LECTURE SIX 054402 DESIGN AND ANALYSIS 054402 Design and Analysis LECTURE 6: SEQUENCING OF AZEOTROPIC DISTILLATION COLUMNS Daniel R. Lewin Department of Chemical Engineering Technion, Haifa, Israel Ref: Seider, Seader and Lewin (2004), Section 7.5 1 DESIGN AND ANALYSIS - (c) Daniel R. Lewin 6 - Azeotropic Distillation Steps in Process Design and Retrofit Assess Primitive Problem Detailed Process Synthesis Algorithmic Methods Plant-wide Controllability Assessment Development of Base-case SECTION B Detailed Design, Equipment sizing, Cap. Cost Estimation, Profitability Analysis, Optimization 2 1 DESIGN AND ANALYSIS - (c) Daniel R. Lewin 6 - Azeotropic Distillation Daniel R. Lewin, Technion LECTURE SIX 054402 DESIGN AND ANALYSIS Section B: Algorithmic Methods 3 DESIGN AND ANALYSIS - (c) Daniel R. Lewin 6 - Azeotropic Distillation Introduction Separation sequences are complicated by the presence of azeotropes, often involving mixtures of oxygenated organic compounds: n Alcohols o Ketones p Ethers q Acids r Water In these cases, distillation boundaries limit the product compositions of a column to lie within a bounded region ÖPrevent the removal of certain species in high concentrations 4 2 DESIGN AND ANALYSIS - (c) Daniel R. Lewin 6 - Azeotropic Distillation Daniel R. Lewin, Technion LECTURE SIX 054402 DESIGN AND ANALYSIS Instructional Objectives When you have finished studying this unit, you should: Be able to sketch the residue curves on a tertiary phase diagram Be able to define the range of possible product compositions using distillation, given the feed composition and the tertiary phase diagram Be able to define the PFD for homogeneous and heterogeneous azeotropic distillation systems Be able to define the PFD for a pressure swing distillation system 5 DESIGN AND ANALYSIS - (c) Daniel R. Lewin 6 - Azeotropic Distillation Basics: The Lever Rule 6 3 DESIGN AND ANALYSIS - (c) Daniel R. Lewin 6 - Azeotropic Distillation Daniel R. Lewin, Technion LECTURE SIX 054402 DESIGN AND ANALYSIS Basics: 3-Phase Diagrams 0.2 DTBP 0.15 H2O 7 DESIGN AND ANALYSIS - (c) Daniel R. Lewin 6 - Azeotropic Distillation Basics: 3-Phase Diagrams (Cont’d) 8 4 DESIGN AND ANALYSIS - (c) Daniel R. Lewin 6 - Azeotropic Distillation Daniel R. Lewin, Technion LECTURE SIX 054402 DESIGN AND ANALYSIS Homogeneous Azeotropes At equilibrium: _ V _ L j j f = f yφ P = xγ f V j j j L j j yP = xP yP = xP s 1 1 1 2 2 2 s P = x P + x P = x P + (1 − x )P s s 1 1 s 2 2 1 1 1 s 2 = P + ( P − P )x s 2 s 1 s 2 1 At fixed temperature 9 DESIGN AND ANALYSIS - (c) Daniel R. Lewin 6 - Azeotropic Distillation Homogeneous Azeotropes (Cont’d) Example – Phase diagrams for benzene-toluene mixture at 90 oC 10 5 DESIGN AND ANALYSIS - (c) Daniel R. Lewin 6 - Azeotropic Distillation Daniel R. Lewin, Technion LECTURE SIX 054402 DESIGN AND ANALYSIS Homogeneous Azeotropes (Cont’d) For non-ideal mixtures, the activity coefficients are different from unity: yP = xγ P yP = xγ P S 1 1 1 1 2 2 2 P = x γ P + (1 − x ) γ P s 1 1 1 1 S 2 s 2 2 If γ > 1 the mixture has a minimum-boiling azeotrope i Example – Phase diagrams for Isopropyl ether-Isopropyl alcohol 11 DESIGN AND ANALYSIS - (c) Daniel R. Lewin 6 - Azeotropic Distillation Homogeneous Azeotropes (Cont’d) For non-ideal mixtures, the activity coefficients are different from unity: yP = xγ P yP = xγ P S 1 1 1 1 2 2 2 P = x γ P + (1 − x ) γ P s 1 1 1 1 S 2 s 2 2 If γ < 