InterviewSolution
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InterviewSolution
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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_(l)gH)^(2//5))/((P_(0)+rho_(l)gy)^(7//5))`B. `(rho_(l)nRgT_(0))/((P_(0)+rho_(l)gH)^(2//5){(P_(0)+rho_(l)g)(H-y)}^(3//5))`C. `rho_(l)nRgT_(0)((P_(0)+rho_(l)gH)^(3//5))/((P_(0)+rho_(l)gy)^(8//5))`D. `(rho_(l)nRgT_(0))/((P_(0)+rho_(l)gH)^(3//5){(P_(0)+rho_(l)g)(H-y)}^(2//5))` |
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Answer» Correct Answer - B `F_(b)`=Volume of bubble `rho_(l)g` `=(nRT_(2))/(P_(2))rho_(1)g` `F_(b)=(rho_(l)nRgT_(0))/((P_(0)+rho_(1)gH)^((2)/(5))[P_(0)+rho_(l)g(H-Y)]^((3)/(5)))` |
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