A small spherical monoatomic ideal gas bubble is trapped inside a liquid of density ρ, (see figure). Assume that the bubble does not exchange any heat with the liquid. The bubble contains n moles of gas. The temperature of the gas when the bubble is at the bottom is T0, the height of the liquid is H and the atmospheric pressure is P0 (Neglect surface tension).
As the bubble moves upwards, besides the buoyancy force the following forces are acting on it