5_60_lecture10

5_60_lecture10 - MIT OpenCourseWare http://ocw.mit.edu 5.60...

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Unformatted text preview: 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 . 5.60 Spring 2008 Lecture #10 page 1 Entropy and Disorder Mixing of ideal gases at constant T and p n A A (g, V A , T ) + n B A (g, V B , T ) = n (A + B) (g, V , T ) n V A n V B n V B spontaneous + n = n A B A B mixing V V + = A To calculate S mix , we need to find a reversible path between the two states. constant T A B A + B piston piston back to initial state permeable permeable to A only to B only S demix = S mix function of state For demixing process U = 0 q = w = p dV + p dV rev rev A A B B work of compression of each gas S = dq rev = V A p A dV A + V B p B dV B = n R ln V A + n R ln V B demix T V T V T A V B V Put in terms of mole fractions X A = n A X B = n B n n Ideal gas X A = V A X B = V B V V 5.60 Spring 2008 Lecture #10 page 2 S demix =...
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5_60_lecture10 - MIT OpenCourseWare http://ocw.mit.edu 5.60...

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