Abstract
By using the pressure and entropy of a system obtained from the grand potential of ideal quantum gases confined in a long tube with a fixed transverse cross section of area and the fundamental relations of thermodynamics, expression for the heat capacity at given longitudinal pressure and area of cross section is derived, from which the linear expansion coefficient and the Joule-Thomson coefficient (JTC) of the system are obtained. Moreover, the effects of the finite size on the heat capacity, expansion coefficient and JTC of the system are discussed in detail. It is significant to find that the absolute values of the JTCs of confined ideal quantum gases increase with the decrease of the systemic size and temperature.
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