A hollow vertical cylinder with rigid walls and a height of H is closed on both ends, and is filled with an incompressible oil of density ρ. A gauge registers the pressure at the top of the cylinder. When a small bubble of volume v0 intially adheres near the bottom (Point A) the guage registers pressure p0. The gas in the bubble is ideal, and has a molecular weight of M. The bubble is liberated by tapping on the cylinder and rises to the top (Point B). The temperature T is constant. Derive an expression using any or all of the specified variables for the new pressure-gauge reading p1 at the top of the cylinder.