When a soap bubble is left in a room, air molecules diffuse out from the bubble....

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When a soap bubble is left in a room, air molecules diffuse out from the bubble. If at an instant, the concentrations of air molecules inside the bubble and in room are n; and no respectively and thickness of the walls of the bubble is h, the rate q of diffusion i.e. number of air molecules coming out of the bubble per second from a unit surface area is given by the following equation. 9=D ni - n h 0 Here D is a positive constant. If initial radius of the bubble is ro and initial thickness of the walls of the bubble is ho, find expression for rate of change in radius r of the bubble. Atmospheric pressure in the room is Po and surface tension of the soap solution is o. Neglect evaporation of soap solution and treat air as an ideal gas. When a soap bubble is left in a room, air molecules diffuse out from the bubble. If at an instant, the concentrations of air molecules inside the bubble and in room are n; and no respectively and thickness of the walls of the bubble is h, the rate q of diffusion i.e. number of air molecules coming out of the bubble per second from a unit surface area is given by the following equation. 9=D ni - n h 0 Here D is a positive constant. If initial radius of the bubble is ro and initial thickness of the walls of the bubble is ho, find expression for rate of change in radius r of the bubble. Atmospheric pressure in the room is Po and surface tension of the soap solution is o. Neglect evaporation of soap solution and treat air as an ideal gas.