An ideal gas enclosed in a vertical cylindrical
container supports a freely moving piston of mass
M. The piston and the cylinder have equal cross
sectional area A. When the piston is in
equilibrium, the volume of the gas is V0 and its
pressure is P0. The piston is slightly displaced
from the equilibrium position and released.
Assuming that the system is completely isolated
from its surrounding, the piston executes a simple
harmonic motion with frequency -