3. A gas phase reaction with stoichiometry 2A → 2B + C follows second order rate law; TA = -kC (mol/L.s] k= 0.204 L/mol.s at 980 K Suppose the reaction is carried out in a batch reactor of constant volume V(m³) at a constant temperature T (K), beginning with pure A at a concentration of CAo. a) Write a differential balance on A and integrate it to obtain an expression for Ca(t) in terms of CAO and k. b) Suppose the reaction is carried out at 980 K, beginning with a mixture at 1.20 atm containing 70mole% A and the balance a chemically inert gas. How long (minutes) will it take to achieve a 90% conversion of A? c) Plot the change in concentration of A vs time.
3. A gas phase reaction with stoichiometry 2A → 2B + C follows second order rate law; TA = -kC (mol/L.s] k= 0.204 L/mol.s at 980 K Suppose the reaction is carried out in a batch reactor of constant volume V(m³) at a constant temperature T (K), beginning with pure A at a concentration of CAo. a) Write a differential balance on A and integrate it to obtain an expression for Ca(t) in terms of CAO and k. b) Suppose the reaction is carried out at 980 K, beginning with a mixture at 1.20 atm containing 70mole% A and the balance a chemically inert gas. How long (minutes) will it take to achieve a 90% conversion of A? c) Plot the change in concentration of A vs time.
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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![3. A gas phase reaction with stoichiometry 2A → 2B + C follows second order rate
law;
TA = -kC (mol/L.s]
k= 0.204 L/mol.s at 980 K
Suppose the reaction is carried out in a batch reactor of constant volume V(m³) at a
constant temperature T (K), beginning with pure A at a concentration of CAo.
a) Write a differential balance on A and integrate it to obtain an expression for
CA(t) in terms of CAo and k.
b) Suppose the reaction is carried out at 980 K, beginning with a mixture at 1.20
atm containing 70mole% A and the balance a chemically inert gas. How long
(minutes) will it take to achieve a 90% conversion of A?
c) Plot the change in concentration of A vs time.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3516e233-9e19-437d-961a-9e7543b5446e%2Fa3281eaf-4cfd-4d78-95a0-204c638e142a%2F2g5ff1n_processed.png&w=3840&q=75)
Transcribed Image Text:3. A gas phase reaction with stoichiometry 2A → 2B + C follows second order rate
law;
TA = -kC (mol/L.s]
k= 0.204 L/mol.s at 980 K
Suppose the reaction is carried out in a batch reactor of constant volume V(m³) at a
constant temperature T (K), beginning with pure A at a concentration of CAo.
a) Write a differential balance on A and integrate it to obtain an expression for
CA(t) in terms of CAo and k.
b) Suppose the reaction is carried out at 980 K, beginning with a mixture at 1.20
atm containing 70mole% A and the balance a chemically inert gas. How long
(minutes) will it take to achieve a 90% conversion of A?
c) Plot the change in concentration of A vs time.
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