[ ] Unit 3 – Real & Ideal Gases Non-ideality of gases - Fugacity

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Presentation transcript:

[ ] Unit 3 – Real & Ideal Gases Non-ideality of gases - Fugacity Can generalize for a real gas ( ) .... 1 2 3 + = P T B RT V o f G , ln Þ The thermodynamic function fugacity. Note: f (P,T)  P as P  0 [ ] ...... exp ( ) o T P RT G V ln , + = Þ ÷ ø ö ç è æ ¶ Standard molar Gibbs energy 1 bar Gibbs energy must be taken relative to some standard state Standard state of real gas is taken to be the corresponding ideal gas at 1 bar i.e. must “adjust” the real gas to ideal behavior Real gas (T,P) Ideal gas (T,P) Real gas (T, P  0) = Ideal gas (T, P  0) G1 G2 G3 o P f RT dP V G ln ' 1 - = ò ÷ ø ö ç è æ D ®

P f = g 1 ln dP P Z ò - = g Fugacity coefficient Ideal gas,  = 1. Fugacity coefficient measures extent of non-ideality ' 1 ln dP P Z ò - = g (Z-1) / P P (bar)  1 P (bar) ideal Real