lecture 1 - 12 C. a 12 > a 22 & a 12...

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Monday, Oct 25 Exam Thursday, Nov 4 Questions? Reading Quiz Questions?
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EOS for pure component + Mixing Rule = EOS for mixture Essence of Chapter 10: Mixing Rule: Incorporate mixture compositions into EOS e.g., parameters a and b in PR EOS are dependent on composition.
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Ch 9 vs. Ch 10 Ch 9: Ideal x i P i sat = y i P Ch10: Non-ideal x i φ i L P=y i φ i V P
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Mixing Rule Example: vdW EOS Z = 1 1 b ρ a RT a = 27 R 2 T C 2 64 P C b = 0.125 R T C P C 1 component (Eq 6.13): Mixture (Eq 10.9): a = x i x j a ij b = x i b i i j i a = molecular interactions b = close-packed volume Change composition a and b changes
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a 1 = 27 R 2 T C 1 2 64 P C 1 , a 2 = 27 R 2 T C 2 2 64 P C 2 , a 12 = ( a 1 a 2 ) 0.5 (1 k 12 ) Mixing Rule for a: a = x 1 2 a 11 + 2 x 1 x 2 a 12 + x 2 2 a 22 k 12 = empirical constant for binary interaction
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Which statement is most likely correct if molecule 1 is represented by blue and molecule by red? A = 1 B = 2 A. a 22 = a 11 B. a 21 > a 12 C. a 12 > a 22 12 > a 11 D. a 12 < (a 11 a 22 ) ½ E. a 12 = a 11 a 22
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a = molecular interactions If molecular interactions , a a 12 <a 11 and a 12 <a 22 (D) a 12 < (a 11 a 22 ) ½ A. a 22 = a 11 B. a 21 > a
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Unformatted text preview: 12 C. a 12 &gt; a 22 &amp; a 12 &gt; a 11 D. a 12 &lt; (a 11 a 22 ) E. a 12 = a 11 a 22 Fugacity and Chemical Potential from EOS Pure component: G=G(T,P) At equilibrium, f i V ^ = f i L ^ K i = y i x i = i L ^ i V ^ y i i V ^ = x i i L ^ Mixture: G=G(T,P,n i ) ln = ln f P = G G ig RT ln ^ i = ln f i ^ y i P = ( G G ig )/ RT n i T , P , n i j Eq 8.22 Eq 10.12 Recall that for PURE component (Ch 8 notes): Isotherm (using EOS) P sat P sat determined via f liq = f vap Which is the VLE line that most likely connects liquid and vapor phases in equilibrium for a benzene-hexane mixture? A. A B. B C. C D. None of these 10 x x x x x x Isotherm for 60-40 benzene/hexane mixture P V A B C x A , y A P Constant T constant temperature slice Pressure Recall: Vapor-liquid equilibrium - 2 components...
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lecture 1 - 12 C. a 12 &amp;amp;gt; a 22 &amp;amp;amp; a 12...

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