Consider the case of an air bubble released from the bottom of a 12-m-deep lake as shown in Figure 1.21. The bubble is filled with air, it has an initial diameter of 6 mm, no air is lost or gained in...

Consider the case of an air bubble released from the bottom of a 12-m-deep lake as shown in Figure 1.21. The bubble is filled with air, it has an initial diameter of 6 mm, no air is lost or gained in the bubble as it rises, and the air in the bubble and the surrounding lake water maintain a constant temperature of 20◦C. Atmospheric pressure, patm, on the surface of the lake is 101.3 kPa, and the pressure, p, at any depth, z, below the surface of the lake is given by p = patm + γz, where γ is the specific weight of the water in the lake. Estimate the diameter of the bubble when it surfaces.