A small spherical monoatomic ideal gas bubble `(gamma=5//3)` is trapped inside a liquid of density `rho` (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 `P_0` (Neglect surface tension).
The buoyancy force acting on the gas bubble is (Assume R is the universal gas constant)
A. `rho_(1)nRgT_(0)((P_(0)+rho_(1)gH)^(2//5))/((P_(0)+rho_(1)gy)^(7//5))`
B. `(rho_(1)RgT_(0))/((P_(0)+rho_(1)gH)^(2//5){P_(0)+rhog(H-y)}^(3//5))`
C. `rho_(1)nRgT_(0)((P_(0)+rho_(1)gH)^(3//5))/((P_(0)+rho_(1)gy)^(8//5))`
D. `(rho_(1)RgT_(0))/((P_(0)+rho_(1)gH)^(3//5){P_(0)+rhog(H-y)}^(2//5))`
