In this paper, we have deduced an analytic expression for the adiabatic compressibility
![](http://article.aascit.org/journal/940/9401230/img0001.jpg)
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
![](http://article.aascit.org/journal/940/9401230/img0002.jpg)
with
![](http://article.aascit.org/journal/940/9401230/img0003.jpg)
and n is a constant. The expression obtained for
![](http://article.aascit.org/journal/940/9401230/img0001.jpg)
was used for the determination of the value of the thermal capacity at constant pressure
![](http://article.aascit.org/journal/940/9401230/img0004.jpg)
for variable Chaplygin gas. It is predicted in this research the behaviour of the adiabatic compressibility
![](http://article.aascit.org/journal/940/9401230/img0001.jpg)
of Chaplygin gas in the limit of high and low pressure. We have found that the adiabatic compressibility
![](http://article.aascit.org/journal/940/9401230/img0001.jpg)
is function of the pressure and
![](http://article.aascit.org/journal/940/9401230/img0005.jpg)
when
![](http://article.aascit.org/journal/940/9401230/img0006.jpg)
and
![](http://article.aascit.org/journal/940/9401230/img0008.jpg)
if
![](http://article.aascit.org/journal/940/9401230/img0007.jpg)
as in the ideal gas and
![](http://article.aascit.org/journal/940/9401230/img0004.jpg)
is always positive with
n<0.
Adiabatic Compressibility, Chaplygin Gas, Cosmological Theories, Equation of State, Exotic Matter
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