# Difference between revisions of "Enthalpy"

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− | <div class="definition"><div class="short_definition">A thermodynamic state function ''H'' defined as <div class="display-formula"><blockquote>[[File:ams2001glos-Ee24.gif|link=|center|ams2001glos-Ee24]]</blockquote></div> where ''U'' is the [[internal energy]], ''p'' is [[pressure]], and ''V'' is volume.</div><br/> <div class="paragraph">[[Specific enthalpy]] of a homogeneous system, ''h'', is its enthalpy divided by its mass, ''m'', defined by <div class="display-formula"><blockquote>[[File:ams2001glos-Ee25.gif|link=|center|ams2001glos-Ee25]]</blockquote></div> where ''u'' is [[specific]] internal energy and ''v'' is [[specific volume]]. With aid of the [[gas laws]], the specific enthalpy of an [[ideal gas]] may also be written as <div class="display-formula"><blockquote>[[File:ams2001glos-Ee26.gif|link=|center|ams2001glos-Ee26]]</blockquote></div> where ''T'' is [[temperature]] and ''c''<sub>''p''</sub> is the [[specific heat]] at constant pressure. The specific enthalpy of a liquid, ''h''<sub>''l''</sub>;t7, is <div class="display-formula"><blockquote>[[File:ams2001glos-Ee27.gif|link=|center|ams2001glos-Ee27]]</blockquote></div> where ''c''<sub>''l''</sub> is the liquid's specific heat, which is nearly independent of pressure and specific volume. For a system consisting of a mixture of components, the total enthalpy is the mass-weighted sum of the enthalpies of each component. Thus, the total enthalpy of a system consisting of a mixture of [[dry air]], [[water vapor]], and liquid water is <div class="display-formula"><blockquote>[[File:ams2001glos-Ee28.gif|link=|center|ams2001glos-Ee28]]</blockquote></div> where ''m''<sub>''d''</sub>, ''m''<sub>''v''</sub>, and ''m''<sub>''w''</sub> are the masses of dry air, water vapor, and liquid water, respectively; ''c''<sub>''pd''</sub> and ''c''<sub>''pv''</sub> the specific heats of dry air and water vapor; and ''c''<sub>''w''</sub> is the specific heat of liquid water. This quantity is commonly called [[moist enthalpy]], with specific moist enthalpy given by ''h'' = ''H''/(''m''<sub>''d''</sub> + ''m''<sub>''v''</sub> + ''m''<sub>''w''</sub>). With the aid of the definition of the latent heat of vaporization (<br/>''see'' [[latent heat]]), moist enthalpy may also be written as <div class="display-formula"><blockquote>[[File:ams2001glos-Ee29.gif|link=|center|ams2001glos-Ee29]]</blockquote></div> where '' m''<sub>''t''</sub> is the mass of [[vapor]] plus liquid and ''L''<sub>''v''</sub> is the latent heat of vaporization. Similar relations can be written to include the effects of [[ice]]. In an [[adiabatic]], [[reversible process]], enthalpy and specific enthalpy are conserved, although the component specific enthalpies may not be, due to the exchange of enthalpy between components in [[phase]] changes.</div><br/> </div> | + | <div class="definition"><div class="short_definition">A thermodynamic state function ''H'' defined as <div class="display-formula"><blockquote>[[File:ams2001glos-Ee24.gif|link=|center|ams2001glos-Ee24]]</blockquote></div> where ''U'' is the [[internal energy]], ''p'' is [[pressure]], and ''V'' is volume.</div><br/> <div class="paragraph">[[specific enthalpy|Specific enthalpy]] of a homogeneous system, ''h'', is its enthalpy divided by its mass, ''m'', defined by <div class="display-formula"><blockquote>[[File:ams2001glos-Ee25.gif|link=|center|ams2001glos-Ee25]]</blockquote></div> where ''u'' is [[specific]] internal energy and ''v'' is [[specific volume]]. With aid of the [[gas laws]], the specific enthalpy of an [[ideal gas]] may also be written as <div class="display-formula"><blockquote>[[File:ams2001glos-Ee26.gif|link=|center|ams2001glos-Ee26]]</blockquote></div> where ''T'' is [[temperature]] and ''c''<sub>''p''</sub> is the [[specific heat]] at constant pressure. The specific enthalpy of a liquid, ''h''<sub>''l''</sub>;t7, is <div class="display-formula"><blockquote>[[File:ams2001glos-Ee27.gif|link=|center|ams2001glos-Ee27]]</blockquote></div> where ''c''<sub>''l''</sub> is the liquid's specific heat, which is nearly independent of pressure and specific volume. For a system consisting of a mixture of components, the total enthalpy is the mass-weighted sum of the enthalpies of each component. Thus, the total enthalpy of a system consisting of a mixture of [[dry air]], [[water vapor]], and liquid water is <div class="display-formula"><blockquote>[[File:ams2001glos-Ee28.gif|link=|center|ams2001glos-Ee28]]</blockquote></div> where ''m''<sub>''d''</sub>, ''m''<sub>''v''</sub>, and ''m''<sub>''w''</sub> are the masses of dry air, water vapor, and liquid water, respectively; ''c''<sub>''pd''</sub> and ''c''<sub>''pv''</sub> the specific heats of dry air and water vapor; and ''c''<sub>''w''</sub> is the specific heat of liquid water. This quantity is commonly called [[moist enthalpy]], with specific moist enthalpy given by ''h'' = ''H''/(''m''<sub>''d''</sub> + ''m''<sub>''v''</sub> + ''m''<sub>''w''</sub>). With the aid of the definition of the latent heat of vaporization (<br/>''see'' [[latent heat]]), moist enthalpy may also be written as <div class="display-formula"><blockquote>[[File:ams2001glos-Ee29.gif|link=|center|ams2001glos-Ee29]]</blockquote></div> where '' m''<sub>''t''</sub> is the mass of [[vapor]] plus liquid and ''L''<sub>''v''</sub> is the latent heat of vaporization. Similar relations can be written to include the effects of [[ice]]. In an [[adiabatic]], [[reversible process]], enthalpy and specific enthalpy are conserved, although the component specific enthalpies may not be, due to the exchange of enthalpy between components in [[phase]] changes.</div><br/> </div> |

