A cylinder 2.4 m tall is filled with an ideal gas at standard temperature and pressure (Figure).

Question:

A cylinder 2.4 m tall is filled with an ideal gas at standard temperature and pressure (Figure). The top of the cylinder is then closed with a tight-fitting piston whose mass is 1.4 kg and the piston is allowed to drop until it is in equilibrium.

(a) Find the height of the piston, assuming that the temperature of the gas does not change as it is compressed.

(b) Suppose that the piston is pushed down below its equilibrium position by a small amount and then released. Assuming that the temperature of the gas remains constant, find the frequency of vibration of the piston.