Editing Joule-Thomson effect

The '''Joule-Thomson effect''' is also known as the ''Joule-Kelvin effect''. This effect is present in non ideal gasses, where a change in temperature occurs upon expansion.
==Joule-Thomson coefficient==
The Joule-Thomson coefficient is given by 

:<math>\mu_{\mathrm JT} = \left. \frac{\partial T}{\partial p} \right\vert_H</math>

where ''T'' is the [[temperature]], ''p'' is the [[pressure]] and ''H'' is the [[enthalpy]].

In terms of [[Heat capacity | heat capacities]] one has

:<math>\mu_{\mathrm JT} C_V = -\left. \frac{\partial E}{\partial V} \right\vert_T </math>

and

:<math>\mu_{\mathrm JT} C_p = -\left. \frac{\partial H}{\partial p} \right\vert_T </math>


In terms of the [[second virial coefficient]] at zero [[pressure]] one has

:<math>\mu_{\mathrm JT}\vert_{p=0} = ^0\!\!\phi = B_2(T) -T \frac{dB_2(T)}{dT}</math>
==Inversion temperature==
<ref>[http://dx.doi.org/10.1119/1.17417 Jacques-Olivier Goussard and Bernard Roulet "Free expansion for real gases", American Journal of Physics '''61''' pp.  845-848 (1993)]</ref>
<ref>[http://dx.doi.org/10.2174/1874396X00903010017 E. Albarran-Zavala, B. A. Espinoza-Elizarraraz, F. Angulo-Brown "Joule Inversion Temperatures for Some Simple Real Gases", The Open Thermodynamics Journal '''3''' pp. 17-22 (2009)]

==References==
<references/>
'''Related reading'''
*[http://jchemed.chem.wisc.edu/Journal/Issues/1981/Aug/jceSubscriber/JCE1981p0620.pdf Thomas R. Rybolt "A virial treatment of the Joule and Joule-Thomson coefficients", Journal of Chemical Education '''58''' pp. 620-624 (1981)]
[[category: classical thermodynamics]]
[[category: statistical mechanics]]