lecture__8_after

lecture__8_after - rearrange Change measure Z Linear...

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1 CHE 220 Introduction to Chemical Engineering Thermodynamics Lecture 8: Virial Equations Taylor series expansion Expansion for Z in density Virial coefficients Expansion for Z in pressure
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2 The Taylor series expansion is used to estimate the value of a function by expanding around a reference point . f(x) x Goal: models for dense gases Method: real = reference + correction x o , f(x o ): known f(x 1 ): estimate Comments:
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3 This expansion is applied in thermodynamics to get the virial equation of state for moderate gases. propane Ideal gas Z( ρ =0): known Z( ): estimate Second virial coefficient: Third virial coefficient: Intensive, measurable Expand along an isotherm…
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4 How can we measure B(T)??
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Unformatted text preview: rearrange Change measure Z Linear Intercept = Slope = 5 The virial expansion can be done in pressure instead of density. Along isotherm, expand Z in P about ideal gas value The pressure and density virial coefficients are related 6 Using the virial expansions for PvT properties requires the definition of the compressibility factor . Choose virial expansion 1 term virials 2 term virials Z = Pv/RT 7 Example: find v for methyl chloride at 75 bar, 600K. Critical constants: Table B.2 Tc = 416.3 Tr = 1.44 Pc = 66.8 Pr = 1.12 What phase is this? Is the virial EOS appropriate? There is an easy way and a hard way...
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lecture__8_after - rearrange Change measure Z Linear...

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