Heat Capacity (thermo.heat_capacity)

This module contains implementations of TDependentProperty representing liquid, vapor, and solid heat capacity. A variety of estimation and data methods are available as included in the chemicals library. Additionally liquid, vapor, and solid mixture heat capacity predictor objects are implemented subclassing MixtureProperty.

For reporting bugs, adding feature requests, or submitting pull requests, please use the GitHub issue tracker.

Pure Liquid Heat Capacity

class thermo.heat_capacity.HeatCapacityLiquid(CASRN='', MW=None, similarity_variable=None, Tc=None, omega=None, Cpgm=None, extrapolation='linear', **kwargs)

Bases: thermo.utils.t_dependent_property.TDependentProperty

Class for dealing with liquid heat capacity as a function of temperature. Consists of seven coefficient-based methods, two constant methods, one tabular source, two CSP methods based on gas heat capacity, one simple estimator, and the external library CoolProp.

Parameters

CASRNstr, optional

The CAS number of the chemical

MWfloat, optional

Molecular weight, [g/mol]

similarity_variablefloat, optional

similarity variable, n_atoms/MW, [mol/g]

Tcfloat, optional

Critical temperature, [K]

omegafloat, optional

Acentric factor, [-]

Cpgmfloat or callable, optional

Idea-gas molar heat capacity at T or callable for the same, [J/mol/K]

load_databool, optional

If False, do not load property coefficients from data sources in files [-]

extrapolationstr or None

None to not extrapolate; see TDependentProperty for a full list of all options, [-]

methodstr or None, optional

If specified, use this method by default and do not use the ranked sorting; an exception is raised if this is not a valid method for the provided inputs, [-]

See also

chemicals.heat_capacity.Zabransky_quasi_polynomial

chemicals.heat_capacity.Zabransky_cubic

chemicals.heat_capacity.Rowlinson_Poling

chemicals.heat_capacity.Rowlinson_Bondi

chemicals.heat_capacity.Dadgostar_Shaw

chemicals.heat_capacity.Shomate

Notes

A string holding each method’s name is assigned to the following variables in this module, intended as the most convenient way to refer to a method. To iterate over all methods, use the list stored in heat_capacity_liquid_methods.

ZABRANSKY_SPLINE, ZABRANSKY_QUASIPOLYNOMIAL, ZABRANSKY_SPLINE_C, and ZABRANSKY_QUASIPOLYNOMIAL_C:

Rigorous expressions developed in [1] following critical evaluation of the available data. The spline methods use the form described in Zabransky_cubic over short ranges with varying coefficients to obtain a wider range. The quasi-polynomial methods use the form described in Zabransky_quasi_polynomial, more suitable for extrapolation, and over then entire range. Respectively, there is data available for 588, 146, 51, and 26 chemicals. ‘C’ denotes constant- pressure data available from more precise experiments. The others are heat capacity values averaged over a temperature changed.

ZABRANSKY_SPLINE_SAT and ZABRANSKY_QUASIPOLYNOMIAL_SAT:

Rigorous expressions developed in [1] following critical evaluation of the available data. The spline method use the form described in Zabransky_cubic over short ranges with varying coefficients to obtain a wider range. The quasi-polynomial method use the form described in Zabransky_quasi_polynomial, more suitable for extrapolation, and over their entire range. Respectively, there is data available for 203, and 16 chemicals. Note that these methods are for the saturation curve!

VDI_TABULAR:

Tabular data up to the critical point available in [5]. Note that this data is along the saturation curve.

ROWLINSON_POLING:

CSP method described in Rowlinson_Poling. Requires a ideal gas heat capacity value at the same temperature as it is to be calculated.

ROWLINSON_BONDI:

CSP method described in Rowlinson_Bondi. Requires a ideal gas heat capacity value at the same temperature as it is to be calculated.

COOLPROP:

CoolProp external library; with select fluids from its library. Range is limited to that of the equations of state it uses, as described in [3]. Very slow.

