A scuba diver is 12.5 m below the ocean surface, and seawater's density is 1030 kg / m^3. The

step 1 This question belongs to the ideal gas in which we have a scuba diver which is at H equals to 12

A scuba diver is 12.5 m below the ocean surface, and...

A scuba diver is $12.5 \mathrm{~m}$ below the ocean surface, and seawater's density is $1030 \mathrm{~kg} / \mathrm{m}^{3}$. The diver exhales a $25.0-\mathrm{cm}^{3}$ bubble. What's the bubble's volume as it reaches the surface? Assume uniform water temperature.

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Key Concepts

Atmospheric Pressure

Atmospheric pressure is the pressure exerted by the weight of the Earth's atmosphere at any given point. At the surface of the ocean, it combines with the pressure due to water depth to set the total pressure acting on a submerged object. Understanding atmospheric pressure is important when applying the principles of gas laws to scenarios where there is a pressure difference between locations, such as underwater and at the surface.

Boyle's Law

Boyle's Law states that for a fixed amount of an ideal gas kept at a constant temperature, the product of pressure and volume is a constant. This means that if the pressure on the gas changes, the volume will adjust inversely. This principle is crucial in understanding how the volume of a gas bubble changes as the pressure it experiences changes with depth in a liquid.

Hydrostatic Pressure

Hydrostatic pressure refers to the pressure that is exerted by a fluid at rest due to the force of gravity. It increases linearly with depth according to the relationship P = P? + ?gh, where P? is the atmospheric pressure at the surface, ? is the density of the fluid, g is the acceleration due to gravity, and h is the depth. This concept is key to determining the pressure conditions experienced by a gas bubble underwater.

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