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## Latest revision as of 15:54, 25 April 2012

## enthalpy

A thermodynamic state function where

*H*defined as*U*is the internal energy,*p*is pressure, and*V*is volume.Specific enthalpy of a homogeneous system, where where where where

where

*h*, is its enthalpy divided by its mass,*m*, defined by*u*is specific internal energy and*v*is specific volume. With aid of the gas laws, the specific enthalpy of an ideal gas may also be written as*T*is temperature and*c*_{p}is the specific heat at constant pressure. The specific enthalpy of a liquid,*h*_{l};t7, is*c*_{l}is the liquid's specific heat, which is nearly independent of pressure and specific volume. For a system consisting of a mixture of components, the total enthalpy is the mass-weighted sum of the enthalpies of each component. Thus, the total enthalpy of a system consisting of a mixture of dry air, water vapor, and liquid water is*m*_{d},*m*_{v}, and*m*_{w}are the masses of dry air, water vapor, and liquid water, respectively;*c*_{pd}and*c*_{pv}the specific heats of dry air and water vapor; and*c*_{w}is the specific heat of liquid water. This quantity is commonly called moist enthalpy, with specific moist enthalpy given by*h*=*H*/(*m*_{d}+*m*_{v}+*m*_{w}). With the aid of the definition of the latent heat of vaporization (*see*latent heat), moist enthalpy may also be written as*m*_{t}is the mass of vapor plus liquid and*L*_{v}is the latent heat of vaporization. Similar relations can be written to include the effects of ice. In an adiabatic, reversible process, enthalpy and specific enthalpy are conserved, although the component specific enthalpies may not be, due to the exchange of enthalpy between components in phase changes.

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