DADGOSTAR_SHAW:

A basic estimation method using the similarity variable concept; requires only molecular structure, so is very convenient. See Dadgostar_Shaw for details.

POLING_CONST:

Constant values in [2] at 298.15 K; available for 245 liquids.

CRCSTD:

Constant values tabulated in [4] at 298.15 K; data is available for 433 liquids.

WEBBOOK_SHOMATE:

Shomate form coefficients from [6] for ~200 compounds.

References

1(1,2)

Zabransky, M., V. Ruzicka Jr, V. Majer, and Eugene S. Domalski. Heat Capacity of Liquids: Critical Review and Recommended Values. 2 Volume Set. Washington, D.C.: Amer Inst of Physics, 1996.

2

Poling, Bruce E. The Properties of Gases and Liquids. 5th edition. New York: McGraw-Hill Professional, 2000.

3

Bell, Ian H., Jorrit Wronski, Sylvain Quoilin, and Vincent Lemort. “Pure and Pseudo-Pure Fluid Thermophysical Property Evaluation and the Open-Source Thermophysical Property Library CoolProp.” Industrial & Engineering Chemistry Research 53, no. 6 (February 12, 2014): 2498-2508. doi:10.1021/ie4033999. http://www.coolprop.org/

4

Haynes, W.M., Thomas J. Bruno, and David R. Lide. CRC Handbook of Chemistry and Physics. [Boca Raton, FL]: CRC press, 2014.

5

Gesellschaft, V. D. I., ed. VDI Heat Atlas. 2nd edition. Berlin; New York:: Springer, 2010.

6

Shen, V.K., Siderius, D.W., Krekelberg, W.P., and Hatch, H.W., Eds., NIST WebBook, NIST, http://doi.org/10.18434/T4M88Q

Examples

>>> CpLiquid = HeatCapacityLiquid(CASRN='142-82-5', MW=100.2, similarity_variable=0.2295, Tc=540.2, omega=0.3457, Cpgm=165.2)

Methods

calculate(T, method)	Method to calculate heat capacity of a liquid at temperature T with a given method.
test_method_validity(T, method)	Method to check the validity of a method.

calculate(T, method)

Method to calculate heat capacity of a liquid at temperature T with a given method.

This method has no exception handling; see T_dependent_property for that.

Parameters

Tfloat

Temperature at which to calculate heat capacity, [K]

methodstr

Name of the method to use

Returns

Cpfloat

Heat capacity of the liquid at T, [J/mol/K]

name = 'Liquid heat capacity'

property_max = 10000.0

Maximum valid of Heat capacity; arbitrarily set. For fluids very near the critical point, this value can be obscenely high.

property_min = 1

Allow very low heat capacities; arbitrarily set; liquid heat capacity should always be somewhat substantial.

ranked_methods = ['ZABRANSKY_SPLINE', 'ZABRANSKY_QUASIPOLYNOMIAL', 'ZABRANSKY_SPLINE_C', 'ZABRANSKY_QUASIPOLYNOMIAL_C', 'ZABRANSKY_SPLINE_SAT', 'ZABRANSKY_QUASIPOLYNOMIAL_SAT', 'WEBBOOK_SHOMATE', 'VDI_TABULAR', 'COOLPROP', 'DADGOSTAR_SHAW', 'ROWLINSON_POLING', 'ROWLINSON_BONDI', 'POLING_CONST', 'CRCSTD']

Default rankings of the available methods.

test_method_validity(T, method)

Method to check the validity of a method. Follows the given ranges for all coefficient-based methods. For the CSP method Rowlinson_Poling, the model is considered valid for all temperatures. The simple method Dadgostar_Shaw is considered valid for all temperatures. For tabular data, extrapolation outside of the range is used if tabular_extrapolation_permitted is set; if it is, the extrapolation is considered valid for all temperatures.

It is not guaranteed that a method will work or give an accurate prediction simply because this method considers the method valid.

