) Calculate the pressure of the liquid of density 13.6 g/cubic cm, in pascal when it falls from a height of 4m on the surface. (Acceleration due to gravity is 9.8 m/sq. sec.)
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This value is the pressure due to the weight of a fluid. The equation has general validity beyond the special conditions under which it is derived here. Even if the container were not there, the surrounding fluid would still exert this pressure, keeping the fluid static. Thus the equation P = hρg represents the pressure due to the weight of any fluid of average density ρ at any depth h below its surface. For liquids, which are nearly incompressible, this equation holds to great depths. For gases, which are quite compressible, one can apply this equation as long as the density changes are small over the depth considered. Example 2: Calculating Average Density: How Dense Is the Air? illustrates this situation.
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