container ship has a velocity relative to the ocean
water as 10 m/s. What is the pressure at
HOMEWORK SET 6
3.xx
A piston/cylinder has water at 200 kPa, x = 0.5 and the cylinder has a stop similar
to fig. P3.11c. The water is now heated so it reaches a final state of 600oC, 400 kPa. Find
the specific work and specific heat transfer.
E
C.V. Water.
.,_a%/ p .- mww
NIE 235 FINAL EXAM Dec 18 2015
3 9
C. BORGNAIGCE, ME
Problem 1 (25 Points)
A. piston cylinder contains air at 1000 kPa,
piston IS pressed against the upper stops and
Now the air cools by heat transfer (100 W) to the ambient 300 K until the
IVIE 235 FINAL EXAM, SOLUTION JUNE 19, 2003
C. BORGNAKKE, ME
1 [25 points]
From the physical setup we know piston 021111101
move before P drops to 750 kPa reached at state 1a.
Tla = (PIE/PI)T1= 600 K
T2 < T13 => Piston drops
State 2: 750 kPa, 400 K.
V2
THE UNIVERSITY OF MICHIGAN
Department of Mechanical Engineering
ME 235 Thermodynamics I / Fall 2015
Instructor Section 002: Claus Borgnakke, [email protected], 2031 Autolab, 936-0432
Lecture: TuTh 3:00-4:30pm, 220 CHRYSLER;
Office hrs: TuTh 2:00-3:00pm or b
Steam power plant devices.
A steam turbine section.
A steam turbine with extraction points.
A cooling tower.
Steam traps.
A deaerator.
A geothermal powerplant
A liquid water turbine
called a Pelton turbine.
Piston cylinder engines
A small utility
gasoline
HOMEWORK SET 1
1.36
Some steel beams with a total mass of 700 kg are raised by a crane with an
acceleration of 2 m/s2 relative to the ground at a location where the local
gravitational acceleration is 9.5 m/s2. Find the required force.
Solution:
F = ma =
ME 235 HW set 3
2.67
Calculate the ideal gas constant for argon and hydrogen based on table A.2 and
verify the value with Table A.5
_
R 8.3145
R = M = 39.948 = 0.2081 kJ/kgK same as Table A.5
_
R 8.3145
R = M = 2.016 = 4.124256 kJ/kgK same as Table A.5
ar
ME 235 HW set 2
2.5
Water at room temperature and room pressure has v 1 10n m3/kg what is n?
See Table B.1.1 or B.1.2 to determine it is in the liquid phase
(you should know this already).
Table A.4 or from B1.1 at 20oC:
n = 3 (v = 0.00100 m3/kg)
2.20
Wat
HOMEWORK SET 4
3.51
A cylinder fitted with a frictionless piston contains 5 kg of superheated refrigerant
R-134a vapor at 1000 kPa, 140C. The setup is cooled at constant pressure until
the R-134a reaches a quality of 25%. Calculate the work done in the pr
HOMEWORK SET 5
3.117
A computer CPU chip consists of 50 g silicon, 20 g copper, 50 g polyvinyl
chloride (plastic). It heats from 15oC to 70oC as the computer is turned on. How
much energy does the heating require?
Energy Eq.:
U2 U1 = mi (u2 - u1)i = 1Q2 1
REVIEW FOR TEST I
What we have done so far?
- Developed a methodology of deﬁning a system, (1V. & (3.8.
Please do it carefully before proceeding to the solution. This will
help you understand the problem as well.
- System sketches— They are invaluable to
ME235 Thermodynamics I Section 002, Winter 2008 Homework #7 Solutions
Sonntag and Borgnakke
Sonntag and Borgnakke
m2 = V/v2 = 0.001/0.000861 = 1.16 kg At 20oC: vf = 0.000817 m3/kg < v2 so still two-phase P = Psat = 572.8 kPa
Sonntag and Borgnakke