VLE in mixtures - Class notes_Rev4

VLE in mixtures - Class notes_Rev4 - Chemical Engineering...

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Unformatted text preview: Chemical Engineering Department University of Florida ECH 4123 Phase and Chemical Equilibria VAPOR-LIQUID EQUILIBRIUM IN MIXTURES CONTENTS 1. Introduction to vapor-liquid equilibrium..................................................... 2. General conditions for equilibrium in vapor-liquid mixtures....................... a. Equilibrium conditions b. Other Constraints c. Detailed expressions of equality of fugacities and sum of fugacities 3. Analysis of phase equilibrium for ideal mixtures at low pressures.............. a. Equality of fugacities b. Sum of fugacities c. X-Y diagram d. P-X-Y diagram e. T-X-Y diagram 4. Phase equilibrium for non-ideal mixtures ................................................... READING ASSIGNMENT • Fourth Edition- Chapter 10, Section 10.1 (skip material from page 509 to the end of the section; material to be covered later.). [ Third Edition – Chapter 8, Section 8.1 (skip material from page 493 to the end of the chapter; material to be covered later)]. Chapter 8 of the Third Edition has been greatly rearranged (and in also expanded) in the Fourth Edition, leading to Chapters 10, 11, and 12 of the Fourth Edition. Page 1 1) Introduction to VLE Experimental observations on the behavior of a mixture of hexane (composition denoted as x 1 or as x H ) and trimethylamine (x 2 or as x T ) at two equilibrium conditions at a constant temperature T = 60 C. x-y diagram at 60 C P-x-y diagram at 60 C Page 2 Experimental observations on the behavior of a mixture of hexane (composition denoted as x 1 or as x H ) and trimethylamine (x 2 or x T ) at two equilibrium conditions at a constant pressure P = 0.7 bar. x-y diagram at 0.7 bar T-x-y diagram at 0.7 bar Page 3 2) General conditions for phase equilibrium in vapor-liquid mixtures a. Equilibrium conditions Equality of temperatures T L = T V = T Equality of pressures P L = P V = P Equality of species fugacities f L 1 ( T , P , x ) = f V 1 ( T , P , y ) f L 2 ( T , P , x ) = f V 2 ( T , P , y ) ! f L C ( T , P , x ) = f V C ( T , P , y ) ! " # # # $ # # # (1) b. Other constraints Liquid composition x 1 + x 2 + ! + x C = 1 Gas composition y 1 + y 2 + ! + y C = 1 Sum of fugacities f L 1 ( T , P , x ) + f L 2 ( T , P , x ) + ! + f L C ( T , P , x ) = f V 1 ( T , P , y ) + f V 2 ( T , P , y ) + ! + f V C ( T , P , y ) (2) Page 4 c . Detailed expression of equality of fugacities and sum of fugacities The equality of species fugacities (1) can be written in the equivalent form f i L ( T ,...
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This note was uploaded on 08/21/2011 for the course ECH 4123 taught by Professor Zeigler during the Spring '07 term at University of Florida.

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VLE in mixtures - Class notes_Rev4 - Chemical Engineering...

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