Which gas forms the liquid first as the air is cooled?

Statement- 1 : When an electric fan is switched on in a closed room, the air of the room is cooled. Statement- 2 : When fan is switched on, the speed of the air molecules will increase.

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 spray gun is shown in the figure where a piston pushes air out of a nozzle. A thin tube of uniform cross section is connected to the nozzle. The other end of the tube is in a small liquid container. As the piston pushes air through the nozzle, the liquid from the container rises into the nozzle and is sprayed out. For the spray gun shown, the radii of the piston and the nozzle are 20mm and 1mm respectively. The upper end of the container is open to the atmosphere. If the density of air is rho_a , and that of the liquid rho_l , then for a given piston speed the rate (volume per unit time) at which the liquid is sprayed will be proportional to

A small spherical monoatomic ideal gas bubble (gamma= (5)/(3)) is trapped inside a liquid of density rho_(l) (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 P_(0) (Neglect surface tension). When the gas bubble is at a height y from the bottom , its temperature is :-