A ball bearing of mass 10 g just fits in a vertical glass tube of cross-sectional area 2 cm2. The bottom of the tube is connected to a vessel of volume 5 liters, filled with oxygen at a temperature of 30∘C. The top of the tube is open to the atmosphere, which is at a pressure of 105 Pa and a temperature of 30∘C. What is the period of vertical oscillation of the ball? Assume that the compressions and expansions of the oxygen are slow enough to be essentially quasi-static but fast enough to be adiabatic. Assume that O2 is a simple ideal gas with a molar heat capacity as given in Problem 7.4-11.