Parameters

Tfloat

Temperature at which to test the method, [K]

methodstr

Name of the method to test

Returns

validitybool

Whether or not a method is valid

units = 'J/mol/K'

thermo.heat_capacity.heat_capacity_liquid_methods = ['ZABRANSKY_SPLINE', 'ZABRANSKY_QUASIPOLYNOMIAL', 'ZABRANSKY_SPLINE_C', 'ZABRANSKY_QUASIPOLYNOMIAL_C', 'ZABRANSKY_SPLINE_SAT', 'ZABRANSKY_QUASIPOLYNOMIAL_SAT', 'WEBBOOK_SHOMATE', 'VDI_TABULAR', 'ROWLINSON_POLING', 'ROWLINSON_BONDI', 'COOLPROP', 'DADGOSTAR_SHAW', 'POLING_CONST', 'CRCSTD']

Holds all methods available for the HeatCapacityLiquid class, for use in iterating over them.

Pure Gas Heat Capacity

class thermo.heat_capacity.HeatCapacityGas(CASRN='', MW=None, similarity_variable=None, extrapolation='linear', iscyclic_aliphatic=False, **kwargs)

Bases: thermo.utils.t_dependent_property.TDependentProperty

Class for dealing with gas heat capacity as a function of temperature. Consists of three coefficient-based methods, two constant methods, one tabular source, one simple estimator, one group-contribution estimator, one component specific method, and the external library CoolProp.

Parameters

CASRNstr, optional

The CAS number of the chemical

MWfloat, optional

Molecular weight, [g/mol]

similarity_variablefloat, optional

similarity variable, n_atoms/MW, [mol/g]

load_databool, optional

If False, do not load property coefficients from data sources in files [-]

extrapolationstr or None

None to not extrapolate; see TDependentProperty for a full list of all options, [-]

methodstr or None, optional

If specified, use this method by default and do not use the ranked sorting; an exception is raised if this is not a valid method for the provided inputs, [-]

See also

chemicals.heat_capacity.TRCCp

chemicals.heat_capacity.Shomate

chemicals.heat_capacity.Lastovka_Shaw

chemicals.heat_capacity.Rowlinson_Poling

chemicals.heat_capacity.Rowlinson_Bondi

thermo.joback.Joback

Notes

A string holding each method’s name is assigned to the following variables in this module, intended as the most convenient way to refer to a method. To iterate over all methods, use the list stored in heat_capacity_gas_methods.

TRCIG:

A rigorous expression derived in [1] for modeling gas heat capacity. Coefficients for 1961 chemicals are available.

POLING_POLY:

Simple polynomials in [2] not suitable for extrapolation. Data is available for 308 chemicals.

COOLPROP:

CoolProp external library; with select fluids from its library. Range is limited to that of the equations of state it uses, as described in [3]. The heat capacity and enthalpy are implemented analytically and fairly fast; the entropy integral has no analytical integral and so is numerical. CoolProp’s amazing coefficient collection is used directly in Python.

LASTOVKA_SHAW:

A basic estimation method using the similarity variable concept; requires only molecular structure, so is very convenient. See Lastovka_Shaw for details.

CRCSTD:

Constant values tabulated in [4] at 298.15 K; data is available for 533 gases.

POLING_CONST:

Constant values in [2] at 298.15 K; available for 348 gases.

VDI_TABULAR:

Tabular data up to the critical point available in [5]. Note that this data is along the saturation curve.

WEBBOOK_SHOMATE:

Shomate form coefficients from [6] for ~700 compounds.

JOBACK:

An estimation method for organic substances in [7]

References

1

Kabo, G. J., and G. N. Roganov. Thermodynamics of Organic Compounds in the Gas State, Volume II: V. 2. College Station, Tex: CRC Press, 1994.

2(1,2)

Poling, Bruce E. The Properties of Gases and Liquids. 5th edition. New York: McGraw-Hill Professional, 2000.

