t (min) P (atm) 50 100 150 200 250 300 2.35 1.78 1.44 1.20 1.04 0.916 0.817 Rate law of the above reaction respond to -rA=KCA°CBP, in which B is zero order with respect to oxygen. Given R as 0.082 atm. dm/mol. K. Determine the reaction order and the rate constant using numerical method (differentiation).

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
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How to find the reaction order and rate constant by using numerical method differentiation?

According to the reaction equation below, a gas phase reaction was carried out
in an isothermal batch reactor to produce chlorine (Cl2) and water (H2O) in the
Deacon process.
4HCI + 02 → 2C12 + 2H20
With a total pressure of 4.7 atm and a reaction temperature of 300 °C, an equal
molar of HCl and 02 is supplied into the reactor. The following experimental
results were collected from a constant batch reactor volume using HCl as the
limiting reactant.
Table 1 Experimental data in an isothermal batch reactor
200
250
t (min)
P (atm)
50
100
150
300
2.35
1.78
1.44
1.20
1.04
0.916
0.817
Rate law of the above reaction respond to -rA=KCA°CBP, in which B is zero order with
respect to oxygen. Given R as 0.082 atm. dm/mol. K.
Determine the reaction order and the rate constant using numerical method
(differentiation).
Transcribed Image Text:According to the reaction equation below, a gas phase reaction was carried out in an isothermal batch reactor to produce chlorine (Cl2) and water (H2O) in the Deacon process. 4HCI + 02 → 2C12 + 2H20 With a total pressure of 4.7 atm and a reaction temperature of 300 °C, an equal molar of HCl and 02 is supplied into the reactor. The following experimental results were collected from a constant batch reactor volume using HCl as the limiting reactant. Table 1 Experimental data in an isothermal batch reactor 200 250 t (min) P (atm) 50 100 150 300 2.35 1.78 1.44 1.20 1.04 0.916 0.817 Rate law of the above reaction respond to -rA=KCA°CBP, in which B is zero order with respect to oxygen. Given R as 0.082 atm. dm/mol. K. Determine the reaction order and the rate constant using numerical method (differentiation).
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