ParaHydrogen#

References#

Equation of State#

J.W. Leachman, R.T. Jacobsen, S.G. Penoncello, and E.W. Lemmon. Fundamental Equations of State for Parahydrogen, Normal Hydrogen, and Orthohydrogen. J. Phys. Chem. Ref. Data, 38(3):721–748, 2009. doi:10.1063/1.3160306.

Thermal Conductivity#

M. J. Assael, J.-A. M. Assael, M. L. Huber, R. A. Perkins, and Y. Takata. Correlation of the Thermal Conductivity of Normal and Parahydrogen from the Triple Point to 1000 K and up to 100 MPa. J. Phys. Chem. Ref. Data, 40(3):033101–1:13, 2011. doi:10.1063/1.3606499.

Viscosity#

Chris D. Muzny, Marcia L. Huber, and Andrei F. Kazakov. Correlation for the viscosity of normal hydrogen obtained from symbolic regression. J. Chem. Eng. Data, 2013. doi:10.1021/je301273j.

Melting Line#

Ben A Younglove. Thermophysical properties of fluids. I. Argon, ethylene, parahydrogen, nitrogen, nitrogen trifluoride, and oxygen. Technical Report, DTIC Document, 1982.

Surface Tension#

A. Mulero, I. Cachadiña, and M. I. Parra. Recommended Correlations for the Surface Tension of Common Fluids. J. Phys. Chem. Ref. Data, 41(4):043105–1:13, 2012. doi:10.1063/1.4768782.

Aliases#

Parahydrogen, parahydrogen, PARAHYDROGEN, PARAHYD

Fluid Information#

Parameter, Value

General

Molar mass [kg/mol]

0.00201588

CAS number

1333-74-0p

ASHRAE class

UNKNOWN

Formula

N/A

Acentric factor

-0.219

InChI

N/A

InChIKey

N/A

SMILES

N/A

ChemSpider ID

-1

Limits

Maximum temperature [K]

1000.0

Maximum pressure [Pa]

2000000000.0

Triple point

Triple point temperature [K]

13.8033

Triple point pressure [Pa]

7041.086751499288

Critical point

Critical point temperature [K]

32.93785506891549

Critical point density [kg/m3]

31.315436013623735

Critical point density [mol/m3]

15534.375068765868

Critical point pressure [Pa]

1285776.1785274085

REFPROP Validation Data#

Note

This figure compares the results generated from CoolProp and those generated from REFPROP. They are all results obtained in the form \(Y(T,\rho)\), where \(Y\) is the parameter of interest and which for all EOS is a direct evaluation of the EOS

You can download the script that generated the following figure here: (link to script), right-click the link and then save as… or the equivalent in your browser. You can also download this figure as a PDF.

../../_images/ParaHydrogen.png

Consistency Plots#

The following figure shows all the flash routines that are available for this fluid. A red + is a failure of the flash routine, a black dot is a success. Hopefully you will only see black dots. The red curve is the maximum temperature curve, and the blue curve is the melting line if one is available for the fluid.

In this figure, we start off with a state point given by T,P and then we calculate each of the other possible output pairs in turn, and then try to re-calculate T,P from the new input pair. If we don’t arrive back at the original T,P values, there is a problem in the flash routine in CoolProp. For more information on how these figures were generated, see CoolProp.Plots.ConsistencyPlots

Note

You can download the script that generated the following figure here: (link to script), right-click the link and then save as… or the equivalent in your browser. You can also download this figure as a PDF.

../../_images/ParaHydrogen1.png

Flash consistency (HEOS): 35 inconsistent, 0 exceptions, 0 bad-phase across 2 input pair(s).

Download full failure list (CSV)

Failing state points (sample, up to 20 per pair/class)

Pair

Class

Region

P [Pa]

T [K]

