Homework #3
ChE 361
Spring 2010
Problem 1.
Consider a constant volume, continuous stirred tank in which two feed streams of
different binary compositions are mixed. The first feed stream has mass flow rate
w
1
and mass
fraction
x
1
, and the second feed stream has mass flow rate
w
2
and mass fraction
x
2
. The outlet
stream has mass flow rate
w
and mass fraction
x
. Assume that liquid density
ρ
and volume
V
are constant. The parameter values are:
w
1
= 1 kg/min,
x
1
= 0.8,
w
2
= 3 kg/min,
x
1
= 0.4,
ρV
= 2 kg.
1. (20 pts) Derive the following model equation by writing the necessary material balances:
dx
dt
=
f
(
x
)
2. Show that the steady state outlet mass fraction is ¯
x
= 0.5. Verify your answer with Matlab.
Problem 2. Consider a constant volume, continuous stirred tank reactor in which the following
irreversible reaction sequence occurs:
A
→
B
,
B
→
C
, 2
A
→
D
. The reaction rate constants are
denoted
k
1
(first reaction),
k
2
(second reaction) and
k
3
(third reaction). Let
C
A
,
C
B
,
C
C
, and
C
D
denote the molar concentrations of the four reaction species. The reaction rates per unit volume
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '10
 HENSON
 Thermodynamics, Steady State, Mass flow rate, Reaction rate constant

Click to edit the document details