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). When the gas bubble is at a height y from the bottom, its temperature is-A. `T_(0)((P_(0)+P_(l)gh)/(P_(0)+rho_(l)gy))^(2//5)`B. `T_(0)((P_(0)+rho_(l)g(H-y))/(P_*(0)+rho_(l)gH))^(2//5)`C. `T_(0)((P_(0)+rho_(l)gH)/(P_(0)+rho_(l)gy))^(3//5)`D. `T_(0)((P_(0)+rho_(l)g(H-y))/(P_(0)+rho_(l)gH))^(3//5)` |
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Answer» Correct Answer - B `T_(1)P_(1)^((1-gamma)/(gamma))=T_(2)P_(2)^((1-gamma)/(gamma))` `T_(2)=T_(0)[((P_(0)+rho_(l)g(H-y)))/(P_(0)+rho_(l)gH)]^((2)/(5))` |
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