In1

Val1

In2

Val2

Error

DmolarP

INCONSISTENT

1phase

2e+09

228.836

Dmolar

87024.9

P

2e+09

DmolarP

INCONSISTENT

1phase

2e+09

400.205

Dmolar

81172.9

P

2e+09

DmolarP

INCONSISTENT

1phase

2e+09

335.942

Dmolar

83257.5

P

2e+09

DmolarP

INCONSISTENT

1phase

2e+09

207.414

Dmolar

87820.1

P

2e+09

DmolarP

INCONSISTENT

1phase

1.44981e+09

181.761

Dmolar

81712.6

P

1.44981e+09

DmolarP

INCONSISTENT

1phase

2e+09

185.993

Dmolar

88625.6

P

2e+09

DmolarP

INCONSISTENT

1phase

2e+09

421.627

Dmolar

80506.2

P

2e+09

DmolarP

INCONSISTENT

1phase

2e+09

314.52

Dmolar

83981.4

P

2e+09

DmolarP

INCONSISTENT

1phase

1.44981e+09

225.99

Dmolar

79781.8

P

1.44981e+09

DmolarP

INCONSISTENT

1phase

2e+09

443.048

Dmolar

79852.8

P

2e+09

DmolarP

INCONSISTENT

1phase

2e+09

271.678

Dmolar

85474

P

2e+09

DmolarP

INCONSISTENT

1phase

2e+09

164.572

Dmolar

89437.4

P

2e+09

DmolarP

INCONSISTENT

1phase

2e+09

293.099

Dmolar

84720.3

P

2e+09

DmolarP

INCONSISTENT

1phase

2e+09

357.363

Dmolar

82548.2

P

2e+09

DmolarP

INCONSISTENT

1phase

1.44981e+09

137.531

Dmolar

83702.8

P

1.44981e+09

DmolarP

INCONSISTENT

1phase

2e+09

250.257

Dmolar

86242.4

P

2e+09

DmolarP

INCONSISTENT

1phase

2e+09

378.784

Dmolar

81853.5

P

2e+09

DmolarP

INCONSISTENT

1phase

1.44981e+09

203.875

Dmolar

80737.1

P

1.44981e+09

DmolarP

INCONSISTENT

1phase

1.44981e+09

159.646

Dmolar

82703.9

P

1.44981e+09

DmolarP

INCONSISTENT

1phase

2e+09

464.469

Dmolar

79212.6

P

2e+09

DmolarSmolar

INCONSISTENT

1phase

2e+09

314.52

Dmolar

83981.4

Smolar

31.3773

DmolarSmolar

INCONSISTENT

1phase

2e+09

293.099

Dmolar

84720.3

Smolar

29.0435

DmolarSmolar

INCONSISTENT

1phase

2e+09

271.678

Dmolar

85474

Smolar

26.511

DmolarSmolar

INCONSISTENT

1phase

2e+09

250.257

Dmolar

86242.4

Smolar

23.7411

DmolarSmolar

INCONSISTENT

1phase

1.44981e+09

203.875

Dmolar

80737.1

Smolar

19.8081

DmolarSmolar

INCONSISTENT

1phase

2e+09

228.836

Dmolar

87024.9

Smolar

20.685

DmolarSmolar

INCONSISTENT

1phase

1.44981e+09

181.761

Dmolar

81712.6

Smolar

15.7744

DmolarSmolar

INCONSISTENT

1phase

2e+09

207.414

Dmolar

87820.1

Smolar

17.2847

DmolarSmolar

INCONSISTENT

1phase

1.05097e+09

137.745

Dmolar

77136.2

Smolar

9.24419

DmolarSmolar

INCONSISTENT

1phase

1.44981e+09

159.646

Dmolar

82703.9

Smolar

11.2275

DmolarSmolar

INCONSISTENT

1phase

2e+09

185.993

Dmolar

88625.6

Smolar

13.4782

DmolarSmolar

INCONSISTENT

1phase

1.44981e+09

137.531

Dmolar

83702.8

Smolar

6.16984

DmolarSmolar

INCONSISTENT

1phase

1.05097e+09

115.054

Dmolar

78349

Smolar

3.54986

DmolarSmolar

INCONSISTENT

1phase

2e+09

164.572

Dmolar

89437.4

Smolar

9.21589

DmolarSmolar

INCONSISTENT

1phase

7.61852e+08

96.3867

Dmolar

73380.8

Smolar

1.53825

Superancillary Plots#

The following figure shows the accuracy of the superancillary functions relative to extended precision calculations carried out in C++ with the teqp library. The results of the iterative calculations with REFPROP and CoolProp are also shown.

Note

You can download the script that generated the following figure here: (link to script), right-click the link and then save as… or the equivalent in your browser. You can also download this figure as a PDF.

../../_images/ParaHydrogen2.png