The oxygen levels in a diver's body can become toxic if they dive too deep using a tank of regular air. assume that a certain individual starts experiencing undesirable effects if the gauge pressure exceeds 42.5 lb/in2. (gauge pressure is the pressure in excess of normal atmospheric pressure, which is the pressure your body tissues are used to.) in sea water, which has a density of 1.03 g/cm3, to what depth should the diver be limited? assume that =9.80 m/s2, that 1 pound is 4.448 n, and that 1 inch is 0.0254 m. (you need to know something about how diving tanks work. they have a pressure regulation system that feeds air from the high-pressure tank on the divers back into the divers mouth and respiratory system at the pressure of the water that surrounds her.)
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Ответ:
The diver should be limited to a depth of 29.03 m.
Explanation:
The gauge pressure inside the water is given by:
Gauge Pressure = Density(ρ) x g x Depth (H)
According to given gauge pressure should not exceed 42.5 lb/in²
Gauge Pressure = (42.5 lb/in²)(1 in/0.0254 m)²(4.448 N/1 lb)
Gauge Pressure = 293012.58 N/m²
Now converting density into SI units:
ρ = (1.03 g/cm^3)(1 kg/1000 g)(100 cm/1 m)^3
ρ = 1030 kg/m^3
293012.58 N/m² = ρgH = (1030 kg/m^3)(9.80 m/s²)H
H = 29.03 m
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