Physics

Problem

The buoyancy force acting on the gas bubble is (Assume

R

is the universal gas constant) a.

\rho_\ell nRT_0 \frac{(P_0 + \rho_\ell gH)^{2/5}}{(P_0 + \rho_\ell gy)^{7/5}}

\frac{\rho_\ell nRT_0}{(P_0 + \rho_\ell gH)^{2/5} [P_0 + \rho_\ell g(H-y)]^{3/5}}

\rho_\ell nRT_0 \frac{(P_0 + \rho_\ell gH)^{3/5}}{(P_0 + \rho_\ell gy)^{8/5}}

\frac{\rho_\ell nRT_0}{(P_0 + \rho_\ell gH)^{3/5} [P_0 + \rho_\ell g(H-y)]^{2/5}}