Aqueous A reacts to form R ( A R ) and in the first minute in a batch reactor its concentration drops from CA0 = 2.03 mol/liter to C = 1.97 mol/liter. Find the rate equation for the reaction if the kinetics are second order with respect to A.

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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Aqueous A reacts to form R ( A R ) and in the first minute in a batch reactor its concentration drops from CA0 = 2.03 mol/liter to C = 1.97 mol/liter. Find the rate equation for the reaction if the kinetics are second order with respect to A.

Soal LATIHAN
13 November 2020
2.6. A certain reaction has a rate given by
-TA = 0.005C;,
mol/cm³ · min
If the concentration is to be expressed in mol/liter and time in hours, what
would be the value and units of the rate constant?
2.7. For a gas reaction at 400 K the rate is reported as
_dpa
3.66p%,
dt
atm/hr
%3D
(a) What are the units of the rate constant?
(b) What is the value of the rate constant for this reaction if the rate
equation is expressed as
1 dNA
kC%,
V dt
-TA = -
mol/m³ · s
3.10. Aqueous A reacts to form R (A → R) and in the first minute in a batch
reactor its concentration drops from CA0 = 2.03 mol/liter to CAf
mol/liter. Find the rate equation for the reaction if the kinetics are second-
order with respect to A.
= 1.97
3.11. Aqueous A at a concentration CA0 = 1 mol/liter is introduced into a batch
reactor where it reacts away to form product R according to stoichiometry
A → R. The concentration of A in the reactor is monitored at various
times, as shown below:
%3D
t, min
CA, mol/m³
100 200
300
400
1000 500 333
250
200
For CA0 = 500 mol/m³ find the conversion of reactant after 5 hours in the
batch reactor.
3.12. Find the rate for the reaction of Problem 11.
3.15. At room temperature sucrose is hydrolyzed by the catalytic action of the
enzyme sucrase as follows:
sucrase
sucrose
products
Starting with a sucrose concentration C0 = 1.0 millimol/liter and an en-
zyme concentration Ceo = 0.01 millimol/liter, the following kinetic data
are obtained in a batch reactor (concentrations calculated from optical
rotation measurements):
CA, millimol/liter
t, hr
0.84 0.68 0.53 0.38 0.27 0.16 0.09 0.04 0.018 0.006 0.0025
1 2 3
4
5 6 7
8 9 10
11
Determine whether these data can be reasonably fitted by a kinetic equation
of the Michaelis–Menten type, or
k,C,CEO
Ca + Cm
where Cy = Michaelis constant
If the fit is reasonable, evaluate the constants k, and Cy. Solve by the
integral method.
3.16. Repeat the above problem, except this time solve by the differential
method.
Transcribed Image Text:Soal LATIHAN 13 November 2020 2.6. A certain reaction has a rate given by -TA = 0.005C;, mol/cm³ · min If the concentration is to be expressed in mol/liter and time in hours, what would be the value and units of the rate constant? 2.7. For a gas reaction at 400 K the rate is reported as _dpa 3.66p%, dt atm/hr %3D (a) What are the units of the rate constant? (b) What is the value of the rate constant for this reaction if the rate equation is expressed as 1 dNA kC%, V dt -TA = - mol/m³ · s 3.10. Aqueous A reacts to form R (A → R) and in the first minute in a batch reactor its concentration drops from CA0 = 2.03 mol/liter to CAf mol/liter. Find the rate equation for the reaction if the kinetics are second- order with respect to A. = 1.97 3.11. Aqueous A at a concentration CA0 = 1 mol/liter is introduced into a batch reactor where it reacts away to form product R according to stoichiometry A → R. The concentration of A in the reactor is monitored at various times, as shown below: %3D t, min CA, mol/m³ 100 200 300 400 1000 500 333 250 200 For CA0 = 500 mol/m³ find the conversion of reactant after 5 hours in the batch reactor. 3.12. Find the rate for the reaction of Problem 11. 3.15. At room temperature sucrose is hydrolyzed by the catalytic action of the enzyme sucrase as follows: sucrase sucrose products Starting with a sucrose concentration C0 = 1.0 millimol/liter and an en- zyme concentration Ceo = 0.01 millimol/liter, the following kinetic data are obtained in a batch reactor (concentrations calculated from optical rotation measurements): CA, millimol/liter t, hr 0.84 0.68 0.53 0.38 0.27 0.16 0.09 0.04 0.018 0.006 0.0025 1 2 3 4 5 6 7 8 9 10 11 Determine whether these data can be reasonably fitted by a kinetic equation of the Michaelis–Menten type, or k,C,CEO Ca + Cm where Cy = Michaelis constant If the fit is reasonable, evaluate the constants k, and Cy. Solve by the integral method. 3.16. Repeat the above problem, except this time solve by the differential method.
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