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Density and pressure

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Question 5

A diver works in a freshwater lake on a day when the atmospheric pressure is 96 kPa and the density of the lake water is 1000 kg/m3.

a.

The diver uses compressed air to breathe under water.

1500 litres1500\text{ litres}1500 litres of air from the atmosphere is compressed into a 10-litre10\text{-litre}10-litre gas cylinder.

The compressed air quickly cools to its original temperature.

Calculate the pressure of the air in the cylinder.

[2]
b.

State the equation linking pressure difference, depth, density and ggg.

[1]
c.

Calculate the increase in pressure when the diver descends from the surface to a depth of 18 m.

[1]
d.

Calculate the total pressure on the diver at a depth of 18 m.

Assume that the atmospheric pressure remains at 96 kPa.

[2]
e.

As the diver breathes out, bubbles of gas are released and rise to the surface.

The bubbles increase in volume as they rise.

Explain this increase in volume.

[3]

Density and pressure Questions

  1. IGCSE
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