The rate at which a scuba diver uses air in the tank depends on many factors, such as the diver's age and lung capacity. Another important factor is the depth of the dive. A scuba diver continues to breathe normally while descending. Every time the diver inhales, the tank delivers enough air to inflate the diver's lungs. This means that the amount of air delivered by the tank must increase with the depth in order to withstand the increasing pressure. At greater depths, the diver uses the air in the tank more quickly. The amount of time the air will last is inversely proportional to the pressure at the depth of the
dive.
• Suppose a tank has enough air to last 60 min at the surface. How long will it last at a depth of 99 ft?
(The pressure is 4 atm, or 4 times as great.)
• Make a table showing how long the air will last at 0 ft, 20 ft, 33 ft, 40 ft, 50 ft, 66 ft, and 99 ft.

Question

The rate at which a scuba diver uses air in the tank depends on many factors, such as the diver's age  and lung capacity. Another important factor is the depth of the dive. A scuba diver continues to  breathe normally while descending. Every time the diver inhales, the tank delivers enough air to inflate  the diver's lungs. This means that the amount of air delivered by the tank must increase with the depth  in order to withstand the increasing pressure. At greater depths, the diver uses the air in the tank more  quickly. The amount of time the air will last is inversely proportional to the pressure at the depth of the 
dive. 
• Suppose a tank has enough air to last 60 min at the surface. How long will it last at a depth of 99 ft? 
(The pressure is 4 atm, or 4 times as great.) 
• Make a table showing how long the air will last at 0 ft, 20 ft, 33 ft, 40 ft, 50 ft, 66 ft, and 99 ft.

anonymous · Answer

Pressure under the water is 
atmospheric plus
rho g h, 
where rho is density of water (kg/m^3), g is gravity, h is depth in m.