Borgnakke Sonntag
.
Fundamentalsof Thermod
. .
ynamics
SOLUTIONMANUAL C
. .
HAPTER 12 .
8e
Updated June 2013
. .
, Borgnakke.and.Sonntag
Fundamentals of Thermodynamics 8th Edition Borgnakk
. . . . .
e and Sonntag
. .
CONTENT CHAPTER 12 . .
SUBSECTION PROB.NO.
In-Text.concept.questions a-f
Study.guide.problems 1-15
Clapeyron.equation 16-33
Property.Relations,.Maxwell,.and.those.for
Enthalpy,.internal.Energy.and.Entropy 34-43
Volume.Expansivity.and.Compressibility 44-59
Equations.of.State 60-81
Generalized.Charts 82-120
Mixtures 121-133
Helmholtz.EOS 134-138
Review.problems 139-148
Excerpts.from.this.work.may.be.reproduced.by.instructors.for.distribution.on.a.not-for-
profit.basis.for.testing.or.instructional.purposes.only.to.students.enrolled.in.courses.for.which.this.textbook.ha
s.been.adopted..Any.other.reproduction.or.translation.of.this.work.beyond.that.permitted.by.Sections.107.or.10
8.of.the.1976.United.States.Copyright.Act.without.the.permission.of.the.copyright.owner.is.unlawful.
, Borgnakke.and.Sonntag
The.following.table.gives.the.values.for.the.compressibility,.enthalpy.departure.and.the.entro
py.departure.along.the.saturated.liquid-
vapor.boundary..These.are.used.for.all.the.problems.using.generalized.charts.as.the.figures.ar
e.very.difficult.to.read.accurately.(consistently).along.the.saturated.liquid.line..It.is.suggested.
that.the.instructor.hands.out.copies.of.this.page.or.let.the.students.use.the.computer.for.homew
ork.solutions.
Tr Pr Zf Zg d(h/RT)f d(h/RT)g d(s/R)f d(s/R)g
0.96 0.78 0.14 0.54 3.65 1.39 3.45 1.10
0.94 0.69 0.12 0.59 3.81 1.19 3.74 0.94
0.92 0.61 0.10 0.64 3.95 1.03 4.00 0.82
0.90 0.53 0.09 0.67 4.07 0.90 4.25 0.72
0.88 0.46 0.08 0.70 4.17 0.78 4.49 0.64
0.86 0.40 0.07 0.73 4.26 0.69 4.73 0.57
0.84 0.35 0.06 0.76 4.35 0.60 4.97 0.50
0.82 0.30 0.05 0.79 4.43 0.52 5.22 0.45
0.80 0.25 0.04 0.81 4.51 0.46 5.46 0.39
0.78 0.21 0.035 0.83 4.58 0.40 5.72 0.35
0.76 0.18 0.03 0.85 4.65 0.34 5.98 0.31
0.74 0.15 0.025 0.87 4.72 0.29 6.26 0.27
0.72 0.12 0.02 0.88 4.79 0.25 6.54 0.23
0.70 0.10 0.017 0.90 4.85 0.21 6.83 0.20
0.68 0.08 0.014 0.91 4.92 0.18 7.14 0.17
0.66 0.06 0.01 0.92 4.98 0.15 7.47 0.15
0.64 0.05 0.009 0.94 5.04 0.12 7.81 0.12
0.60 0.03 0.005 0.95 5.16 0.08 8.56 0.08
0.58 0.02 0.004 0.96 5.22 0.06 8.97 0.07
0.54 0.01 0.002 0.98 5.34 0.03 9.87 0.04
0.52 0.0007 0.0014 0.98 5.41 0.02 10.38 0.03
Excerpts.from.this.work.may.be.reproduced.by.instructors.for.distribution.on.a.not-for-
profit.basis.for.testing.or.instructional.purposes.only.to.students.enrolled.in.courses.for.which.this.textbook.ha
s.been.adopted..Any.other.reproduction.or.translation.of.this.work.beyond.that.permitted.by.Sections.107.or.10
8.of.the.1976.United.States.Copyright.Act.without.the.permission.of.the.copyright.owner.is.unlawful.
, Borgnakke.and.Sonntag
In-Text Concept Questions
. .
Excerpts.from.this.work.may.be.reproduced.by.instructors.for.distribution.on.a.not-for-
profit.basis.for.testing.or.instructional.purposes.only.to.students.enrolled.in.courses.for.which.this.textbook.ha
s.been.adopted..Any.other.reproduction.or.translation.of.this.work.beyond.that.permitted.by.Sections.107.or.10
8.of.the.1976.United.States.Copyright.Act.without.the.permission.of.the.copyright.owner.is.unlawful.
