In: Physics
Evaluate the partition function of a classical ideal gas consisting of N molecules of mass m confined to a cylinder of vertical height L which is in a state of thermal equilibrium at constant temperature T in a uniform gravitational field of acceleration g. Calculate the specific heat and why it is larger than the free space value.
the one particle partition function is

energy of the particle


on solving

for N paticles partition function is


total energy

on solving






specific heat on constant volume


free space means constant pressure
by mayers relation

