Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

A cascade of three isothermal CSTRs in series is used to carry out a liquid - phase reaction. A k B The dynamic equations that

A cascade of three isothermal CSTRs in series is used to carry out a liquid-phase reaction.
AkB
The dynamic equations that govern the system are given by carrying out the molar balance
for component A for each CSTR: Accumulation = In - Out + Generation-Consumption
V(i)dCA(i)dt=FCA(i-1)-FCA(i)-kCA(i)V(i), for i=1,2,3.
Using the residence time =VF the equation can be transformed to
dCA(i)dt=1iCA(i-1)-(1i+ki)CA(i), for ,i=1,2,3.
If we set up the left-hand side of each equation to zero, then we will end up with a set
of three linear algebraic equations that describe the three CSTRs under a state-state
condition. Notice that each CSTR has its own residence time and rate constant.
Assume: 1=1s;2=2s;3=3s;CA0=100molL;k1=1s-1;k2=2s-1;k3=3s-1
1.1 Compute the set of linear equations in a matrix/vector form as [10 Marks]
Ax=b
image text in transcribed

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Fundamentals Of Momentum Heat And Mass Transfer

Authors: James Welty, Gregory L. Rorrer, David G. Foster

6th Edition

1118947460, 978-1118947463

More Books

Students also viewed these Chemical Engineering questions

Question

This is a previous test that I took. I need help with it

Answered: 1 week ago