Question

A bubble forms on the continental shelf at the bottom of the ocean near the coast. Assume the density of salt water is 1.05 g/cm³, and that the ocean is 0.650 km deep at this point. The pressure in the bubble is equal to the pressure in the surrounding water.

a) What is the absolute pressure (in Pa) in the water at this depth? Assume that the air above the ocean is at a pressure of 1.013 x 10⁵ Pa. Be careful with significant figures.

b) When the bubble forms at the depth listed in part a, it is a sphere that has a volume of 4.80 x 10^-6m³. The temperature is 2.5 °C. How many moles of gas are in the bubble? (Possibly useful information: volume of a sphere: R = 8.31 J/mol·K)

c) The temperature at the surface of the ocean is 17.5°C. As the bubble comes to the surface, the pressure in the bubble matches the atmospheric pressure. What is the volume of the bubble at the top of the surface of the water in m³?

d) By what factor does the radius of the bubble change as it rises from the ocean floor to the surface?

e) if a large bubble were to appear under an object floating on a body of water, describe what happens to that object. Use concepts relating to buoyancy.

Answer 1

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