Properties of Matter

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A small spherical monoatomic ideal gas bubble (γ = 5/3) is trapped inside a liquid of density ρl (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 liquidis H and the atmospheric pressure is P0 (neglect surface tension).