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Vol.3 , No. 2, Publication Date: Feb. 15, 2016, Page: 64-70
![](https://www.facebook.com/dialog/feed?app_id=808315475849687&link=http://www.aascit.org/journal/archive2?journalId=940%26paperId=3835&redirect_uri=http://www.aascit.org/journal/archive2?journalId=940%26paperId=3835&display=popup&name=Adiabatic Compressibility of the Variable Chaplygin Gas&description=In this paper, we have deduced an analytic expression for the adiabatic compressibility <img src="http://article.aascit.org/journal/940/9401230/img0001.jpg" style="border:0;vertical-align:middle;height:20px;"/> for a Chaplygin gas which is a function of the pressure P and temperature T. We have considered the work of Panigrahi (2015) for variable Chaplygin gas, exotic matter used in some cosmological theories whose equation of state is of the form <img src="http://article.aascit.org/journal/940/9401230/img0002.jpg" style="border:0;vertical-align:middle;height:40px;"/> with <img src="http://article.aascit.org/journal/940/9401230/img0003.jpg" style="border:0;vertical-align:middle;height:35px;"/> and n is a constant. The expression obtained for <img src="http://article.aascit.org/journal/940/9401230/img0001.jpg" style="border:0;vertical-align:middle;height:20px;"/> was used for the determination of the value of the thermal capacity at constant pressure <img src="http://article.aascit.org/journal/940/9401230/img0004.jpg" style="border:0;vertical-align:middle;height:20px;"/> for variable Chaplygin gas. It is predicted in this research the behaviour of the adiabatic compressibility <img src="http://article.aascit.org/journal/940/9401230/img0001.jpg" style="border:0;vertical-align:middle;height:20px;"/> of Chaplygin gas in the limit of high and low pressure. We have found that the adiabatic compressibility <img src="http://article.aascit.org/journal/940/9401230/img0001.jpg" style="border:0;vertical-align:middle;height:20px;"/> is function of the pressure and <img src="http://article.aascit.org/journal/940/9401230/img0005.jpg" style="border:0;vertical-align:middle;height:20px;"/> when <img src="http://article.aascit.org/journal/940/9401230/img0006.jpg" style="border:0;vertical-align:middle;height:20px;"/> and <img src="http://article.aascit.org/journal/940/9401230/img0008.jpg" style="border:0;vertical-align:middle;height:20px;"/> if <img src="http://article.aascit.org/journal/940/9401230/img0007.jpg" style="border:0;vertical-align:middle;height:20px;"/> as in the ideal gas and <img src="http://article.aascit.org/journal/940/9401230/img0004.jpg" style="border:0;vertical-align:middle;height:20px;"/> is always positive with <i>n</i><0.&picture=http://www.aascit.org/aascit/decorators/img/journal/940.jpg)
| [1] | Manuel Malaver, Department of Basic Sciences, Maritime University of the Caribbean, Vargas State, Venezuela. |
In this paper, we have deduced an analytic expression for the adiabatic compressibility 
for a Chaplygin gas which is a function of the pressure P and temperature T. We have considered the work of Panigrahi (2015) for variable Chaplygin gas, exotic matter used in some cosmological theories whose equation of state is of the form 
with 
and n is a constant. The expression obtained for was used for the determination of the value of the thermal capacity at constant pressure 
for variable Chaplygin gas. It is predicted in this research the behaviour of the adiabatic compressibility of Chaplygin gas in the limit of high and low pressure. We have found that the adiabatic compressibility is function of the pressure and 
when 
and 
if 
as in the ideal gas and is always positive with n<0.
Keywords
Adiabatic Compressibility, Chaplygin Gas, Cosmological Theories, Equation of State, Exotic Matter
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