Q.1:
Q.2:
Q.3:
Q.4
Repeat above problem if
(a)
( )
(b)
( )
(
)
Q.5:
Q.6:
Linearization example:
Arrhenius equation:
where is steady state value.
If the numerical values are given at steady state: e.g.
Examples:

. (22.2 (20 points) : Consider a tank process with input flow rate R; and output flow
rate of Pg. The tank has constant crosssectional area: A 2 hag, and the ow out of the
tank is known to be a linear function. of the height of liquid in the tank (F0 : Cu

Problems:
1.
2.
3.
4.
5.
Exercise 3.2
Exercise 4.1
Exercise 4.2
Exercise 4.14
Exercise 4.15
3.1
4.1
4.2
4.14
Q.3 (10 points) :Exercise 5.14 in the text book (Seborg et. al.).
Solution:
We have
b = 11.2 mm - 8 mm = 3.2 mm
a = 12.7 mm - 11.2 mm = 1.5 mm
P =

Q.2: Your family has got a new house and you have been assigned to find models for
its two swimming pools. Figure 1 shows the schematic of the pools. Water is pumped
into Pool 1 and the inlet flow rate can be manipulated. Pool 1 has a constant hold up
(th

Q.1 (10 marks): For the following tank process, nd the dynamic relation between
Mt) and Fs-(t).
F TV.
1
F,T
Figure 2: Schematic of a swimming pool. Standard notations for volume (V), temperature
(T) and ow rate (F) are used.
Solution:
As the outlet ow lin