212. The ideal gas heat capacity can be expressed as a power series in terms of temperature
according to
23
12
3
4
5
p
CA
A
T
A
T
A
T
A
=
++++
4
T
In this dimensionally incorrect equation, the units of
C
are joule/(mol
p
o
K), and the units of
temperature are degrees Kelvin.
For chlorine the values of the coefficients are:
,
,
1
22.85
A
=
2
0.06543
A
=
4
3
1.2517
10
A
−
=−
×
,
7
4
1.1484
10
A
−
=×
, and
.
What are
the units of the coefficients?
Find the values of the coefficients to compute the heat capacity of
chlorine in cal/gr C, using temperature in degrees Rankine.
11
5
4.0946
10
A
−
×
212. To obtain a dimensionally correct form for the heat capacity, each term in the
representation must have the same units. Given the molecular mass of chlorine,
, and the conversion factors from Table 24, 1
and
70.91 g/mol
MW
=
cal
4.186 joule
=
()
1 K
9 5 R
=
, we can follow the procedure outlined in the previous problem to obtain
1
joule
cal
mol
K
cal
22.85
0.07698
mol K
4.186 joule
70.91 g
C
g C
A
×
=
4
2
2
joule
cal
mol
5 K
cal
0.06543
1.225 10
mol K
4.186 joule
70.91 g
9 C
g C R
A
×
=
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 Winter '10
 B.G.Higgins
 Energy, Absolute Zero, Heat, Kelvin, Thermodynamic temperature

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