Water Pressure and Volume Relationship

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10 Questions

What is the pressure at a depth of 150 meters?

2.5 Bars

If the volume of a balloon at the surface (1 Bar) is 4 L, what would be its volume at a depth of 200 meters?

2 L

What is the density of air at 300 meters depth?

4 kg/L

What volume of water would displace a buoyant force of 1.85 kg at 100 meters depth?

1.85 L

Which statement about the relationship between pressure and volume is correct?

As pressure increases, volume decreases.

At a depth of 66 feet, how much atmospheric pressure does a diver experience?

3 atmospheres

How much air does a diver use at a depth of 66 feet compared to the surface?

125%

What happens to the volume of air in a diver's lungs when they descend to a depth of 33 feet?

Decreases by 50%

If a diver descends to 30 meters (approximately 98 feet), what will happen to their 1 liter of air when it compresses?

Compresses to 250 ml

What are some potential effects on a diver due to increased water pressure at depth?

Discomfort in ears, difficulty breathing, and sinus pain

Study Notes

Water Pressure

  • The absolute pressure at the surface is P0, and it increases by 1 Bar for every 10 meters of depth.
  • The volume of water remains constant at 1 L for every depth, and the density remains the same at 1 kg/L.

Boyle's Law

  • PV = constant
  • n, the number of moles, remains constant, making the quantity of water constant.

Gas Compression

  • As pressure increases, volume decreases.
  • Density stays the same for every depth.
  • According to Boyle's Law, PV = constant, and n, the number of moles, remains constant.

Balloon Example

  • A 4 L balloon filled with 3.7 L of air is affected by pressure changes at different depths.
  • At 100m, the pressure is 2 Bars, and the volume is 1.85 L.
  • At 200m, the pressure is 3 Bars, and the volume is 1.23 L.
  • At 300m, the pressure is 4 Bars, and the volume is 0.93 L.
  • At 400m, the pressure is 5 Bars, and the volume is 0.74 L.

Buoyancy

  • A buoyant object will float to the surface, but will sink if anchored or tied to a weight.
  • Buoyancy force can be calculated based on the volume of the object.

Diving

  • Increased water pressure affects the body, requiring divers to deal with the pressure.
  • As you descend, air volume decreases, and pressure increases by 1 atmosphere every 10 meters or 33 feet.
  • This means that at 33 feet, you will experience twice the weight of the atmosphere, equivalent to two cars on top of you.

Air Volume and Density

  • Water does not compress, but air does, causing the volume of air to decrease with depth.
  • As you descend, air compresses until it reaches a point where it doesn't compress anymore.
  • Air will always change its volume according to the surrounding pressure.

Diving Risks

  • If you don't equalize your ears, you might experience discomfort and injury due to the pressure change.
  • The deeper you go, the more pressure on your lungs, requiring deeper breathing to get the same amount of oxygen.
  • This affects air supply, causing you to exhaust your air supply quicker.
  • You will use 113% of air for a 33-foot descent, and 125% for another 33-foot descent.

This quiz explores the relationship between water pressure and volume at different depths, including the effect of pressure on density.

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