Evaluate the partition function of a classical ideal gas consisting of N molecules of mass m...

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.

Solutions

Expert Solution

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

genius_generous answered 1 year ago

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