In a 1 L batch reactor, 1 mol/L carbonic acid decomposes into carbon dioxide and water at room temperature and atmospheric pressure. An online system of gas chromatography has recorded the concentration of carbonic acid, CA, carbon dioxide, CP and water, Cs over a period of 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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In a 1 L batch reactor, 1 mol/L carbonic acid decomposes into carbon dioxide and
water at room temperature and atmospheric pressure. An online system of gas
chromatography has recorded the concentration of carbonic acid, CA, carbon
dioxide, CP and water, Cs over a period of time.
+ (5) 60
CA
(mol/L)
CP
(mol/L)
Cs
(mol/L)
120
0.74 0.548
180
0.026 0.15
0.406
240 0 300 360
0.306
0.223
0.162
0.172 0.300 0.395 0.465 0.517 0.556
0.258 0.27
420
0.122
480 540 600 660
0.090 0.067 0.05 0.035 0.025
0.585 0.606 0.621
720
0.292 0.3
0.633 0.648 0.65
0.301 0.316 0.324 0.32
1. Write a possible chemical reaction equation and general rate law for this
reaction. State the classification of this reaction.
2. The rate constant and reaction order of this decomposition reaction can be
evaluated using a differential graphical analysis method. State the overall order of
the reaction and compare the value of chemical reaction rate constant obtained
from these two methods.
3. Express the rate law based on concentration and conversion obtained from a
well organized stoichiometric table presented in your answer.
Transcribed Image Text:In a 1 L batch reactor, 1 mol/L carbonic acid decomposes into carbon dioxide and water at room temperature and atmospheric pressure. An online system of gas chromatography has recorded the concentration of carbonic acid, CA, carbon dioxide, CP and water, Cs over a period of time. + (5) 60 CA (mol/L) CP (mol/L) Cs (mol/L) 120 0.74 0.548 180 0.026 0.15 0.406 240 0 300 360 0.306 0.223 0.162 0.172 0.300 0.395 0.465 0.517 0.556 0.258 0.27 420 0.122 480 540 600 660 0.090 0.067 0.05 0.035 0.025 0.585 0.606 0.621 720 0.292 0.3 0.633 0.648 0.65 0.301 0.316 0.324 0.32 1. Write a possible chemical reaction equation and general rate law for this reaction. State the classification of this reaction. 2. The rate constant and reaction order of this decomposition reaction can be evaluated using a differential graphical analysis method. State the overall order of the reaction and compare the value of chemical reaction rate constant obtained from these two methods. 3. Express the rate law based on concentration and conversion obtained from a well organized stoichiometric table presented in your answer.
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