Шешімі: The volume of an air bubble becomes three times greater as it rises from the bottom to the
The volume of an air bubble becomes three times greater as it rises from the bottom to the top of a lake. What is the depth of the lake if its temperature is constant? Atmospheric pressure is measured to be $100 \text{ kPa}$ and the density of water is $1000 \text{ kg/m}^3$.
The image shows a cross-section of a lake with an air bubble. At the bottom of the lake, at depth $h$, the bubble has volume $V_2$ and pressure $P_2$. As it rises to the surface, its volume expands to $V_1$ at pressure $P_1$. Arrows indicate pressure vectors $P_1$ at the surface and $P_2$ at depth $h$.