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 n R g T_(0) (P_(0)+rho_(t)gH)^(2//5)/(P_(0)+rhogy)^(7//5)`B. `(rho n R g T_(0))/(p_(0)+rhog H)^(2//5)[P_(0)+rhog(H-y)]^(3//5)`C. `rhon R g T_(0)(P_(0)+rho g H)^(3//5)/(P_(0)+rho g y)^(8//5)`D. `rho n R g T_(0)(P_(0)+rhogH)/(P_(0)+rho g y)^(8//5)`

A small spherical monoatomic ideal gas bubble `(gamma=5//3)` is trappe

1.	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 n R g T_(0) (P_(0)+rho_(t)gH)^(2//5)/(P_(0)+rhogy)^(7//5)`B. `(rho n R g T_(0))/(p_(0)+rhog H)^(2//5)[P_(0)+rhog(H-y)]^(3//5)`C. `rhon R g T_(0)(P_(0)+rho g H)^(3//5)/(P_(0)+rho g y)^(8//5)`D. `rho n R g T_(0)(P_(0)+rhogH)/(P_(0)+rho g y)^(8//5)`
Answer» Correct Answer - B

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