lemmon_2006
===========

E\. W\. Lemmon and R\. Span, "Short Fundamental Equations of State for 20 Industrial Fluids", J\. Chem\. Eng\. Data 51, 785 \(2006\)

`Source record <https://github.com/LupoLab/optmat/blob/main/src/optmat/data/sources/lemmon_2006.toml>`__ · :doc:`Catalogue </the-data/sources>` · :doc:`Review register </register>`

DOI: `10\.1021/je050186n <https://doi.org/10.1021/je050186n>`__

**Source kind:** fit

**Recorded technique:** Short \(twelve\-term\) Helmholtz\-energy equations of state of one functional form for twenty fluids, among them krypton, xenon, nitrous oxide and carbon monoxide, fitted to thermodynamic data\.

**Materials in structured entries:** N2O

**Dataset quantities:** None recorded.

**Contents:** 0 datasets; 1 formula.

Curation notes
--------------

Identity VALIDATED by the library\. Printed pp\. 785\-850; pages cited are pdf pages\.

IDEAL GAS AND CONSTANTS\: R = 8\.314472 J/\(mol K\) \(p\. 5\)\. The ideal\-gas heat capacity \(Eq\. 10, p\. 5\) is c\_p0/R = c0 \+ sum\_k v\_k \(u\_k/T\)^2 exp\(u\_k/T\)/\(exp\(u\_k/T\) \- 1\)^2\. Krypton\: M = 83\.798 g/mol, c0 = 5/2 and no Einstein terms, 115\.77\-750 K, 200 MPa\. Xenon\: M = 131\.293, c0 = 5/2, 161\.4\-750 K, 700 MPa\. Nitrous oxide\: M = 44\.0128, c0 = 3\.5, \(v, u/K\) = \(2\.1769, 879\.0\), \(1\.6145, 2372\.0\), \(0\.48393, 5447\.0\), 182\.33\-525 K, 50 MPa\. Carbon monoxide\: M = 28\.0101\. No uncertainty of c\_p0 is stated\.

AGAINST COOLPROP 8\.0\.0 \(reference key Lemmon\-JCED\-2006\)\: the same M, R and ideal parts; for nitrous oxide Eq\. \(10\) with these constants equals CoolProp's c\_p0 to 2e\-16 at 200, 294 and 500 K \(computed 2026\-09\-30\)\.

**Recorded bibliographic identity status:** VALIDATED. This concerns identification of the source; it does not establish the scientific correctness of its contents.

Datasets
--------

No datasets are recorded.

Formulas
--------

lemmon\_2006/eq10\_N2O
~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "id": "eq10_N2O",
     "material": "N2O",
     "equation": "Eq. (10), p. 5 (pdf); the coefficient table",
     "printed": "c_p0/R = c0 + sum_k v_k (u_k/T)^2 exp(u_k/T)/(exp(u_k/T) - 1)^2",
     "variable": "T in K",
     "range": "182.33-525 K",
     "coefficients": {
       "c0": "3.5",
       "v1": "2.1769",
       "u1": "879.0",
       "v2": "1.6145",
       "u2": "2372.0",
       "v3": "0.48393",
       "u3": "5447.0"
     },
     "check": "CoolProp 8.0.0 equals it to 2e-16 (tests/test_transport.py)."
   }

Corrections
-----------

No dataset errata are recorded in this source record.

Formula corrections, where recorded, appear with their formulas above. Curation notes may also discuss corrections or unresolved interpretation. Consult the :doc:`review register </register>` for the checks and decisions.