4.18. Derivation of equilibrium-flash equations for a binary mixture. For a binary mixture of components 1 and 2, show that the phase compositions and amounts can be computed directly from the follow- ing reduced forms of (4-23, 24, and 26). x₁ = (1 − K₂)/(K₁ - K₂) x₂ = 1- x₁ Y₁ = (K₁ K₂ - K₁)/(K₂ - K₁) 3₂ = 1-3₁ V Y = = z₁[(K₁ − K₂)/(1 − K₂)] − 1 K₁-1

Introduction to Chemical Engineering Thermodynamics
8th Edition
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Chapter1: Introduction
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4.18. Derivation of equilibrium-flash equations for a binary
mixture.
For a binary mixture of components 1 and 2, show that the phase
compositions and amounts can be computed directly from the follow-
ing reduced forms of (4-23, 24, and 26).
x₁ = (1 - K₂)/(K₁ – K₂)
x₂ = 1-X₁
y₁ = (K₁K₂ - K₁)/(K₂ - K₁)
Y₂ = 1 - Y₁
=
V z₁ [(K₁ - K₂)/(1-K₁₂)] - 1
F
K₁-1
Transcribed Image Text:4.18. Derivation of equilibrium-flash equations for a binary mixture. For a binary mixture of components 1 and 2, show that the phase compositions and amounts can be computed directly from the follow- ing reduced forms of (4-23, 24, and 26). x₁ = (1 - K₂)/(K₁ – K₂) x₂ = 1-X₁ y₁ = (K₁K₂ - K₁)/(K₂ - K₁) Y₂ = 1 - Y₁ = V z₁ [(K₁ - K₂)/(1-K₁₂)] - 1 F K₁-1
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