Homework G
PHY3513
Due:
April 20, 2011
1.
(28.1)
2.
Consider the isotherm at
T
as shown in the figure.
At the point
A
, the substance is a
mixture of liquid and vapor.
Suppose that the masses of liquid and vapor are
m
l
and
m
v
,
respectively, and
m
=
m
l
+
m
v
.
The volume occupied by the mixture at
A
is
m
l
v
l
+ m
v
v
)
l
v
where
v
l
and
v
v
are the specific volumes of the liquid and vapor.
Show that
()(
llv
mv v
ν
−=
−
.
This relation is known as the
lever rule
.
The ratio
is gives you the quality of the
mixture.
/
v
mm
liquid
A
vapor
V
p
3.
Show using the ClausiusClapeyron equation for melting that the ice point of water
(273.15 K) at atmospheric pressure is 0.01 K below the triple point (273.16 K) which
occurs at a pressure of 4.58 Torr. The density of pure water is 1000 kg m
3
and the
density of ice is 916 kg m
3
. The latent heat of melting is 3.34
×
10
5
J kg
1
.
4.
The equations of the sublimation and vaporization curves of a particular substance are
given by:
l
n
p
= 0.04 – 6/
T
(sublimation)
l
n
p
= 0.03 – 4/
T
(vaporization)
where
p
is in atmospheres.
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 Fall '08
 Staff
 Physics, Thermodynamics, Mass, Work, Triple point, glass bulb, 0.01 K

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