3

Bell, Ian H., Jorrit Wronski, Sylvain Quoilin, and Vincent Lemort. “Pure and Pseudo-Pure Fluid Thermophysical Property Evaluation and the Open-Source Thermophysical Property Library CoolProp.” Industrial & Engineering Chemistry Research 53, no. 6 (February 12, 2014): 2498-2508. doi:10.1021/ie4033999. http://www.coolprop.org/

4

Haynes, W.M., Thomas J. Bruno, and David R. Lide. CRC Handbook of Chemistry and Physics. [Boca Raton, FL]: CRC press, 2014.

5

Gesellschaft, V. D. I., ed. VDI Heat Atlas. 2nd edition. Berlin; New York:: Springer, 2010.

6

Shen, V.K., Siderius, D.W., Krekelberg, W.P., and Hatch, H.W., Eds., NIST WebBook, NIST, http://doi.org/10.18434/T4M88Q

7

Joback, K.G., and R.C. Reid. “Estimation of Pure-Component Properties from Group-Contributions.” Chemical Engineering Communications 57, no. 1-6 (July 1, 1987): 233-43. doi:10.1080/00986448708960487.

Examples

>>> CpGas = HeatCapacityGas(CASRN='142-82-5', MW=100.2, similarity_variable=0.2295)
>>> CpGas(700)
317.244

Methods

calculate(T, method)	Method to calculate surface tension of a liquid at temperature T with a given method.
test_method_validity(T, method)	Method to test the validity of a specified method for a given temperature.

calculate(T, method)

Method to calculate surface tension of a liquid at temperature T with a given method.

This method has no exception handling; see T_dependent_property for that.

Parameters

Tfloat

Temperature at which to calculate heat capacity, [K]

methodstr

Method name to use

Returns

Cpfloat

Calculated heat capacity, [J/mol/K]

name = 'gas heat capacity'

property_max = 10000.0

Maximum valid of Heat capacity; arbitrarily set. For fluids very near the critical point, this value can be obscenely high.

property_min = 0

Heat capacities have a minimum value of 0 at 0 K.

ranked_methods = ['TRCIG', 'WEBBOOK_SHOMATE', 'POLING_POLY', 'COOLPROP', 'JOBACK', 'LASTOVKA_SHAW', 'CRCSTD', 'POLING_CONST', 'VDI_TABULAR']

Default rankings of the available methods.

test_method_validity(T, method)

Method to test the validity of a specified method for a given temperature.

‘TRC’ and ‘Poling’ both have minimum and maimum temperatures. The constant temperatures in POLING_CONST and CRCSTD are considered valid for 50 degrees around their specified temperatures. Lastovka_Shaw is considered valid for the whole range of temperatures.

It is not guaranteed that a method will work or give an accurate prediction simply because this method considers the method valid.

Parameters

Tfloat

Temperature at which to determine the validity of the method, [K]

methodstr

Name of the method to test

Returns

validitybool

Whether or not a specifid method is valid

units = 'J/mol/K'

thermo.heat_capacity.heat_capacity_gas_methods = ['COOLPROP', 'TRCIG', 'WEBBOOK_SHOMATE', 'POLING_POLY', 'LASTOVKA_SHAW', 'CRCSTD', 'POLING_CONST', 'JOBACK', 'VDI_TABULAR']

Holds all methods available for the HeatCapacityGas class, for use in iterating over them.

Pure Solid Heat Capacity

class thermo.heat_capacity.HeatCapacitySolid(CASRN='', similarity_variable=None, MW=None, extrapolation='linear', **kwargs)

Bases: thermo.utils.t_dependent_property.TDependentProperty

Class for dealing with solid heat capacity as a function of temperature. Consists of two temperature-dependent expressions, one constant value source, and one simple estimator.

Parameters

similarity_variablefloat, optional

similarity variable, n_atoms/MW, [mol/g]

MWfloat, optional

Molecular weight, [g/mol]

CASRNstr, optional

The CAS number of the chemical

load_databool, optional

If False, do not load property coefficients from data sources in files [-]

extrapolationstr or None

None to not extrapolate; see TDependentProperty for a full list of all options, [-]

methodstr or None, optional

If specified, use this method by default and do not use the ranked sorting; an exception is raised if this is not a valid method for the provided inputs, [-]

See also

chemicals.heat_capacity.Lastovka_solid

chemicals.heat_capacity.Shomate

Notes

A string holding each method’s name is assigned to the following variables in this module, intended as the most convenient way to refer to a method. To iterate over all methods, use the list stored in heat_capacity_solid_methods.

