Passage - II : A small spherical monoatomic ideal gas bubble ( gamma- (5)/( 3) ) is trapped inside a liquid of density rho_1 [ 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 is rho_0 ( Neglect surface tension) When the gas bubble is at a height y from the bottom, its temperature is :

Passage - II : A small spherical monoatomic ideal gas bubble ( gamma-

1.	Passage - II : A small spherical monoatomic ideal gas bubble ( gamma- (5)/( 3) ) is trapped inside a liquid of density rho_1 [ 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 is rho_0 ( Neglect surface tension) When the gas bubble is at a height y from the bottom, its temperature is :
Answer» <P>`T_(0) ( (p_0 + rho_(1) GH)/( p_(0) +rho_(1) gy) )^(2//5)` `T_(0) ((p_(0) + rho_(1) g(H-y) )/( p_(0) + rho_(1) gH) )^(2//5)` `T_0 ((p_(0) + rho_(1) gH)/( p_(0) +rho_(1) gH) )^(3//5)` `T_0 ((p_(0) + rho_(1)g(H-y) )/( p_(0) +rho_(1) gH) )^(3//5)` ANSWER :B