Calculating Volume Change for an Air Bubble Rising from Depth

In summary, according to the given information and the formula for pressure, the air bubble has a volume of 1.75 cm3 when released 125 m below the surface of a lake. When it reaches the surface, assuming constant temperature, the volume of the bubble would be 22.90 cm3. This is based on the pressure of 101325Pa above the water and 1326325Pa below the water.
  • #1
toadslayer11
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An air bubble has a volume of 1.75 cm3 when it is released by a submarine 125 m below the surface of a lake. What is the volume of the bubble when it reaches the surface? Assume that the temperature of the air in the bubble remains constant during ascent.

P= a+h*g*density

a=101325Pa
h=125m
g=9.8
density of freshwater=1000kg/m^3

P1*V1=P2*V2
1326325Pa*1.75cm3=101325*V2

V2=22.90cm3?

when calculate the initial pressure i get 1326325Pa so that would be the pressure under the water and the pressure above the water would just be 101325Pa?

Am i doing this right?
 
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  • #2
Looks right to me.
 

Related to Calculating Volume Change for an Air Bubble Rising from Depth

1. What is volume based on depth?

Volume based on depth is a measurement of the amount of space occupied by an object or substance in relation to its depth. It is typically measured in cubic units, such as cubic meters or cubic feet.

2. How is volume based on depth calculated?

Volume based on depth is calculated by multiplying the area of the base of an object by its depth. For irregularly shaped objects, the volume can be calculated by using integration techniques or by dividing the object into smaller, regular shapes and adding their volumes together.

3. What are some real-life applications of volume based on depth?

Volume based on depth is an important concept in fields such as architecture, engineering, and geology. It is used to determine the capacity of containers, the amount of materials needed for construction, and the volume of bodies of water.

4. How does changing the depth affect the volume of an object?

Changing the depth of an object can significantly impact its volume. For example, increasing the depth of a swimming pool will increase its volume, while decreasing the depth of a container will decrease its volume.

5. What are some common units used to measure volume based on depth?

The most common units used to measure volume based on depth are cubic meters, cubic centimeters, cubic feet, and cubic inches. Other units such as liters, gallons, and barrels can also be used depending on the context of the measurement.

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