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5_60_lecture22

# 5_60_lecture22 - MIT OpenCourseWare http/ocw.mit.edu 5.60...

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MIT OpenCourseWare http://ocw.mit.edu 5.60 Thermodynamics & Kinetics Spring 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms .

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5.60 Spring 2008 Lecture #22 page 1 Two-Component Phase Equilibria III Ideal and Non-Ideal Solutions Free energy change G mix in ideal solutions A (liq) B (liq) A + B (liq) G l * ( ) * l G ( ) mix ( ) mix l G ( ) = n x µ l + n x µ ( ) l = n x µ l + n x µ ( ) 1 A A A B B B 2 A A A B B B G = l G ( ) G ( ) l mix 2 1 A A ( ) A B B ( ) B nx A µ A l nx B µ B l = nx µ l + RTlnx + nx µ l + RTlnx ( ) ( ) G = nRT x lnx + x lnx mix ( A A B B ) Purely entropic, as in gas mixture G = Vdp – SdT ∂∆ G mix T mix p ( A A B B ) S = − = − nR x lnx + x lnx H mix = ∆ G mix mix + T S = 0 No enthalpy change, all of G is due to entropy of mixing Change in volume V mix V mix = ∂∆ G p mix = 0 T No volume change, just like ideal gas.
5.60 Spring 2008 Lecture #22 page 2

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5_60_lecture22 - MIT OpenCourseWare http/ocw.mit.edu 5.60...

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