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polykin.properties.vaporization¤

DHVL_Vetere ¤

DHVL_Vetere(Tb: float, Tc: float, Pc: float) -> float

Calculate the enthalpy of vaporization of a pure compound at the normal boiling point, \(\Delta H_{vb}\), using the Vetere method.

\[ \Delta H_{vb} = R T_c T_{br} \frac{0.4343\ln(P_c/10^5)-0.69431 + 0.89584 T_{br}}{0.37691-0.37306 T_{br} + 0.15075 (P_c/10^5)^{-1} T_{br}^{-2}} \]

where \(P_c\) is the critical pressure, \(T_c\) is the critical temperature, \(T_b\) is the normal boiling temperature, and \(T_{br}=T_b/T_c\) is the reduced normal boiling temperature.

References

  • RC Reid, JM Prausniz, and BE Poling. The properties of gases & liquids 4th edition, 1986, p. 227.
PARAMETER DESCRIPTION
Tb

Normal boiling point temperature [K].

TYPE: float

Tc

Critical temperature [K].

TYPE: float

Pc

Critical pressure [Pa].

TYPE: float

RETURNS DESCRIPTION
float

Vaporization enthalpy at the normal boiling point [J/mol].
See Also

Examples:

Estimate the vaporization enthalpy of vinyl chloride at the normal boiling temperature.

>>> from polykin.properties.vaporization import DHVL_Vetere
>>> DHVL = DHVL_Vetere(Tb=259.8, Tc=425.0, Pc=51.5e5)
>>> print(f"{DHVL/1e3:.1f} kJ/mol")
21.6 kJ/mol
Source code in src/polykin/properties/vaporization/dhvl.py 
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def DHVL_Vetere(
    Tb: float,
    Tc: float,
    Pc: float,
) -> float:
    r"""Calculate the enthalpy of vaporization of a pure compound at the normal
    boiling point, $\Delta H_{vb}$, using the Vetere method.

    $$
    \Delta H_{vb} = R T_c T_{br} \frac{0.4343\ln(P_c/10^5)-0.69431
    + 0.89584 T_{br}}{0.37691-0.37306 T_{br}
    + 0.15075 (P_c/10^5)^{-1} T_{br}^{-2}}
    $$

    where $P_c$ is the critical pressure, $T_c$ is the critical temperature,
    $T_b$ is the normal boiling temperature, and $T_{br}=T_b/T_c$ is the
    reduced normal boiling temperature.

    **References**

    *   RC Reid, JM Prausniz, and BE Poling. The properties of gases & liquids
        4th edition, 1986, p. 227.

    Parameters
    ----------
    Tb : float
        Normal boiling point temperature [K].
    Tc : float
        Critical temperature [K].
    Pc : float
        Critical pressure [Pa].

    Returns
    -------
    float
        Vaporization enthalpy at the normal boiling point [J/mol].

    See Also
    --------
    * [`DHVL_Kistiakowsky_Vetere`](DHVL_Kistiakowsky_Vetere.md): alternative method.
    * [`DHVL_Pitzer`](DHVL_Pitzer.md): alternative method.

    Examples
    --------
    Estimate the vaporization enthalpy of vinyl chloride at the normal boiling
    temperature.
    >>> from polykin.properties.vaporization import DHVL_Vetere
    >>> DHVL = DHVL_Vetere(Tb=259.8, Tc=425.0, Pc=51.5e5)
    >>> print(f"{DHVL/1e3:.1f} kJ/mol")
    21.6 kJ/mol
    """
    Tbr = Tb / Tc
    return (
        R
        * Tc
        * Tbr
        * (0.4343 * log(Pc / 1e5) - 0.69431 + 0.89584 * Tbr)
        / (0.37691 - 0.37306 * Tbr + 0.15075 / (Pc / 1e5) / Tbr**2)
    )