PERRY151:

Simple polynomials with vaious exponents selected for each expression. Coefficients are in units of calories/mol/K. The full expression is:

\[Cp = a + bT + c/T^2 + dT^2 \]

Data is available for 284 solids, from [2].

CRCSTD:

Values tabulated in [1] at 298.15 K; data is available for 529 solids.

LASTOVKA_S:

A basic estimation method using the similarity variable concept; requires only molecular structure, so is very convenient. See Lastovka_solid for details.

WEBBOOK_SHOMATE:

Shomate form coefficients from [3] for ~300 compounds.

References

1

Haynes, W.M., Thomas J. Bruno, and David R. Lide. CRC Handbook of Chemistry and Physics. [Boca Raton, FL]: CRC press, 2014.

2

Green, Don, and Robert Perry. Perry’s Chemical Engineers’ Handbook, Eighth Edition. McGraw-Hill Professional, 2007.

3

Shen, V.K., Siderius, D.W., Krekelberg, W.P., and Hatch, H.W., Eds., NIST WebBook, NIST, http://doi.org/10.18434/T4M88Q

Examples

>>> CpSolid = HeatCapacitySolid(CASRN='142-82-5', MW=100.2, similarity_variable=0.2295)
>>> CpSolid(200)
131.205824

Methods

calculate(T, method)	Method to calculate heat capacity of a solid at temperature T with a given method.
test_method_validity(T, method)	Method to check the validity of a method.

calculate(T, method)

Method to calculate heat capacity of a solid at temperature T with a given method.

This method has no exception handling; see T_dependent_property for that.

Parameters

Tfloat

Temperature at which to calculate heat capacity, [K]

methodstr

Name of the method to use

Returns

Cpfloat

Heat capacity of the solid at T, [J/mol/K]

name = 'solid heat capacity'

property_max = 10000.0

Maximum value of Heat capacity; arbitrarily set.

property_min = 0

Heat capacities have a minimum value of 0 at 0 K.

ranked_methods = ['WEBBOOK_SHOMATE', 'PERRY151', 'CRCSTD', 'LASTOVKA_S']

Default rankings of the available methods.

test_method_validity(T, method)

Method to check the validity of a method. Follows the given ranges for all coefficient-based methods. For tabular data, extrapolation outside of the range is used if tabular_extrapolation_permitted is set; if it is, the extrapolation is considered valid for all temperatures. For the Lastovka_solid method, it is considered valid under 10000K.

It is not guaranteed that a method will work or give an accurate prediction simply because this method considers the method valid.

Parameters

Tfloat

Temperature at which to test the method, [K]

methodstr

Name of the method to test

Returns

validitybool

Whether or not a method is valid

units = 'J/mol/K'

thermo.heat_capacity.heat_capacity_solid_methods = ['WEBBOOK_SHOMATE', 'PERRY151', 'CRCSTD', 'LASTOVKA_S']

Holds all methods available for the HeatCapacitySolid class, for use in iterating over them.

Mixture Liquid Heat Capacity

class thermo.heat_capacity.HeatCapacityLiquidMixture(MWs=[], CASs=[], HeatCapacityLiquids=[])

Bases: thermo.utils.mixture_property.MixtureProperty

Class for dealing with liquid heat capacity of a mixture as a function of temperature, pressure, and composition. Consists only of mole weighted averaging, and the Laliberte method for aqueous electrolyte solutions.

Parameters

MWslist[float], optional

Molecular weights of all species in the mixture, [g/mol]

CASsstr, optional

The CAS numbers of all species in the mixture

HeatCapacityLiquidslist[HeatCapacityLiquid], optional

HeatCapacityLiquid objects created for all species in the mixture [-]

Notes

To iterate over all methods, use the list stored in heat_capacity_liquid_mixture_methods.

