Difference between revisions of "Joule-Thomson effect"

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The '''Joule-Thomson effect''' is also known as the ''Joule-Kelvin effect''.
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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==
 
==Joule-Thomson coefficient==
 
The Joule-Thomson coefficient is given by  
 
The Joule-Thomson coefficient is given by  
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In terms of the [[second virial coefficient]] one has
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In terms of the [[second virial coefficient]] at zero [[pressure]] one has
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:<math>\mu_{\mathrm JT}\vert_{p=0} = ^0\!\!\phi = B_2(T) -T \frac{dB_2(T)}{dT}</math>
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==Inversion temperature==
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<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>
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<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)]</ref>
  
:<math>\mu_{\mathrm JT} = B_2 -T \frac{dB_2}{dT}</math>
 
 
==References==
 
==References==
#[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)]
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<references/>
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'''Related reading'''
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*[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: classical thermodynamics]]
 
[[category: statistical mechanics]]
 
[[category: statistical mechanics]]

Latest revision as of 15:22, 20 October 2009

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[edit]

The Joule-Thomson coefficient is given by

\mu_{\mathrm JT} = \left. \frac{\partial T}{\partial p} \right\vert_H

where T is the temperature, p is the pressure and H is the enthalpy.

In terms of heat capacities one has

\mu_{\mathrm JT} C_V = -\left. \frac{\partial E}{\partial V} \right\vert_T

and

\mu_{\mathrm JT} C_p = -\left. \frac{\partial H}{\partial p} \right\vert_T


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

\mu_{\mathrm JT}\vert_{p=0} = ^0\!\!\phi = B_2(T) -T \frac{dB_2(T)}{dT}

Inversion temperature[edit]

[1] [2]

References[edit]

Related reading