When the U.S. submarineSqualus became disabled at a depth of 80 m, a cylindrical chamberwas lowered from a ship to rescue the crew. The chamberhad a radius of 1.00 m and a height of 4.00 m, was open at thebottom, and held two rescuers. It slid along a guide cable that adiver had attached to a hatch on the submarine. Once the chamberreached the hatch and clamped to the hull, the crew could escapeinto the chamber. During the descent, air was released fromtanks to prevent water from flooding the chamber. Assume thatthe interior air pressure matched the water pressure at depth has given by p0 +rgh, where p0=1.000 atm is the surface pressureand r=1024 kg/m3 is the density of seawater. Assume a surfacetemperature of 20.0C and a submerged water temperatureof -30.0C. (a)What is the air volume in the chamber at the surface?(b) If air had not been released from the tanks, what wouldhave been the air volume in the chamber at depth h=80.0 m?(c) How many moles of air were needed to be released to maintainthe original air volume in thechamber?
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
When the U.S. submarine
Squalus became disabled at a depth of 80 m, a cylindrical chamber
was lowered from a ship to rescue the crew. The chamber
had a radius of 1.00 m and a height of 4.00 m, was open at the
bottom, and held two rescuers. It slid along a guide cable that a
diver had attached to a hatch on the submarine. Once the chamber
reached the hatch and clamped to the hull, the crew could escape
into the chamber. During the descent, air was released from
tanks to prevent water from flooding the chamber. Assume that
the interior air pressure matched the water pressure at depth h
as given by p0 +rgh, where p0=1.000 atm is the surface pressure
and r=1024 kg/m3 is the density of seawater. Assume a surface
temperature of 20.0C and a submerged water temperature
of -30.0C. (a)What is the air volume in the chamber at the surface?
(b) If air had not been released from the tanks, what would
have been the air volume in the chamber at depth h=80.0 m?
(c) How many moles of air were needed to be released to maintain
the original air volume in the
chamber?
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