Gauge Pressure of Balloon 25m Under Sea

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In summary, a spherical balloon with a diameter of 60.0 cm is inflated with atmospheric pressure (101.3 kPa) and a temperature of 20.0 oC. When taken 25.0 m under the sea, where the temperature is 11.0 oC, what is the gauge pressure of the air inside the balloon? The pressure under the sea is equal to the pressure inside the balloon. Mathematical concepts and attempted solutions are needed to solve this problem.
  • #1
suppy123
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Homework Statement



b) A spherical balloon is inflated to a diameter of 60.0 cm. Assuming that the gas in the balloon is of atmospheric pressure (101.3 kPa) and is at a temperature of 20.0 oC.
The above balloon is then taken by a diver 25.0 m under the sea. The temperature of the seawater at this depth is 11.0 oC.
What is the gauge pressure of the air in the balloon at this depth?

Homework Equations





The Attempt at a Solution


101300* 25??
 
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  • #2
Show some more attempt.Answer without method is a man without identity.

>phy81x 9uru<
 
  • #3
nice logic...all i know that the pressure under the sea is equal to inside the balloon
well u got any hint?
 
Last edited:
  • #4
Show some attempt on the solution part.I am prohibited to solve the problem for ya(i would have loved to help a man in need:p). Show some mathematical concept.
 

1. What is the gauge pressure of a balloon 25m under the sea?

The gauge pressure of a balloon 25m under the sea would depend on the depth at which it is submerged. However, assuming standard seawater density of approximately 1025 kg/m^3, the gauge pressure would be approximately 2.4 atm or 240 kPa.

2. How does the gauge pressure of a balloon change as it descends deeper under the sea?

The gauge pressure of a balloon will increase as it descends deeper under the sea due to the weight of the water above it. For every 10 meters of depth, the gauge pressure will increase by approximately 1 atm or 100 kPa.

3. Can the gauge pressure of a balloon 25m under the sea be negative?

No, the gauge pressure of a balloon 25m under the sea cannot be negative. The gauge pressure is always positive and represents the difference between the internal pressure of the balloon and the external pressure of the water.

4. How does the gauge pressure of a balloon at 25m under the sea compare to the atmospheric pressure at sea level?

The gauge pressure of a balloon at 25m under the sea would be approximately 2.4 atm, which is significantly higher than the atmospheric pressure at sea level which is approximately 1 atm. This is because the balloon is being subjected to the weight of the water above it in addition to the atmospheric pressure.

5. What factors can affect the gauge pressure of a balloon at 25m under the sea?

The gauge pressure of a balloon at 25m under the sea can be affected by the depth at which it is submerged, the density of the seawater, and the internal pressure of the balloon. Other factors such as temperature, salinity, and the shape and size of the balloon can also play a role in determining the gauge pressure.

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