Heat capacity: Difference between revisions

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m (→‎At constant pressure: Added an internal link to pressure.)
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The difference between the heat capacity at constant pressure and the heat capacity at constant volume is given by
The difference between the heat capacity at constant pressure and the heat capacity at constant volume is given by
:<math>C_p -C_V = \left( p + \left. \frac{\partial U}{\partial V} \right\vert_T \right) \left. \frac{\partial V}{\partial T} \right\vert_p</math>
:<math>C_p -C_V = \left( p + \left. \frac{\partial U}{\partial V} \right\vert_T \right) \left. \frac{\partial V}{\partial T} \right\vert_p</math>
 
==Liquids==
==Solids: Debye theory==
*[http://dx.doi.org/10.1063/1.1667469 Claudio A. Cerdeiriña, Diego González-Salgado, Luis Romani, María del Carmen Delgado, Luis A. Torres and Miguel Costas "Towards an understanding of the heat capacity of liquids. A simple two-state model for molecular association", Journal of Chemical Physics '''120''' pp. 6648-6659 (2004)]
==Solids==
====Dulong and Petit====
====Einstein====
====Debye====
==See also==
*[[Ideal gas: Heat capacity | Heat capacity of an ideal gas]]
==References==
==References==
[[category: classical thermodynamics]]
[[category: classical thermodynamics]]

Revision as of 17:36, 4 December 2008

The heat capacity is defined as the differential of heat with respect to the temperature ,

where is heat and is the entropy.

At constant volume

From the first law of thermodynamics one has

thus at constant volume, denoted by the subscript , then ,

At constant pressure

At constant pressure (denoted by the subscript ),

where is the enthalpy. The difference between the heat capacity at constant pressure and the heat capacity at constant volume is given by

Liquids

Solids

Dulong and Petit

Einstein

Debye

See also

References