Calculating Volume Change of 1.00 Gallon Water at Varying Pressure Depths

In summary, the formula for calculating volume change of 1.00 gallon of water at varying pressure depths is V2 = V1 x (P2/P1). As pressure and depth increase, the volume of water decreases due to compression of water molecules. At a constant pressure, the volume of water will remain constant, and to convert volume change to different units, conversion factors must be used. However, there is a limit to how much the volume of water can change as water is incompressible.
  • #1
MoBaT
5
0
Find the change in volume of 1.00 gallon of water when it's taken from the surface of the ocean (P0 = 1.00 atm) to a depth where the absolute pressure is P=251 atm. Bulk modulus of water = 2.10 x 10^9
 
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  • #2
Hint: What does "bulk modulus" mean - what are it's units - can you relate these units to what changes in the situation?

In general - when you get stuck, looking at the units in context of what you know about the problem can give you a starting point.
 

Related to Calculating Volume Change of 1.00 Gallon Water at Varying Pressure Depths

What is the formula for calculating volume change of 1.00 gallon of water at varying pressure depths?

The formula for calculating volume change is: V2 = V1 x (P2/P1), where V2 is the final volume, V1 is the initial volume, P2 is the final pressure, and P1 is the initial pressure.

How do pressure and depth affect the volume of water?

As pressure increases, the volume of water decreases. This is because the pressure compresses the water molecules, reducing the space between them. As depth increases, the pressure also increases, causing the volume of water to decrease further.

Can the volume of water change at a constant pressure?

No, the volume of water will remain constant at a constant pressure. Only changes in pressure will cause changes in volume.

How do I convert the volume change to different units?

To convert the volume change to different units, you can use conversion factors. For example, to convert from gallons to liters, you would multiply the volume change by 3.785. Make sure to use the correct conversion factor for the specific units you are trying to convert to.

Is there a limit to how much the volume of water can change at varying pressure depths?

Yes, there is a limit to how much the volume of water can change. This is because water is incompressible, meaning it cannot be compressed to a smaller volume. Therefore, the volume change will eventually reach a limit as the pressure increases.

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