#1: A Batch Reactor performs the following reaction A → R; -TA = 5.0 CO.75; -TA The initial concentration and the kinetic rate constant are given below: -0.75 hr-1 mole liter Cao = 2.75 k = 5.0 (mol) A) Write the batch reactor mole balance equation for concentration of specie A in the format below: Input-output generation=accumulation t₁ = - = -rav ?? B) The time required (in minutes) for a batch reactor to reach 90% conversion of A CA dCA NAO d NA dt??? dc TAV NA1 dCA dt mole L.hr ?? → CAO = -k

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
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a and b please

#1: A Batch Reactor performs the following reaction
A → R;
-TA = 5.0 CO.75;
The initial concentration and the kinetic rate constant are given below:
-0.75 hr-1
mole
liter
Input-output+generation=accumulation
t₁
=
Cao = 2.75
A) Write the batch reactor mole balance equation for concentration of specie A in the format
below:
k = 5.0
NA1
-TA
dCA
dt
CA dCA
NAO d NA
B) The time required (in minutes) for a batch reactor to reach 90% conversion of A
dc
TAV
(mol)
?? →
=
= -rav ??
CAO
mole
L.hr
= -k
fat
dt???
Transcribed Image Text:#1: A Batch Reactor performs the following reaction A → R; -TA = 5.0 CO.75; The initial concentration and the kinetic rate constant are given below: -0.75 hr-1 mole liter Input-output+generation=accumulation t₁ = Cao = 2.75 A) Write the batch reactor mole balance equation for concentration of specie A in the format below: k = 5.0 NA1 -TA dCA dt CA dCA NAO d NA B) The time required (in minutes) for a batch reactor to reach 90% conversion of A dc TAV (mol) ?? → = = -rav ?? CAO mole L.hr = -k fat dt???
Expert Solution
Step 1: Introduction to the question:

The batch reactor rate expression is,

negative straight r subscript straight A space equals space 5.0 space straight C subscript straight A to the power of 0.75 end exponent

The initial concentration, CA0 = 2.75 mol/L

Rate constant, k = 5.0 open parentheses mol over straight L close parentheses to the power of 0.25 end exponent hr to the power of negative 1 end exponent

Since this is a batch reactor so there is no inlet and outlet stream. the reactant is present in the reactor and converted to product.

It is assumed that the reaction is liquid phase and so there is no change in volume (V) of the reaction mixture.

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