Chem 338 Homework Set 5 Solutions Workseet Page 4
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55.15) The vapor pressure of mercury at 20ºC is 160 mPa; what is its vapor pressure at
-1
50ºC given that its enthalpy of vaporization is 59.30 kJ mol
?
Using the integrated Clausius-Clapeyron eqn.:
∆
H
1
1
vap
=
+
−
ln ' ln
p
p
R
T
T
'
(
)
3
×
59 30 10
.
1
1
−
3
=
×
+
−
ln
160 10
8 31451
.
293 15
.
323 15
.
=
0 42605
.
=
p
'
1 53
.
Pa
5.17) Estimate the boiling point of benzene given that its vapor pressure is 20 kPa at
35ºC and 50.0 kPa at 58.8ºC.
1st find ∆H
from the data using the integrated C-C equation:
vap
p
'
50
R
ln
( .
9 31451
) ln
p
20
∆H
=
=
=
32744 J / mol
vap
1
1
1
1
−
−
T
T
'
308 15
.
331 95
.
The boiling point is defined as the temperature when the vapor pressure is equal to 1
atm or 101.325 kPa :
Solving for T’ and using one of the data points given:
−
1
p
'
R
ln
1
p
=
−
T
'
∆
T
H
vap
−
1
101 325
.
( .
8 31451
) ln
1
50 0
.
=
−
331 95
.
32744
=
353
K
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