8. In scuba diving, a regulator is used so that the pressure of the air the dive

Question

8.
In scuba diving, a regulator is used so that the pressure of the air the diver breathes is close to that of the ambient water. A reckless swimmer decides to use a hose sticking out of the surface to breathe underwater while diving in a lake. When the air pressure in the lungs is at a pressure of around
0.130 atmospheres below the ambient
pressure, lung injury may occur. Find the depth at which the swimmer would experience such a pressure differential.

12.
A great lakes ore freighter has a mass of 39000 tons. It is designed to safely carry 29000 tons of iron ore, when it is in Lake Huron. How much ore (in tons) could it carry as safely on the ocean? Assume that safety depends only on maintaining the water line at the same position. Use the density of seawater = 1024 kg/cubic meter.

Explanation / Answer

1.

Pressure at a Depth of h

P=Po+pgh

Differential Pressure

dP=P-Po=pgh

Given

dP=0.13 atm

since 1 atm =1.013*105 pascals

dP=0.13*1.013*105=13169 Pascals

and Density of water

p=1000 Kg/m3

so

=>13169=1000*9.8*h

h=1.3438 m

2.

Mass that can be carried by freighter in fress water

Mfreshwater=39000+29000 =68000 tons

=>Mfreshwater/Mseawater =pfreshwater/pseawater

68000/Mseawater=1000/1024

Mseawater=69632tons

Mass of iron ore is

More=69632-39000 =30632Tons

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