International Thermodynamic Tables of the Fluid State Helium-4

List of Figures

Tables in Text

Preface

Introduction

Symbols

Units and Conversion Factors


1. Experimental Results


1.1 Temperature Scale


1.2 The Phase Diagram


1.3 Invariant Points


1.3.1 The Lambda Points


1.3.2 The Triple Points


1.4 Two-phase Regions


1.4.1 The Lambda Curve


1.4.2 Melting Curve


1.4.3 Critical Point


1.4.4 Saturation Curve


1.5 Single-phase Region


1.5.1 Density


1.5.2 Second Virial Coefficient


1.5.3 Isochoric Heat Capacity


1.5.4 Joule-Thomson Coefficient


1.5.5 Speed of Sound


1.6 Ideal Gas Properties


1.6.1 Heat Capacities


1.6.2 Entropy


1.6.3 Enthalpy and Internal Energy


2. The Equation of State


2.1 The Estimation of the Second Virial Coefficient


2.2 The Estimation of the Coefficients for Equation (14A)


2.3 The Estimation of the Coefficients for Equation (14B)


2.4 The Estimation of the Coefficients for Equation (14C)


2.5 The Critical Region


3. The IUPAC Tables


3.1 Physical Constants


3.2 Construction of the Tables


3.2.1 Entropy


3.2.2 Enthalpy and Internal Energy


3.2.3 Isochoric Heat Capacity


3.2.4 Isobaric Heat Capacity


3.2.5 Eugacity


3.2.6 Speed of Sound


3.2.7 Virial Coefficients


3.2.8 Saturation Properties


3.2.9 Melting Curve


3.2.10 Lambda Curve


3.3 Limits of the Tables


3.4 Use and Accuracy of the Tables


3.5 Recommendations for Improvement of the Tables

Acknowledgements

References

Ideal Gas Properties

Table 1. Molar Entropy and Enthalpy Temperature Range, 2.5 K to 1400 K

Zero-pressure Properties

Table 1. Isothermal Enthalpy-Pressure Coefficient, Second Virial Coefficient and Speed of Sound Temperature Range, 2.5 K to 1400 K

Single-phase Properties

Table 2. Molar Volume, Entropy, Enthalpy and Isobaric Heat Capacity Pressure Range, 0.001 MPa to 70 MPa; 0.001 MPa to 25 MPa Temperature Range, 2.5 K to 450 K; 500 K to 1400 K

Table 3. Density, Compression Factor, Fugacity/Pressure Ratio and Speed of Sound Pressure Range, 0.001 MPa to 70 MPa; 0.001 MPa to 25MPa Temperature Range, 2.5 K to 450 K; 500 K to 1400 K

Table 4. Pressure, Molar Entropy, Internal Energy and Isochoric Heat Capacity Density Range, Wmolm3 to 70000molm'3 Temperature Range, 2.5 K to 1400 K

Properties on the Saturation Curve

Table 5. Pressure, Molar Volume, Enthalpy and Entropy of Gas and Liquid Phases Temperature Range, TL (2.177 3 K) to Tc (5.201 4 K)

Table 6. Temperature, Molar Volume, Enthalpy and Entropy of Gas and Liquid Phases Pressure Range, PL (0.005040 MPa) to Pc (0.22746 MPa)

Properties on the Melting Curve from the (a-y-I) Triple Point to the (a-0-1) Triple Point

Table 7. Pressure, Molar Volume, Entropy and Enthalpy of the Liquid Phase Temperature Range, 1.777 8 K to 14.9 K

Table 8. Temperature, Molar Volume, Entropy and Enthalpy of the Liquid Phase Pressure Range, 3.043 MPa to 110 MPa

Properties on the Lambda Curve

Table 9. Pressure and Molar Volume as a Function of Temperature Temperature Range, Tv (1.767 8 K) to TL (2.177 3 K)

Table 10. Temperature and Molar Volume as a Function of Pressure Pressure Range, PL (0.005040 MPa) to Pv (3.013 MPa)