Process Dynamics And Control, 4e
Process Dynamics And Control, 4e
16th Edition
ISBN: 9781119385561
Author: Seborg, Dale E.
Publisher: WILEY
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Chapter 6, Problem 6.25E

The staged system model for a three-stage absorber presented in Eqs. 2-73−2-75, which are instate-space form. A numerical example of the absorber model suggested by Wong and Luus has thefollowing parameters: H = 75.72 lb , L = 40.8 lb / min , G = 66.7 lb / min , a = 0.72 , and b = 0.0 . Using the MATLABfunction ss2tf calculate the three transfer functions ( Y 1 / Y f , Y 2 / Y f , Y 3 / Y f ) for the three state variablesand the feed composition deviation Y f as the input.

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In the production of ethyl acetate via reactive distillation, the column operates at 5 bar with an equimolar feed (ethanol + acetic acid) at 80°C. The reaction follows: \[CH_3COOH + C_2H_5OH \rightleftharpoons CH_3COOC_2H_5 + H_2O \quad (K_{eq} = 4.2 \text{ at } 80°C)\] Given: - NRTL parameters for all binary pairs - Tray efficiency = 65% - Vapor-liquid equilibrium exhibits positive azeotrope formation Calculate the exact minimum reflux ratio required to achieve 98% ethyl acetate purity in the distillate, assuming: 1) The reaction reaches equilibrium on each tray 2) The heavy key component is water
In a multi-stage distillation column designed to separate a binary mixture of ethanol and water, the mass flow rate of the feed entering the column is \( F \), and the distillate product flow rate is \( D \). The reflux ratio \( R \) is defined as the ratio of the liquid returned to the column to the distillate flow rate. For the ideal case, where the column operates at maximum efficiency, determine the **minimum reflux ratio** \( R_{\text{min}} \) when the relative volatility \( \alpha = 1.5 \).
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