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|
The
Observed Properties of Liquid Helium
at the Saturated Vapor
Pressure
Chapter
16. Latent Heat of Vaporization
Adopted Database
Author(s) |
Key # |
Range(Å-1) |
Van
Dijk and Durieux |
1 |
1
T
4.2 |
Berman
and Poulter |
2 |
1.5
T
4.2 |
Dana
and Onnes |
3 |
2.2
T
5.18 |
Ter
Harmsel et al. |
4 |
2.2
T
4.9 |
Theory
|
5 |
0
T 0.9 |
Comments and Key to Authors
1)
Ref. 3. Discussion of data from references 1 - 3.
2) Ref. 2. Uncertainties:0.1%
.
3) Ref. 1. Pioneering qualitative measurements.
4) Ref. 4. Uncertainties: Random 0.1%
, systematic 0.03%.
5) The latent heat at absolute zero is taken as Lo = 59.83 J/mol. At low
temperatures, L=Lo+(5/2)RT which was used to 0.9 K. Here, R
= 8.31451 J/mol-K.
.
Table
16.1. Adopted database for latent heat of vaporization of liquid 4He.
T90 (K) |
L (J/mol) |
Key |
T90 (K) |
L (J/mol) |
Key |
0.0000 |
59.83 |
5
|
2.4049
|
91.91 |
2 |
0.1000
|
61.91
|
5
|
2.4049
|
92.50 |
3 |
0.2000 |
63.99
|
5
|
2.4049 |
91.94 |
4 |
0.3000
|
66.07
|
5
|
2.5052
|
92.92 |
1 |
0.4000
|
68.14
|
5 |
2.5052 |
92.46 |
2 |
0.5000 |
70.22 |
5 |
2.5052
|
92.45 |
4 |
0.6000
|
72.30 |
5 |
2.6054 |
92.98 |
4 |
0.7000 |
74.38 |
5 |
2.6054
|
92.80
|
1 |
0.8000 |
76.46 |
5
|
2.6054
|
92.95 |
2 |
0.9000 |
78.54 |
5 |
2.6054 |
93.40 |
3 |
1.0028
|
80.22
|
1
|
2.7057
|
93.25 |
1 |
1.1030
|
82.22 |
1
|
2.7057
|
93.31 |
2 |
1.2033 |
84.17 |
1
|
2.7057
|
93.50
|
4 |
1.3033
|
86.03
|
1
|
2.8060
|
93.58
|
1 |
1.4035 |
87.76 |
1 |
2.8060 |
93.59
|
2 |
1.5036 |
89.36 |
1
|
2.8060
|
94.20 |
3 |
1.5036
|
89.70
|
2
|
2.8060
|
93.89
|
4 |
1.6037
|
90.74
|
1
|
2.9061
|
93.81
|
1 |
1.6037 |
90.86 |
2
|
2.9061 |
93.81 |
2 |
1.7039
|
91.88 |
1
|
2.9061
|
94.16
|
4 |
1.7039 |
91.92 |
2 |
3.0063 |
93.91 |
1 |
1.8041 |
92.72 |
1 |
3.0063
|
93.90 |
2 |
1.8041
|
92.72
|
2
|
3.0063 |
94.70 |
3 |
1.9042
|
93.17 |
1 |
3.0063 |
94.29 |
4 |
1.9042
|
93.13
|
2
|
3.1064
|
93.90 |
1 |
2.0042
|
93.13
|
1
|
3.1064
|
93.90 |
2 |
2.0042
|
93.01 |
2 |
3.1064
|
94.30 |
4 |
2.1044
|
92.32 |
1 |
3.2066 |
93.75 |
1 |
2.1044
|
92.03
|
2
|
3.2066 |
93.78 |
2 |
2.1546 |
91.47 |
1
|
3.2066
|
94.60 |
3 |
2.1546
|
91.16 |
2 |
3.2066
|
94.19
|
4 |
2.1646
|
91.21
|
1
|
3.3067
|
93.44
|
1 |
2.1646
|
90.98 |
2 |
3.3067
|
93.50
|
2 |
2.1748
|
90.86 |
1
|
3.3067 |
93.95 |
4 |
2.1748
|
90.79
|
2
|
3.4069
|
92.99
|
1 |
2.1946
|
90.75
|
1 |
3.4069 |
93.06 |
2 |
2.1946
|
