ThermodynamicProcessAnalysisIsothermalProcessEnergyTransferVPi1. pdv= RT In 2RTinW=VP2vdp = RT ln Pi = RT In 2V1P2q = Au+w= Ah+ w, = RT ln Pi= RT In 2V2yP2定温过程中，气体吸入的热量全部转变成膨胀功，且全部是可利用的技术功，W=Wt
2 2 1 1 1 2 2 1 2 1 2 1 1 2 2 1 d ln ln d ln ln ln ln t t v p w p v RT RT v p p v w v p RT RT p v p v q u w h w RT RT p v 定温过程中，气体吸入的热量全部转变成膨胀功，且 全部是可利用的技术功，w=wt。 Energy Transfer Thermodynamic Process Analysis • Isothermal Process
ThermodynamicProcessAnalysisAdiabaticProcessNo heat transfer between gas and surrounding duringprocess. Not only the total heat transfer but also the heattransferbetweenfinite gasand surroundingis ZERO.Process Equation8q = 0q=0q = du + wAdiabatic+Reversiblefor Ideal-GasSq = c,dT + pdv = 0
Thermodynamic Process Analysis • Adiabatic Process No heat transfer between gas and surrounding during process. Not only the total heat transfer but also the heat transfer between finite gas and surrounding is ZERO. Process Equation δq 0 q 0 δq du δw Adiabatic+Reversible for Ideal-Gas δ d d v q c T p v 0
Thermodynamic Process AnalysisAdiabaticProcessq = c,dT + pdv= 0dTdynpdv+c,vdp = 0TpVdTvdp + pdydvdp=0TpvpVvdp + pdv:dT=1R
Thermodynamic Process Analysis • Adiabatic Process δ d d v q c T p v 0 d d d d d d d d d p v T p v T v p p v T pv T v p p v T R d d d d p v c p v c v p 0 v p k 0 v p
Thermodynamic Process AnalysisAdiabaticProcessdpdypVpvk = Constpv = RTTyk-I = Const11-kpkv= ConstTp k =Const
dv dp k 0 v p Thermodynamic Process Analysis • Adiabatic Process Const k pv pv RT Const k 1 Tv Const 1 k p v Const 1 k k Tp
Thermodynamic Process AnalysisAdiabaticProcessp2'AdiabaticProcessCompressIsothermalAProcessExpand22VSAdiabaticProcessdppdyV绝热线斜率的绝对值大于IsothermalProcess定温线斜率的绝对值dppdvV
Thermodynamic Process Analysis • Adiabatic Process p v 1 2 2’ T s 1 2 2’ Adiabatic Process Isothermal Process Expand Compress Adiabatic Process d d p p k v v Isothermal Process d d p p v v 绝热线斜率的绝对值大于 定温线斜率的绝对值