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.
Adiabatic Compressibility, Chaplygin Gas, Cosmological Theories, Equation of State, Exotic Matter
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