Fundamentals of Thermodynamics 8th Edition Solution Manual – Chapter 12

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Fundamentalsof Thermod
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ynamics

SOLUTIONMANUAL C
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HAPTER 12 r




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Updated June 2013
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Fundamentals of Thermodynamics 8th Edition Borgnak
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ke and Sonntag
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CONTENT CHAPTER 12r r




SUBSECTION PROBrNO.

In-Textrconceptrquestions a-f
Studyrguiderproblems 1-15
Clapeyronrequation 16-33
PropertyrRelations,rMaxwell,randrthoserfor
Enthalpy,rinternalrEnergyrandrEntropy 34-43
VolumerExpansivityrandrCompressibility 44-59
EquationsrofrState 60-81
GeneralizedrCharts 82-120
Mixtures 121-133
HelmholtzrEOS 134-138
Reviewrproblems 139-148




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Therfollowingrtablergivesrthervaluesrforrthercompressibility,renthalpyrdeparturerandrtherentr
opyrdepartureralongrthersaturatedrliquid-
vaporrboundary.rTheserarerusedrforrallrtherproblemsrusingrgeneralizedrchartsrasrtherfiguresra
rerveryrdifficultrtorreadraccuratelyr(consistently)ralongrthersaturatedrliquidrline.rItrisrsuggest
edrthatrtherinstructorrhandsroutrcopiesrofrthisrpagerorrletrtherstudentsruserthercomputerrforrho
meworkrsolutions.



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




Excerptsrfromrthisrworkrmayrberreproducedrbyrinstructorsrforrdistributionronrarnot-for-
profitrbasisrforrtestingrorrinstructionalrpurposesronlyrtorstudentsrenrolledrinrcoursesrforrwhichrthisrtextbookrh
asrbeenradopted.rAnyrotherrreproductionrorrtranslationrofrthisrworkrbeyondrthatrpermittedrbyrSectionsr107ro
rr108rofrther1976rUnitedrStatesrCopyrightrActrwithoutrtherpermissionrofrthercopyrightrownerrisrunlawful.

, BorgnakkerandrSonntag




In-Text Concept Questions
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Excerptsrfromrthisrworkrmayrberreproducedrbyrinstructorsrforrdistributionronrarnot-for-
profitrbasisrforrtestingrorrinstructionalrpurposesronlyrtorstudentsrenrolledrinrcoursesrforrwhichrthisrtextbookrh
asrbeenradopted.rAnyrotherrreproductionrorrtranslationrofrthisrworkrbeyondrthatrpermittedrbyrSectionsr107ro
rr108rofrther1976rUnitedrStatesrCopyrightrActrwithoutrtherpermissionrofrthercopyrightrownerrisrunlawful.