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A small spherical monoatomic ideal gas b...

A small spherical monoatomic ideal gas bubble `(gamma = 5/3)` is trapped inside a liquid of density `rho_l` (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 `T_0` the height of the liquid is H and the atmospheric pressure is `P_0` (Neglect surface tension).

The buoyancy force acting on the gas bubble is (Assume R is the universal gas constant):

A

Only the force of gravity

B

The force due to gravity and the force due to the pressure of the liquid

C

The force due to gravity, the force due to the pressure of the liquid and the force due to viscosity of the liquid.

D

The force due to gravity and the force due to viscosity of the liquid.

Text Solution

Verified by Experts

The correct Answer is:
D

Force due to the pressure of liquid = The buoyancy force.
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