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A small spherical monoatomic ideal gas b...

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)+rhogH)/(P_(0)+rhogy))^(2//5)`

B

`T_(0)((P_(0)+rhog(H-y))/(P_(0)+rhogH))^(2//5)`

C

`T_(0)((P_(0)+rhogH)/(P_(0)+rhogy))^(3//5)`

D

`T_(0)((P_(0)+rhog(H-y))/(P_(0)+rhogH))^(3//5)`

Text Solution

Verified by Experts

The correct Answer is:
B
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