LALIBERTE:

Electrolyte model equation with coefficients; see thermo.electrochem.Laliberte_heat_capacity for more details.

LINEAR:

Mixing rule described in mixing_simple.

Methods

calculate(T, P, zs, ws, method)	Method to calculate heat capacity of a liquid mixture at temperature T, pressure P, mole fractions zs and weight fractions ws with a given method.
test_method_validity(T, P, zs, ws, method)	Method to test the validity of a specified method for the given conditions.

Tmax

Maximum temperature at which no method can calculate the heat capacity above.

Tmin

Minimum temperature at which no method can calculate the heat capacity under.

calculate(T, P, zs, ws, method)

Method to calculate heat capacity of a liquid mixture at temperature T, pressure P, mole fractions zs and weight fractions ws with a given method.

This method has no exception handling; see mixture_property for that.

Parameters

Tfloat

Temperature at which to calculate the property, [K]

Pfloat

Pressure at which to calculate the property, [Pa]

zslist[float]

Mole fractions of all species in the mixture, [-]

wslist[float]

Weight fractions of all species in the mixture, [-]

methodstr

Name of the method to use

Returns

Cplmfloat

Molar heat capacity of the liquid mixture at the given conditions, [J/mol]

name = 'Liquid heat capacity'

property_max = 10000.0

Maximum valid of Heat capacity; arbitrarily set. For fluids very near the critical point, this value can be obscenely high.

property_min = 1

Allow very low heat capacities; arbitrarily set; liquid heat capacity should always be somewhat substantial.

ranked_methods = ['LALIBERTE', 'LINEAR']

test_method_validity(T, P, zs, ws, method)

Method to test the validity of a specified method for the given conditions. No methods have implemented checks or strict ranges of validity.

Parameters

Tfloat

Temperature at which to check method validity, [K]

Pfloat

Pressure at which to check method validity, [Pa]

zslist[float]

Mole fractions of all species in the mixture, [-]

wslist[float]

Weight fractions of all species in the mixture, [-]

methodstr

Method name to use

Returns

validitybool

Whether or not a specifid method is valid

units = 'J/mol'

thermo.heat_capacity.heat_capacity_liquid_mixture_methods = ['LALIBERTE', 'LINEAR']

Holds all methods available for the HeatCapacityLiquidMixture class, for use in iterating over them.

Mixture Gas Heat Capacity

class thermo.heat_capacity.HeatCapacityGasMixture(CASs=[], HeatCapacityGases=[], MWs=[])

Bases: thermo.utils.mixture_property.MixtureProperty

Class for dealing with the gas heat capacity of a mixture as a function of temperature, pressure, and composition. Consists only of mole weighted averaging.

Parameters

CASslist[str], optional

The CAS numbers of all species in the mixture, [-]

HeatCapacityGaseslist[HeatCapacityGas], optional

HeatCapacityGas objects created for all species in the mixture [-]

MWslist[float], optional

Molecular weights of all species in the mixture, [g/mol]

Notes

To iterate over all methods, use the list stored in heat_capacity_gas_mixture_methods.

LINEAR:

Mixing rule described in mixing_simple.

Methods

calculate(T, P, zs, ws, method)	Method to calculate heat capacity of a gas mixture at temperature T, pressure P, mole fractions zs and weight fractions ws with a given method.
test_method_validity(T, P, zs, ws, method)	Method to test the validity of a specified method for the given conditions.

Tmax

Maximum temperature at which no method can calculate the heat capacity above.

Tmin

Minimum temperature at which no method can calculate the heat capacity under.

calculate(T, P, zs, ws, method)

Method to calculate heat capacity of a gas mixture at temperature T, pressure P, mole fractions zs and weight fractions ws with a given method.

This method has no exception handling; see mixture_property for that.

