CHE 230: Problem Set 8
Consider the following data set for the height of a liquid in a tank as a function of time
Time (min)
Height (ft)
0.5
1.2
1
2.6
1.5
3.2
2
3.0
2.5
2.8
3
2.4
A. Convert the data to SI units (height in meters, time in seconds)
B. Fit t

CH E 230: Problem Set 1
Table 1 below shows vapor pressure data for 3 liquids (the values in the Table are the
temperatures corresponding to different vapor pressures). Thus, the vapor pressure of oxygen is
10 mm Hg at a temperature of 61.6 K. According t

CHE 230: Problem Set 5
Set up a Mathematica notebook with proper title, your name, etc. for Problem Set 5. Set off the
actual problems below by defining a separate section.
1) Resolve the equations for Problem 1 in Problem Set 4 in Mathematica. It is fine

Solver Func,on
Find Minima of a Mul-variate Func-on, min[f(x)]
Example: Antoine Equa-on relates vapor pressure and temperature of
pure components.
Nonlinear Least Squares Regression: Find parameters such that the
sum

CHE 230: Problem Set 6
1) The transient mass balance equations for a tank that is being filled at a constant flow rate and
being drained by gravity can be written in the following form:
dh
= 18 h
dt
The tank is initially empty. Use DSolve to derive an exp

CHE 230: Problem Set 4
Consider the material balance equations for a drip coffee maker. The coffee maker is designed
to process 1 L of water. The filter is originally filled with freshly ground coffee containing 2%
of soluble coffee components and 98% ins

CHE 230: Problem Set 3
1) Many equations of state describing the thermodynamic properties of different compounds are
cubic expressions with multiple roots. For example, the Redlich-Kwong equation of state
can be written as:
V=
RT
a(V b)
+b
P
PV (V + b)
wh

CHE 230: Problem Set 7
1) The steady-state one-dimensional heat conduction equation in a rod can be written as:
k
d 2T
qx
h(T To ) = o
2
dx
L
where T is the absolute temperature and x is the position along the length of the rod (of total
length L), k is

CHE 230: Problem Set 2
The Clausius-Clapeyron equation is often used to determine the latent heat of vaporization,
Hvap:
ln ( P
vap
H vap
) = RT + k
where Pvap is the vapor pressure, T the absolute temperature (in Kelvin), and R is the ideal gas
constant.