90.71
|
2
|
3.4069 |
93.90 |
3 |
2.2046
|
90.75 |
1 |
3.4069
|
93.56 |
4 |
2.2046 |
90.77 |
2
|
3.5070 |
92.42
|
1 |
2.2046 |
91.40 |
3 |
3.5070 |
92.46 |
2 |
2.2046 |
91.07
|
4
|
3.5070 |
92.99 |
4 |
2.2546
|
90.91
|
1
|
3.6070 |
91.64 |
1 |
2.2546 |
91.05 |
2 |
3.6070
|
91.67 |
2 |
2.3047 |
91.16 |
1 |
3.6070 |
92.70
|
3 |
2.3047 |
91.34
|
2
|
3.6070
|
92.27 |
4 |
2.3047 |
91.51 |
4 |
3.7071 |
90.71
|
1 |
2.4049
|
91.73 |
1 |
3.7071 |
90.71 |
2 |
Figure 16.1. The recommended
values for the latent heat of vaporization of liquid 4He as a function
of temperature at the saturated vapor pressure.
Table 16.2. Knots and coefficients
for the spline fit of the latent heat of vaporization of liquid 4He.
Knots |
Coefficients |
K(1)
= 0.000000 |
C(1)
= 59.82983 |
K(2)
= 0.000000 |
C(2)
= 68.59642 |
K(3)
= 0.000000 |
C(3)
= 82.78576 |
K(4)
= 0.000000 |
C(4)
= 94.70215 |
K(5)
= 1.268000 |
C(5)
= 92.50350 |
K(6)
= 1.980630 |
C(6)
= 90.73236 |
K(7)
= 2.176800 |
C(7)
= 93.68727 |
K(8)
= 2.176800 |
C(8)
= 97.81899 |
K(9)
= 2.176800 |
C(9)
= 80.05877 |
K(10)
= 3.726500 |
C(10)
= 64.58454 |
K(11)
= 4.378900 |
C(11)
= 29.47641 |
K(12)
= 5.106127 |
C(12)
= 15.94783 |
K(13)
= 5.178168 |
C(13)
= 3.110047E-04 |
K(14)
= 5.195767 |
|
K(15)
= 5.195767 |
|
K(16)
= 5.195767 |
|
K(17)
= 5.195767 |
|
Figure
16.2. Detail of the recommended values latent heat of vaporization about
the lambda transition.
Table
16.3. Recommended values of the latent heat of vaporization of liquid
4He as a function of temperature at the saturated vapor pressure.
Figure
16.3. The fractional deviation of values of the adopted database from
the recommended values for the latent heat expressed in percent.
Chronological Bibliography for Mutual Friction
1 |
L. I. Dana and K. H. Onnes, "Further Experiments with Liquid Helium.
B. A. Preliminary Determinations of the Latent Heat of Vaporization
of Liquid Helium," Proc. Roy. Acad. Amsterdam 29, 1051-1061 (1926). |
2 |
R.
Berman and J. Poulter, “On the Latent Heat and Vapour Density
of Helium,” Phil. Mag. 43, 1047-1054 (1952). |
3 |
H.
Van Dijk and M. Durieux, “The Temperature Scale in the Liquid
Helium Region,” in Progress in Low Temperature Physics,
edited by C. J. Gorter (North Holland, 1957), Vol. 2, pp. 431-464. |
4 |
H.
Ter Harmsel, H. Van Dijk, and M. Durieux, “The Heat of Vaporization
of Helium,” Physica 36, 620-636 (1967). |
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