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[[Image:Heat of Vaporization (Benzene+Acetone+Methanol+Water).png|thumb|280px|Temperature-dependency of the heats of vaporization for water, methanol, benzene, and acetone. ]]
58 yr old Speech Pathologist Earle Tramel from Elfros, enjoys learn, sport betting and rc model cars. Recently took some time to make an  expedition to Bourges Cathedral.
 
The '''enthalpy of vaporization''', (symbol <math>\Delta{}H_{\mathrm{vap}}</math>), also known as the '''(latent) heat of vaporization''' or '''heat of evaporation''', is the [[enthalpy]] change required to transform a given quantity of a substance from a [[liquid]] into a [[gas]] at a given [[pressure]] (often [[atmospheric pressure]], as in [[Standard conditions for temperature and pressure|STP]]).
 
It is often measured at the [[normal boiling point]] of a substance; although tabulated values are usually corrected to 298&nbsp;[[Kelvin|K]], the correction is often smaller than the [[Standard deviation|uncertainty]] in the measured value.
 
The heat of vaporization is temperature-dependent, though a constant heat of vaporization can be assumed for small temperature ranges and for reduced temperature [[Reduced temperature|T<sub>r</sub>]]<<1.0. The heat of vaporization diminishes with increasing temperature and it vanishes completely at the critical temperature (T<sub>r</sub>=1) because above the [[critical temperature]] the [[liquid]] and [[vapor]] phases no longer exist, since the substance is a [[supercritical fluid]].
 
== Units ==
Values are usually quoted in [[Joule|J]]/[[Mole (unit)|mol]] or kJ/mol (molar enthalpy of vaporization), although kJ/kg or J/g (specific heat of vaporization), and older units like [[Calorie|kcal]]/mol, cal/g and [[British thermal unit|Btu]]/lb are sometimes still used, among others.
 
== Physical model for vaporization==
 
[[Image:Physical model for vaporization.jpg|thumb|right|350px|
Fig. 1 Schematic cross section of the proposed vaporization model for monatomic liquids with one atomic surface layer.]]
 
A simple physical model for the liquid-gas phase transformation was proposed in 2009.<ref>{{cite doi|10.1016/j.fluid.2009.06.005 }}</ref>  It is suggested that the energy required to free an atom from the liquid is equivalent to the energy needed to overcome the surface resistance of the liquid.  The model allows calculating the latent heat by multiplying the maximum surface area covering an atom (Fig. 1) with the surface tension and the number of atoms in the liquid. The calculated latent heat of vaporization values for the investigated 45 elements agrees well with experiments.
 
== Enthalpy of condensation ==
The '''enthalpy of condensation''' (or '''heat of condensation''') is by definition equal to the enthalpy of vaporization with the opposite sign: enthalpy changes of vaporization are always positive ([[heat]] is absorbed by the substance), whereas enthalpy changes of condensation are always negative (heat is released by the substance).
 
== Thermodynamic background ==
[[Image:Heat Content of Zn(c,l,g).PNG|tlhumb|right|350px|'''Molar enthalpy of zinc''' above 298.15 K and at 1 atm pressure, showing discontinuities at the melting and boiling points. The enthalpy of melting (Δ''H''°m) of zinc is 7323 J/mol, and the enthalpy of vaporization (Δ''H''°v) is 115 330 J/mol.]]
The enthalpy of vaporization can be written as
:<math>\Delta{}H_{\mathrm{vap}} = \Delta{}U_{\mathrm{vap}} + p\Delta\,V</math>
It is equal to the increased [[internal energy]] of the vapor phase compared with the liquid phase, plus the work done against ambient pressure. The increase in the internal energy can be viewed as the energy required to overcome the [[Chemical bond#Intermolecular interactions|intermolecular interactions]] in the liquid (or solid, in the case of [[Sublimation (chemistry)|sublimation]]). Hence [[helium]] has a particularly low enthalpy of vaporization, 0.0845&nbsp;kJ/mol, as the [[van der Waals force]]s between helium [[atom]]s are particularly weak. On the other hand, the [[molecule]]s in liquid [[Water (molecule)|water]] are held together by relatively strong [[hydrogen bond]]s, and its enthalpy of vaporization, 40.65&nbsp;kJ/mol, is more than five times the energy required to heat the same quantity of water from 0&nbsp;°C to 100&nbsp;°C ([[Heat capacity|''c''<sub>p</sub>]]&nbsp;= 75.3&nbsp;J&nbsp;K<sup>−1&nbsp;</sup>mol<sup>−1</sup>). Care must be taken, however, when using enthalpies of vaporization to ''measure'' the strength of intermolecular forces, as these forces may persist to an extent in the gas phase (as is the case with [[hydrogen fluoride]]), and so the calculated value of the [[bond strength]] will be too low. This is particularly true of metals, which often form [[Covalent bond|covalently bonded]] molecules in the gas phase: in these cases, the [[enthalpy of atomization]] must be used to obtain a true value of the [[bond energy]].
 
