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Chapter 3: Problem 95

Gas bubbles are released from the regulator of a submerged scuba diver. What happens to the bubbles as they rise through the seawater? Explain.

Short Answer

Expert verified
As bubbles rise from the scuba diver's regulator through the seawater, they expand due to the decrease in pressure (as per Boyle's Law) and rise due to the buoyant force (as per Archimedes' Principle), as the air inside the bubbles is less dense than the seawater.

Step by step solution

01

Understand and apply Boyle's Law

Boyle's Law states that the pressure and volume of a gas have an inverse relationship when temperature is held constant. For a submerged scuba diver, as a bubble of gas rises in water, the pressure exerted on it decreases. Therefore, according to Boyle's law, its volume increases. We can write this as \( P1*V1 = P2*V2 \)
02

Understand and apply the principle of buoyancy

Buoyancy force is the reason why bubbles rise in water. The principle of buoyancy, also known as Archimedes' principle, states that the buoyant force on an object is equal to the weight of the fluid the object displaces. As the air inside the bubble is less dense than the seawater surrounding it, the amount of water it displaces is more than its weight leading to the bubbles rising in water.
03

Apply combined knowledge of Boyle's law and buoyancy

As the bubbles rise from the regulator of a submerged scuba diver, they experience changing pressure and buoyant force, the volume of the bubbles increases due to the decrease in pressure, that's Boyle's law. Meanwhile, the buoyant force due to the difference in densities of the air in the bubbles and the surrounding seawater causes the bubbles to rise.

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