PROCESS DYNAMIC+CONTROL-EBOOK>I<
PROCESS DYNAMIC+CONTROL-EBOOK>I<
4th Edition
ISBN: 2819480255712
Author: Seborg
Publisher: INTER WILE
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Chapter 3, Problem 3.8E

For the integro-differential equation,
d 2 x d t 2 + 4 d x d t + 3 x = 20 f t e τ d τ with d x d t ( 0 ) = x ( 0 ) = 0.
a. Find x ( t )
b. What is the limiting value of t and t ?

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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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