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C
HEMICAL
E
NGINEERING 132A
Professor Todd Squires
Spring Quarter, 2007
Homework 3
Due Friday, May 11
Problem 1.
This problem is designed to help you think carefully about setting up ODEs. It is a beeFer version of
Problem 4 on the midterm exam, that brings in additional subtleties. It is a good idea to make sure you know how
to set up and solve this kind of problem.
You have two tanks – call them A and B – each of which contains 20 gallons of clean water. You pump salt water
with concentration
c
(
t
) into tank A at the rate of 10 gallons/second. You pump salt water with concentration
d
(
t
)
into tank B at 10 gallons/second. A pipe carries salt water from tank A to tank B at a rate of 20 gallons/second, and
a second pipe carries salt water from B to A at a rate of 10 gallons/second. ±inally, a pipe carries the ‘Fnal’ product
out of tank B at a rate of 20 gallons/second.
a.
Draw a diagram of the situation, clearly labelling the ²ow rates, volumes, concentrations, etc.
b.
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This note was uploaded on 12/29/2011 for the course CHE 132a taught by Professor Gordon,m during the Fall '08 term at UCSB.
 Fall '08
 Gordon,M
 Chemical Engineering

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