Due to the second midterm, we will have just one long problem set due
on Dec. 18. We
strongly suggest that you start on this unit soon.
At least do some Knight reading and some Learning Guide problems.
 It is a very good idea to warm up by doing
problems in 103 Learning Guides 11 and 12 after you've done the
required reading. LG 11
problems I, II, III, VI, and VII, and all the LG 12 problems
are the important ones.
Problems to turn in:
Problem 10.1 Fermi, pg 10, number 1
Problem 10.2 Fermi, pg 10, number 4
Problem 10.3 Fermi, pg 45, number 3
Problem 10.4 A vertical cylinder 2.5 m tall is filled
with 0.08 moles of an ideal gas at STP. Next, a piston of mass
1.5 kg is added to one end of the cylinder compressing the gas somewhat.
It seals the cylinder but is free to move vertically.
(1)What is the equilibrium height of the piston assuming that
the gas is isothermal. (2)The piston is now displaced slightly
and released. What is the frequency of oscillation?
Problem 10.5 Knight 1972
Problem 10.6 Entropy is a state variable.

 a) The lefthand pV diagram shows two
ways to bring an ideal gas from point a
to point c: directly along the isotherm ac,
or constant volume to point
b, then constant pressure to point c.
By directly calculating Delta S for the two paths,
show that the change in
entropy is the same for both.
 b) Optional: not for credit, but try it if you like.
You could do the same for the righthand diagram, where the isotherm
is replaced by an adiabat (and this changes the relations among the various
p's and V's). Instead, use the fact
that S is a state variable
to derive the form of the adiabat, that is,
the relation between p and V.
Note: we aren't pretending to discover this  it helps in your
manipulations to know what you are after.
Problem 10.7 An ideal diatomic gas is taken through the cycle
shown in the figure below. Determine for all three processes, in terms of
p_{1}, V_{1}, T_{1},
and R,

 a) p_{2}, p_{3}, T_{3}
 b) W, Q, Delta U,
and Delta S, all per mole.
Problem 10.8 One mole of a monatomic ideal gas is taken
through the reversible cycle shown in the (nottoscale) figure below.
Process
bc is an adiabatic expansion, with
p_{b}=10.0 atm and V_{b}=1.00×10
^{3} m^{3}. Find:

 a) the heat added to the gas,
 b) the heat leaving the gas,
 c) the net work done by the gas, and
 d) the efficiency of the cycle.
 e) What would the maximum possible
efficiency be for any engine operating between the same maximum and
minimum temperatures as this one?