Parameters

Tfloat

Temperature at which to calculate the property, [K]

Pfloat

Pressure at which to calculate the property, [Pa]

zslist[float]

Mole fractions of all species in the mixture, [-]

wslist[float]

Weight fractions of all species in the mixture, [-]

methodstr

Name of the method to use

Returns

Cpgmfloat

Molar heat capacity of the gas mixture at the given conditions, [J/mol]

name = 'Gas heat capacity'

property_max = 10000.0

Maximum valid of Heat capacity; arbitrarily set. For fluids very near the critical point, this value can be obscenely high.

property_min = 0

Heat capacities have a minimum value of 0 at 0 K.

ranked_methods = ['LINEAR']

test_method_validity(T, P, zs, ws, method)

Method to test the validity of a specified method for the given conditions. No methods have implemented checks or strict ranges of validity.

Parameters

Tfloat

Temperature at which to check method validity, [K]

Pfloat

Pressure at which to check method validity, [Pa]

zslist[float]

Mole fractions of all species in the mixture, [-]

wslist[float]

Weight fractions of all species in the mixture, [-]

methodstr

Method name to use

Returns

validitybool

Whether or not a specifid method is valid

units = 'J/mol'

thermo.heat_capacity.heat_capacity_gas_mixture_methods = ['LINEAR']

Holds all methods available for the HeatCapacityGasMixture class, for use in iterating over them.

Mixture Solid Heat Capacity

class thermo.heat_capacity.HeatCapacitySolidMixture(CASs=[], HeatCapacitySolids=[], MWs=[])

Bases: thermo.utils.mixture_property.MixtureProperty

Class for dealing with solid heat capacity of a mixture as a function of temperature, pressure, and composition. Consists only of mole weighted averaging.

Parameters

CASslist[str], optional

The CAS numbers of all species in the mixture, [-]

HeatCapacitySolidslist[HeatCapacitySolid], optional

HeatCapacitySolid objects created for all species in the mixture [-]

MWslist[float], optional

Molecular weights of all species in the mixture, [g/mol]

Notes

To iterate over all methods, use the list stored in heat_capacity_solid_mixture_methods.

LINEAR:

Mixing rule described in mixing_simple.

Methods

calculate(T, P, zs, ws, method)	Method to calculate heat capacity of a solid mixture at temperature T, pressure P, mole fractions zs and weight fractions ws with a given method.
test_method_validity(T, P, zs, ws, method)	Method to test the validity of a specified method for the given conditions.

Tmax

Maximum temperature at which no method can calculate the heat capacity above.

Tmin

Minimum temperature at which no method can calculate the heat capacity under.

calculate(T, P, zs, ws, method)

Method to calculate heat capacity of a solid mixture at temperature T, pressure P, mole fractions zs and weight fractions ws with a given method.

This method has no exception handling; see mixture_property for that.

Parameters

Tfloat

Temperature at which to calculate the property, [K]

Pfloat

Pressure at which to calculate the property, [Pa]

zslist[float]

Mole fractions of all species in the mixture, [-]

wslist[float]

Weight fractions of all species in the mixture, [-]

methodstr

Name of the method to use

Returns

Cpsmfloat

Molar heat capacity of the solid mixture at the given conditions, [J/mol]

name = 'Solid heat capacity'

property_max = 10000.0

Maximum value of Heat capacity; arbitrarily set.

property_min = 0

Heat capacities have a minimum value of 0 at 0 K.

ranked_methods = ['LINEAR']

test_method_validity(T, P, zs, ws, method)

Method to test the validity of a specified method for the given conditions. No methods have implemented checks or strict ranges of validity.

Parameters

Tfloat

Temperature at which to check method validity, [K]

Pfloat

Pressure at which to check method validity, [Pa]

zslist[float]

Mole fractions of all species in the mixture, [-]

wslist[float]

Weight fractions of all species in the mixture, [-]

methodstr

Method name to use

Returns

validitybool

Whether or not a specifid method is valid

units = 'J/mol'

thermo.heat_capacity.heat_capacity_solid_mixture_methods = ['LINEAR']

Holds all methods available for the HeatCapacitySolidMixture class, for use in iterating over them.