Property of Ideal-Gasdu = c,dT·constant volume or constant pressurefor real-gasdh =c,dT: any process for ideal-gasIdenticaltemperaturepz==4Identical U,Hh2 = h, = ha3Identical temperature difference2Identical △U, △H1T1Au2=ui=Nuj4Vh2 = Nhi3 = hi4 11
11 h c T u c T p v d d d d = = Property of Ideal-Gas • constant volume or constant pressure for real-gas • any process for ideal-gas Identical temperature Identical U,H 2 3 4 2 3 4 h h h u u u = = = = Identical temperature difference Identical U,H 12 13 14 12 13 14 h h h u u u = = = = p v T1 T2 1 2 3 4
Specific Heat of Ideal-GasduCp-C,=RdTdh=RCCp.my.mYpdTCCCpp,mK-specific heat ratioCCv,m比热比kR或绝热指数k-1R12k-1
12 Specific Heat of Ideal-Gas T h c T u c p v d d d d = = p m v m m p v C C R c c R − = − = , , specific heat ratio 1 1 , , − = − = = = k R c k kR c C C c c k v p v m p m v p 比热比 或 绝热指数
Evaluation of△U,△Hof ldeal-Gas1. Constant Specific HeatTab.3△u= c,(T -T)h= c,(T, -T)2. Empirical EquationTab.2Nh :c.dT(a +a,T+a,T? +a,T')dTM(c, - R)dT = △h- R(T2 -T)13
13 Evaluation of of Ideal U,H -Gas 1. Constant Specific Heat Tab.3 ( ) ( ) 2 1 2 1 h c T T u c T T p v = − = − 2. Empirical Equation Tab.2 ( )d ( ) ( )d 1 d 2 1 2 1 2 1 3 3 2 0 1 2 2 1 u c R T h R T T a a T a T a T T M h c T p p = − = − − = = + + +
Evaluation of△U,△Hof ldeal-Gas3.Average Specific HeatTab.4&5t2dt20h.dt +tt,di0℃~t℃average specific heattt2Ah14
14 Evaluation of of Ideal U,H -Gas 3. Average Specific Heat Tab.4 & 5 1 0 1 2 0 2 0 0 2 1 2 2 1 1 d d d d d t c t t t c t h c t c t c t t t p t t p p t p t t p = = − = − t c t c t t p p = 0 0 d － average specific heat 0℃～t℃ 0 2 0 1 1 0 2 0 2 1 2 1 u c t c t h c t c t t v t v t p t p = − = −
Evaluation of△U,AHof Ideal-Gas4. Thermodynamic Property Table of ldeal-GasTab.6~12Reference TemperatureInternal EnergyUo0℃C25℃,0KEnthalpyhoUo=0ho=0,dT = uo +u(T)u=TohdT = ho +h(T)15
15 4. Thermodynamic Property Table of Ideal-Gas Tab.6～12 Evaluation of of Ideal U,H -Gas Reference Temperature T0 Internal Energy u0 Enthalpy h0 0℃,25℃,0K u0=0 h0=0 d ( ) d ( ) 0 0 0 0 0 0 h h c T h h T u u c T u u T T T p T T v = + = + = + = +