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Chemistry 342
Spring 2006, February 3
First Exam
1.
Find n, m and A for which the differential
dz = [cos(y) + x
n
] dx + A x
m
sin(y) dy
can represent the total differential of a state variable and calculate how much does
this variable change between the points (x,y) = (0,0) and (x,y) = (1,1).
2.
A good diver fills his lungs with 5 L of air and swims to the depth of 50 m.
(assume that his lungs can freely expand/contract and air is an ideal gas;
1 mole = 22.4 L at the standard conditions above the water surface).
a) Assuming that the gas stays in the diver’s lungs and his temperature
is constant, what is the volume of his lungs at the depth of 50 m?
b) Consider now that another diver passes him at 50 m a breathing device and
the diver fills his lungs with 5 L of gas at the pressure around, what would be
the volume of the diver’s lungs above water, if all the gas is kept inside?
c) If your system is the gas in his lungs, what is the work, heat,
Δ
U,
Δ
H
associated with the first process (going down)?
d) What is the (approximate) work done in c) if air is described by the van der
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This note was uploaded on 09/23/2010 for the course CHEM 342 taught by Professor Prestonsnee during the Spring '08 term at Ill. Chicago.
 Spring '08
 PRESTONSNEE
 Chemistry, Physical chemistry, pH

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