Midterm Examination MEC 512 Problem 1 (40 pts): A spherical air bubble of radius R = 1 micron lies at a depth H = 0.709 m below the surface of a water container. Assume static conditions, constant pressure and density in the air phases (i.e., inside the bubble and above the water surface). Assume the air is an ideal fluid so that Pair (P,T) = Pair CT. Data to solve the problem are provided below. a) Calculate the density inside the bubble and the buoyancy force on the bubble. b) Assuming all other parameters constant, how deep underwater the bubble should be to become neutrally buoyant? g = 9.8 m/s gravity C = 287 J/(kg K) Ideal gas constant air Po T=19.85C Temperature H water 1 Po = 101325 Pa Atmospheric pressure 2R = Pwater 1000 kg/m Water density y=0.072 N/m R = 1 micron Surface tension