1 the mixture has a maximum-boiling azeotrope i Example – Phase diagrams for Acetone-Chloroform 12 6 DESIGN AND ANALYSIS - (c) Daniel R. Lewin 6 - Azeotropic Distillation Daniel R. Lewin, Technion LECTURE SIX 054402 DESIGN AND ANALYSIS Heterogeneous Azeotropes For a minimum-boiling azeotrope with large deviation from Raoult’s law ( γ 1 ), phase splitting may occur and a minimum-boiling heterogeneous azeotrope forms, having a vapor phase in equilibrium with two liquid phases. i Homogeneous Azeotrope 13 Heterogeneous Azeotrope DESIGN AND ANALYSIS - (c) Daniel R. Lewin 6 - Azeotropic Distillation Residue Curves Distillation still Mass balance on species j: Lx = ( ∆L ) y + ( L − ∆L )( x + ∆x ), j = 1,… , C − 1 j j j j As ∆L → 0: Lx = y dL + Lx + Ldx − x dL − dLdx , j = 1,… , C − 1 j j j Rearranging: j dx j dL / L j = x − y = x (1 − K {T, P, x, y }) j dx j ∧ dt 14 7 j j j j − − = x −y j j DESIGN AND ANALYSIS - (c) Daniel R. Lewin 6 - Azeotropic Distillation Daniel R. Lewin, Technion LECTURE SIX 054402 DESIGN AND ANALYSIS Residue Curves (Cont’d) dx j ∧ dt = x −y j j Residue curves for zeotropic system 15 Residue curves for Azeotropic system DESIGN AND ANALYSIS - (c) Daniel R. Lewin 6 - Azeotropic Distillation Residue Curves ≡ Liquid Compositions at Total Reflux Species balance on top n-1 trays: L x + Dx = Vy n −1 n −1 n D n Approximation for liquid phase: dx ≈ x −x dh n n n −1 Substituting: dx V D ≈ x − y + x dh L L n n n n D n −1 Rectifying section of distillation column At total reflux, D = 0 and Vn = Ln-1 dx ≈ x −y dh n n 16 8 n −1 n DESIGN AND ANALYSIS - (c) Daniel R. Lewin 6 - Azeotropic Distillation Daniel R. Lewin, Technion LECTURE SIX 054402 DESIGN AND ANALYSIS Sketching Residue Curves (Exercise) dx j ∧ dt 17 = x −y j j DESIGN AND ANALYSIS - (c) Daniel R. Lewin 6 - Azeotropic Distillation Product Composition Regions for Zeotropic Systems 18 9 DESIGN AND ANALYSIS - (c) Daniel R. Lewin 6 - Azeotropic Distillation Daniel R. Lewin, Technion LECTURE SIX 054402 DESIGN AND ANALYSIS Product Composition Regions for Azeotropic Systems 19 DESIGN AND ANALYSIS - (c) Daniel R. Lewin 6 - Azeotropic Distillation Heterogeneous Azeotropic Distillation Example: Dehydration of Ethanol Try toluene as an entrainer 20 10 DESIGN AND ANALYSIS - (c) Daniel R. Lewin 6 - Azeotropic Distillation Daniel R. Lewin, Technion LECTURE SIX 054402 DESIGN AND ANALYSIS S2 F M1 D2 D1 S1 M2 B1 B2 D1 M2 M1 S1 S2 21 D2 DESIGN AND ANALYSIS - (c) Daniel R. Lewin 6 - Azeotropic Distillation Pressure-swing Distillation 22 11 DESIGN AND ANALYSIS - (c) Daniel R. Lewin 6 - Azeotropic Distillation Daniel R. Lewin, Technion LECTURE SIX 054402 DESIGN AND ANALYSIS Pressure-swing Distillation (Cont’d) Example: Dehydration of Tetrahydrofuran (THF) T-x-y diagrams for THF and water 23 DESIGN AND ANALYSIS - (c) Daniel R. Lewin 6 - Azeotropic Distillation Azeotropic Distillation - Summary On completing this unit, you should: Be able to sketch the residue curves on a tertiary phase diagram Be able to define the range of possible product compositions using distillation, given the feed composition and the tertiary phase diagram Be able to define the PFD for homogeneous and heterogeneous azeotropic distillation systems Be able to define the PFD for a pressure swing distillation system Next week: HEN Synthesis 24 12 DESIGN AND ANALYSIS - (c) Daniel R. Lewin 6 - Azeotropic Distillation Daniel R. Lewin, Technion