The elementary series reaction, in liquid phase, is carried out in a 500 dm3 batch reactor. The concentration of A at the beginning of the reaction is 1.6 mol/dm3. The desired

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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The elementary series reaction, in liquid phase, is carried out in a 500 dm3 batch reactor. The concentration of A at the beginning of the reaction is 1.6 mol/dm3. The desired product is B and the separation of the unwanted product C is very difficult and expensive. Consider isothermal operation at 100°C.

A (k1)→ B (k2)→C

Reagent A cost: U$ 10/mol of A
Cost to separate A from B: $50/mol of A
Cost to separate C from B: U$ 30*(exp(0.5*Cc-1))
Selling price of pure B: U$ 50/mol of B

Kinetic data:
k1=0.4 h-1 at 100ºC
k2=0.01 h-1 at 100ºC

a) Plot the concentrations of A, B and C as a function of time;
b) Calculate the time in which the reaction must be stopped to reach the concentration
maximum of B;
c) Calculate the time in which the reaction must be stopped to reach maximum profit

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