Review Problems
(1) Calculate the coe
ﬃ
cient of density expansion for a material of volume coe
ﬃ
cient
of expansion
β
; meaning
ρ
→
ρ
0
(1 +
γ
∆
T
), what is
γ
?
(2) (Problem 1849) Calculate the average number of collisions a molecule in an ideal
gas makes per second, called the
collision frequency
,
f
, in terms of
N
,
V
,
T
,
m
and
r
(the mass and radius of the molecules).
(3) A rod of crosssectional area
A
and length
l
has its left end held at constant
temperature
T
1
and its right end held at
T
2
< T
1
. If the conductivity varies with
distance from the left end,
x
, according to the relationship
k
=
x/R
+
k
0
(
R
and
k
0
are positive), what is the steadystate heat flow,
H
, through the rod?
(4) A blackbody sphere of radius
r
, mass
m
, specific heat
c
and initial temperature
T
0
is losing heat due to radiation.
What is the temperature of the sphere as a
function of time? Does the sphere ever reach absolute zero?
(5) (Problems 2049, 2079) We know that thermodynamic processes can be repre
sented on a PV diagram (when they are reversible) but they can also be repre
sented on a TS diagram (temperatureentropy diagram). (a) Draw a TS diagram
for a Carnot cycle. (b) What does the area within the curve represent? (c) Deter
mine the slope of the tangent to the curve on a TS diagram for a constant volume
process involving an deal gas of n moles with constantvolume molar specific heat
C
V
for some value of temperature
T
.
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 Fall '10
 yildiz
 Physics, Thermodynamics, Trigraph, Heat engine, Carnot cycle, T1 T2 T1

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