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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.


T90 (K)

L (J/mol)

T90 (K)

L (J/mol)
0.00 59.83 2.35 91.71
0.05 60.87 2.40 91.98
0.10 61.91 2.45 92.24
0.15 62.95 2.50 92.50
0.20 64.00 2.55 92.74
0.25 65.04 2.60 92.97
0.30 66.08 2.65 93.18
0.35 67.13 2.70 93.38
0.40 68.17 2.75 93.56
0.45 69.21 2.80 93.71
0.50 70.24 2.85 93.85
0.55 71.28 2.90 93.96
0.60 72.31 2.95 94.05
0.65 73.33 3.00 94.11
0.70 74.35 3.05 94.14
0.75 75.37 3.10 94.14
0.80 76.38 3.15 94.11
0.85 77.38 3.20 94.05
0.90 78.37 3.25 93.94
0.95 79.36 3.30 93.80
1.00 80.33 3.35 93.63
1.05 81.30 3.40 93.41
1.10 82.26 3.45 93.14
1.15 83.21 3.50 92.84
1.20 84.14 3.55 92.48
1.25 85.06 3.60 92.08
1.30 85.97 3.65 91.63
1.35 86.87 3.70 91.13
1.40 87.73 3.75 90.58
1.45 88.56 3.80 89.97
1.50 89.35 3.85 89.31
1.55 90.09 3.90 88.59
1.60 90.77 3.95 87.82
1.65 91.38 4.00 87.00
1.70 91.91 4.05 86.13
1.75 92.36 4.10 85.20
1.80 92.72 4.15 84.22
1.85 92.98 4.20 83.19
1.90 93.13 4.25 82.11
1.95 93.16 4.30 80.98
2.00 93.07 4.35 79.80
2.05 92.80 4.40 78.57
2.10 92.27 4.45 77.27
2.18 90.75 4.50 75.86
2.18 90.75 4.55 74.32
2.18 90.75 4.60 72.59
2.18 90.75 4.65 70.64
2.18 90.74 4.70 68.44
2.18 90.74 4.75 65.94
2.18 90.74 4.80 63.11
2.18 90.74 4.85 59.90
2.18 90.73 4.90 56.28
2.18 90.73 4.95 52.22
2.18 90.73 5.00 47.67
2.20 90.87 5.05 42.59
2.25 91.15 5.10 36.95
2.30

91.43 5.15 29.34

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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