Calculating the Volume of a Bubble at Different Depths in the Sea

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To calculate the volume of an air bubble exhaled by a diver at a depth of 24.0 m, it's essential to consider both temperature and pressure changes as the bubble rises. The relevant equation is P1V1/T1 = P2V2/T2, where pressure must account for hydrostatic pressure at depth plus atmospheric pressure. The hydrostatic pressure can be calculated using the formula P = density x g x depth, with the density of seawater at 1025 kg/m3. It is crucial to use absolute temperatures in Kelvin for accurate calculations. The pressure just before the bubble breaks the surface is approximately 1 atm, plus the pressure from the water column above it.
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Homework Statement



At 24.0 m below the surface of the sea (density = 1025 kg/m3), where the temperature is 5.00°C, a diver exhales an air bubble having a volume of 1.20 cm3. If the surface temperature of the sea is 20.0°C, what is the volume of the bubble just before it breaks the surface?
cm^3

Homework Equations



P1V1/T1=P2V2/T2 (thats what i tried)

The Attempt at a Solution


i got answers like 4.8, 1.68 by plugging into the equation...but as usual plug and chug never works...can u help please? i think I am missing how to find pressure from 24 m below surface. how do u do that?
 
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It would be more helpful to a reader here if you showed the calculations you made, rather than simply giving the answers you found that didn't work. You do want to use the "Ideal Gas Law". Did you use absolute temperatures in your calculation (Kelvins, rather than degrees Celsius)? Did you remember that the pressure at 24 m. down is the hydrostatic pressure of 24 meters of water plus the one atmosphere of pressure from the air above the water's surface?

i think I am missing how to find pressure from 24 m below surface. how do u do that?

Have you had the topic on hydrostatic pressure? The pressure from the water will be

P = (density of water) x (g) x (depth of water).
 
Last edited:
no we haven't covered that so wat pressure wud i used for when its just about to break the surface of the water since i don't know exactly how deep it is? wud that just be 1 atm?
 

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