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Michigan State University
DEPARTMENT OF CHEMICAL ENGINEERING AND MATERIALS SCIENCE
CHE 210: Modeling and Analysis of Transport Phenomena
Fall 2007
Quiz 1:
Solution
1. A 10.0ft
3
compressedair is filled by adding air at a rate of 0.0117 lbmole/s at a constant
temperature of 72
o
F. Derive the equation for the number of lbmoles of air in the tank
[
N(t)
]
at
any time
t
. Calculate the number of moles of
oxygen
in the tank after two minutes.
Solution
: The balance on the tank gives:
Accumulation = input
OR
0.0117;
0 at
0
dN
Nt
dt
=
==
Integration of the equation gives the expression required:
()
00
0.0117
0.0117
dN
dt
N t
t
=⇒
=
∫∫
Since air is 21 mol% O
2
, we calculate:
2
lbmol
s
0.0117
2 min. 60
1.40lbmol
sm
i
n
.
O
N
=⋅
⋅
=
2. An electrical coil is used to heat 20.0 kg of water in a closed wellinsulated vessel. The water
is initially at 25
o
C and 1 atm. The coil delivers a constant power of 2.50 kW to the vessel and its
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This note was uploaded on 05/21/2008 for the course CHE 210 taught by Professor Robertofoli during the Fall '07 term at Michigan State University.
 Fall '07
 RobertOfoli
 Chemical Engineering, Materials Science, Mole, pH

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