Review. At 25.0 m below the surface of the sea, where the...

Review. At 25.0 $\mathrm{m}$ below the surface of the sea, where the temperature is $5.00^{\circ} \mathrm{C},$ a diver exhales an air bubble having a volume of $1.00 \mathrm{cm}^{3} .$ If the surface temperature of the sea is $20.0^{\circ} \mathrm{C},$ what is the volume of the bubble just before it breaks the surface?

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Key Concepts

Temperature Conversion to Kelvin

In gas law calculations, temperatures must be in an absolute scale (Kelvin). Converting from degrees Celsius to Kelvin (by adding 273.15) is a necessary step, as it ensures that the proportionalities in the gas laws are properly maintained.

Combined Gas Law

This law relates the pressure, volume, and temperature of a gas in a closed system and is expressed in the form (P1 × V1)/T1 = (P2 × V2)/T2. It allows one to predict how a gas will change under different conditions of pressure and temperature, which is essential when analyzing how a bubble’s volume changes as it rises through varying pressures and temperatures.

Hydrostatic Pressure

Hydrostatic pressure describes the pressure exerted by a fluid at a given depth and is calculated as the sum of the atmospheric pressure and the pressure due to the weight of the overlying fluid column. This concept is critical when determining the pressure experienced by an object underwater, such as an air bubble deep in the sea.

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