PRESSURE in REFRIGERATION

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PRESSURE in REFRIGERATION

Pressure is defined as force per unit of area. This is normallyĀ expressed in pounds per square inch (psi). Simply stated,Ā when a 1-lb weight rests on an area of 1 square inch (1 in2),Ā the pressure exerted downward is 1 psi. Similarly, when aĀ 100-lb weight rests on a 1-in2 area, 100 psi of pressure isĀ exerted, Figure 1. If the 100-lb weight rested on a surfaceĀ that was 100 in2, the pressure exerted would be 1 psi.

When you swim under the surface of the water, you feelĀ a pressure pushing inward on your body. This pressure isĀ the result of the weight of the water and is very real. YouĀ would feel a different sensation when flying in an airplaneĀ without a pressurized cabin. Your body would be subjectedĀ to less pressure instead of more, yet you would still feel uncomfortable.Ā It is easy to understand why the discomfortĀ under water exists, the weight of the water pushes in. In theĀ airplane, the situation is just the reverse. There is less pressureĀ high in the air than down on the ground. The pressureĀ is greater inside your body and is pushing out.Ā Water weighs 62.4 pounds per cubic foot (lb/ft3). A cubicĀ foot (7.48 gal) exerts a downward pressure of 62.4 lb/ft2Ā when in actual cube shape, Figure 2. How much weightĀ is then resting on 1 in2? The answer is simply calculated.Ā The bottom of the cube has an area of 144 in2 (12 in. *Ā 12 in.) sharing the weight. Each square inch has a total pressureĀ of 0.433 lb (62.4 / 144) resting on it. Thus, the pressureĀ at the bottom of the cube is 0.433 psi, Figure 3.

Both weights are resting on a 1-square-inch (1-in2) surface. One weight exerts a pressure of 1 psi; the other a pressure of 100 psi.
Fig. 1 Both weights are resting on a 1-square-inch (1-in2) surface.Ā One weight exerts a pressure of 1 psi; the other a pressure of 100 psi.
One cubic foot (1 ft3) of water (7.48 gal) exerts pressure outward and downward. 1 ft3 of water weighs 62.4 lb spread over 1 ft2.
Fig. 2 One cubic foot (1 ft3) of water (7.48 gal) exerts pressureĀ outward and downward. 1 ft3 of water weighs 62.4 lb spread over 1 ft2.
One cubic foot (1 ft3) of water exerts a downward pressure of 62.4 lb/ft2 on the bottom surface area of a cube.
Fig. 3 One cubic foot (1 ft3) of water exerts a downward pressureĀ of 62.4 lb/ft2 on the bottom surface area of a cube.
If the bottom surface is 4 ft2, or 576 in2, the downward pressure is 0.108 psi.
Fig. 4 If the bottom surface is 4 ft2, or 576 in2, the downward pressureĀ is 0.108 psi.

A volume of 1 ft3 is equivalent to 1728 in3 (12 inches * 12 inches * 12 inches = 1728 in3), so the dimensions ofĀ the container can be changed as long as the volume remainsĀ the same. If the same 1 ft3 of water had the shape shown in
Figure 1.19 (24 inches * 24 inches * 3 inches = 1728 in3),Ā the pressure at the bottom would be different. The area atĀ the bottom would be 576 in2, since the base is 24 in. byĀ 24 in. (24 in. * 24 in. = 576 in2). The resulting pressureĀ would then be only 0.108 psi (62.4 / 576). As the baseĀ gets larger, the pressure it exerts in the downward directionĀ gets lower. Have you ever seen someone walking across theĀ snow wearing snowshoes? The purpose of the snowshoes isĀ to increase the size of the base to lower the pressure pushingĀ down. This reduces the chance of sinking into the snow.

Copied fromĀ REFRIGERATION &Ā AIR CONDITIONINGĀ TECHNOLOGY byĀ WILLIAM C. WHITMAN,Ā WILLIAM M. JOHNSON,Ā JOHN A. TOMCZYK andĀ EUGENE SILBERSTEIN