An alternative description is to view the enthalpy of condensation as the heat which must be released to the surroundings to compensate for the drop in [[entropy]] when a gas condenses to a liquid. As the liquid and gas are in [[Chemical equilibrium|equilibrium]] at the boiling point (''T''<sub>b</sub>), [[Gibbs free energy|Δ<sub>v</sub>''G'']]&nbsp;=&nbsp;0, which leads to:
:<math>\Delta\,_v S = S_{gas} - S_{liquid} = \Delta\,_v H/T_b</math>
As neither entropy nor [[enthalpy]] vary greatly with [[temperature]], it is normal to use the tabulated standard values without any correction for the difference in temperature from 298&nbsp;K. A correction must be made if the [[pressure]] is different from 100&nbsp;[[Pascal (unit)|kPa]], as the entropy of a gas is proportional to its pressure (or, more precisely, to its [[fugacity]]): the entropies of liquids vary little with pressure, as the [[compressibility]] of a liquid is small.
 
These two definitions are equivalent: the boiling point is the temperature at which the increased entropy of the gas phase overcomes the intermolecular forces. As a given quantity of matter always has a higher entropy in the gas phase than in a condensed phase (<math>\Delta\,_v S</math> is always positive), and from
:<math>\Delta\,G = \Delta\,H - T\Delta\,S</math>,
the [[Gibbs free energy]] change falls with increasing temperature: gases are favored at higher temperatures, as is observed in practice.
 
==Vaporization enthalpy of electrolyte solutions==
 
Estimation of the enthalpy of vaporization of electrolyte solutions can be simply carried out using equations based on the chemical thermodynamic models, such as Pitzer model<ref>X. Ge, X. Wang. Estimation of Freezing Point Depression, Boiling Point Elevation and Vaporization enthalpies of electrolyte solutions. Ind. Eng. Chem. Res. 48(2009)2229-2235. http://pubs.acs.org/doi/abs/10.1021/ie801348c (Correction: 2009, 48, 5123)http://pubs.acs.org/doi/abs/10.1021/ie900434h</ref> or TCPC model.<ref>X. Ge, X. Wang. Calculations of Freezing Point Depression, Boiling Point Elevation, Vapor Pressure and Enthalpies of Vaporization of Electrolyte Solutions by a Modified Three-Characteristic Parameter Correlation Model. J. Sol. Chem. 38(2009)1097-1117.http://www.springerlink.com/content/21670685448p5145/</ref>
 
== Selected values ==
=== Elements ===
{{periodic table (enthalpy of vaporisation)}}
 
===Other common substances===
Enthalpies of vaporization of common substances, measured at their respective standard boiling points:
 
{| class="wikitable sortable"
!Compound
!Boiling Point at normal pressure
!Heat of vaporization<br />([[Kilojoule per mole|kJ&nbsp;mol<sup>-1</sup>]])
!Heat of vaporization<br />(kJ&nbsp;kg<sup>−1</sup>)
|-
|[[Acetone]]
|329-330 K, 56-57 °C, 133-134 °F
|31.3
|538.9
|-
|[[Aluminium]]
|2792 K, 2519 °C, 4566 °F
|294.0
|10500
|-
|[[Ammonia]]
|240 K, −33.34 °C, -28 °F
|23.35
|1371
|-
|[[Butane]]
|272-274 K, -1°C, 30-34 °F
|21.0
|320
|-
|[[Diethyl ether]]
|307.8 K, 34.6 °C, 94.3 °F
|26.17
|353.1
|-
|[[Ethanol]]
|352 K,  78.37 °C, 173 °F
|38.6
|841
|-
|[[Hydrogen]]
|20.271 K, -252.879 °C, -423.182 °F
|0.46
|451.9
|-
|[[Iron]]
|3134 K, 2862 °C, 5182 °F
|340
|6090
|-
|[[Isopropyl alcohol]]
|356 K, 82.6 °C, 181 °F
|44.0
|732.2
|-
|[[Methane]]
|109-113 K, -164--160 °C, -263--256 °F
|8.17
|480.6
|-
|[[Methanol]]
|338 K, 64.7 °C,  148 °F
|35.3
|1104
|-
|[[Propane]]
|230.9-231.11 K,-42--42 °C, -44--44 °F
|15.7
|356
|-
|[[Phosphine]]
|185 K, -87.7 °C, -126 °F
|14.6
|429.4
|-
|[[Water]]
|373.15 K, 100 °C, 212 °F
|40.68
|2260
|}
 
==See also==
*[[Enthalpy of fusion]]
*[[Enthalpy of sublimation]]
*[[Joback method]] (Estimation of the heat of vaporization at the normal boiling point from molecular structures)
 
==References==
{{reflist}}
*[http://www.codata.org/resources/databases/key1.html CODATA Key Values for Thermodynamics]
*Kugler HK & Keller C (eds) 1985, ''Gmelin handbook of inorganic and organometallic chemistry,'' 8th ed., 'At, Astatine', system no. 8a, Springer-Verlag, Berlin, ISBN 3-540-93516-9, pp. 116–117
*[http://webbook.nist.gov/chemistry/ NIST Chemistry WebBook]
*Sears, Zemansky et al., ''University Physics'', Addison-Wesley Publishing Company, Sixth ed., 1982, ISBN 0-201-07199-1
 
{{States of matter}}
 
{{DEFAULTSORT:Enthalpy Of Vaporization}}
[[Category:Thermodynamic properties]]
[[Category:Thermodynamics]]
[[Category:Enthalpy]]

Latest revision as of 12:57, 23 June 2014

58 yr old Speech Pathologist Earle Tramel from Elfros, enjoys learn, sport betting and rc model cars. Recently took some time to make an expedition to Bourges Cathedral.