Ideal Gas Thermodynamics Equations: Processes & Compressibility, Lecture notes of Engineering

Download Ideal Gas Thermodynamics Equations: Processes & Compressibility and more Lecture notes Engineering in PDF only on Docsity! KMÜ 200 Chemical Engineering Thermodynamics: (Equation Sheet 1: Chapter 2,3,5) Equations for Process Calculations for Ideal Gases Isobaric Process Isochoric Process Isothermal Process Adiabatic Process TV  = Cons. TP  = Cons. PV  = Cons. Polytropic Process TV  = Cons. TP  = Cons. PV  = Cons. For an ideal gas ΔS = S2-S1 = Cv ln (T2/T1) +Rln (V2/V1) with constant specific heats ΔS = S2-S1 = Cp ln (T2/T1) - Rln (P2/P1) Energy Equation Entropy Equation Compressibility Factor and Cubic Equation of State Virial Equation of State Pitzer Correlations and Equations Vapor&Vapor-like Roots of the Generic Cubic EoS Liquid &Liquid-like Roots of the Generic Cubic EoS The Poly. form of RK EoS The Poly. form of SRK EoS The Poly. form of PR EoS r r r r T P RT bP B T P TR Pa A ABZBBAZZ 08664.0 42747.0 0)( 222 223      r r r r T P RT bP B T P TR Pa A BBABZBBAZBZ 07780.0 45724.0 0)()32()1( 222 32223      r r r r T P RT bP B T P TR aP A ABZBBAZZ 08664.0 42748.0 0)( 5.25.22 223    dTCHQ p dTCUQ v G j j jcv fs S T Q dt mSd mS      , )( )(     WmPVQmzguU dt mUd fs fs cv               2 2 1)( WQmzguH dt mUd fs cv               2 2 1)( 1 2 1 2 lnln P P RT V V RTWQ    3 3 2 2 32 32 )( 23 )( ...1 ...1 RT BBCD D RT BC C RT B B V D V C V B RTZRTPV PDPCPBRTZRTPV ZRTPV V V Z real real real ideal real              c c c cr P RT b P TRT Ta EoSCubicGeneric bVbV Ta bV RT P EoSWaalsdervan V a bV RT P         22 2 )( )( )( ))(( )( )(    c r c r T T T P P P  PT V V          1  TP V V          1  2.4 1 6.1 0110010 422.0 139.0 422.0 083.011 rrr r r r T B T B T P BZ T P BZZZZ   ))(( 1       ZZ Z qZ    q Z ZZZ   1 ))(( r r T P  r r T T q    )(