Physical Chemistry Real gases Virial Equation of state Power series in l/v PV=RT1+ B(1),C()D(T (8.4) Power series in p PVm=R7[l+B(m)P+C()P+D(7)P+…](85) B=BRT, C=(B+CRT 8 RT tB low P (8.7) RT RT (8.2) P a Z v k RTYo 1-b/V RTV vdw ga ras RTVirial Equation of State [1 '( ) '( ) '( ) ] PVm = RT + B T P +C T P 2 + D T P 3 + (8.5) 2 2 2 B = B'RT , C = (B' +C')R T (8.6) B P RT Vm = + low P (8.7) m m m m m m RTV a RTV b V a V b V Z RT PV − − − = − = = 1 / 1 vdW gas 2 m Vm a V b RT P − − = (8.2)  RT Vm Physical Chemistry Real Gases       = + + 2 + 3 + ( ) ( ) ( ) 1 m m m m V D T V C T V B T P V R T (8.4) Power series in 1/Vm Power series in P