Question

Derive the single particle partition function for an ideal monatomic gas consisting of N identical particles occupying a volume V. Obtain expression for the entropy and pressure of this system.

Answer 1

Answer

The dispersion ratio of ultrarelativistic particles has the form and also partition function of a monatomic classical gas.

$C_p=C_v+1=4$

Due to the thermal equation of state of an ideal gas p = θ / v and cv = const, the equation of the adiabatic process has the form as beolw.

$PV^{\gamma}=constant.$

Where

$\gamma=4/3$