.
Fundamentalsof Thermod
. .
ynamics
SOLUTIONMANUAL C
. .
HAPTER 12 .
8e
Updated June 2013
. .
, Borgnakke.and.Sonntag
Fundamentals of Thermodynamics 8th Edition Borgnakk
. . . . .
e and Sonntag
. .
CONTENT CHAPTER 12 . .
SUBSECTION PROB.NO.
In-Text.concept.questions a-f
Study.guide.problems 1-15
Clapeyron.equation 16-33
Property.Relations,.Maxwell,.and.those.for
Enthalpy,.internal.Energy.and.Entropy 34-43
Volume.Expansivity.and.Compressibility 44-59
Equations.of.State 60-81
Generalized.Charts 82-120
Mixtures 121-133
Helmholtz.EOS 134-138
Review.problems 139-148
Excerpts.from.this.work.may.be.reproduced.by.instructors.for.distribution.on.a.not-for-
profit.basis.for.testing.or.instructional.purposes.only.to.students.enrolled.in.courses.for.which.this.textbook.ha
s.been.adopted..Any.other.reproduction.or.translation.of.this.work.beyond.that.permitted.by.Sections.107.or.10
8.of.the.1976.United.States.Copyright.Act.without.the.permission.of.the.copyright.owner.is.unlawful.
, Borgnakke.and.Sonntag
The.following.table.gives.the.values.for.the.compressibility,.enthalpy.departure.and.the.entro
py.departure.along.the.saturated.liquid-
vapor.boundary..These.are.used.for.all.the.problems.using.generalized.charts.as.the.figures.ar
e.very.difficult.to.read.accurately.(consistently).along.the.saturated.liquid.line..It.is.suggested.
that.the.instructor.hands.out.copies.of.this.page.or.let.the.students.use.the.computer.for.homew
ork.solutions.
Tr Pr Zf Zg d(h/RT)f d(h/RT)g d(s/R)f d(s/R)g
0.96 0.78 0.14 0.54 3.65 1.39 3.45 1.10
0.94 0.69 0.12 0.59 3.81 1.19 3.74 0.94
0.92 0.61 0.10 0.64 3.95 1.03 4.00 0.82
0.90 0.53 0.09 0.67 4.07 0.90 4.25 0.72
0.88 0.46 0.08 0.70 4.17 0.78 4.49 0.64
0.86 0.40 0.07 0.73 4.26 0.69 4.73 0.57
0.84 0.35 0.06 0.76 4.35 0.60 4.97 0.50
0.82 0.30 0.05 0.79 4.43 0.52 5.22 0.45
0.80 0.25 0.04 0.81 4.51 0.46 5.46 0.39
0.78 0.21 0.035 0.83 4.58 0.40 5.72 0.35
0.76 0.18 0.03 0.85 4.65 0.34 5.98 0.31
0.74 0.15 0.025 0.87 4.72 0.29 6.26 0.27
0.72 0.12 0.02 0.88 4.79 0.25 6.54 0.23
0.70 0.10 0.017 0.90 4.85 0.21 6.83 0.20
0.68 0.08 0.014 0.91 4.92 0.18 7.14 0.17
0.66 0.06 0.01 0.92 4.98 0.15 7.47 0.15
0.64 0.05 0.009 0.94 5.04 0.12 7.81 0.12
0.60 0.03 0.005 0.95 5.16 0.08 8.56 0.08
0.58 0.02 0.004 0.96 5.22 0.06 8.97 0.07
0.54 0.01 0.002 0.98 5.34 0.03 9.87 0.04
0.52 0.0007 0.0014 0.98 5.41 0.02 10.38 0.03
Excerpts.from.this.work.may.be.reproduced.by.instructors.for.distribution.on.a.not-for-
profit.basis.for.testing.or.instructional.purposes.only.to.students.enrolled.in.courses.for.which.this.textbook.ha
s.been.adopted..Any.other.reproduction.or.translation.of.this.work.beyond.that.permitted.by.Sections.107.or.10
8.of.the.1976.United.States.Copyright.Act.without.the.permission.of.the.copyright.owner.is.unlawful.
, Borgnakke.and.Sonntag
In-Text Concept Questions
. .
Excerpts.from.this.work.may.be.reproduced.by.instructors.for.distribution.on.a.not-for-
profit.basis.for.testing.or.instructional.purposes.only.to.students.enrolled.in.courses.for.which.this.textbook.ha
s.been.adopted..Any.other.reproduction.or.translation.of.this.work.beyond.that.permitted.by.Sections.107.or.10
8.of.the.1976.United.States.Copyright.Act.without.the.permission.of.the.copyright.owner.is.unlawful.
