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1.A barometer is used to measure atmospheric pressure and is filled with a high

ID: 2993701 • Letter: 1

Question

1.A barometer is used to measure atmospheric pressure and is filled with a high density fluid.The pressure, P is measured by a barometer is the height of the fluid column,h, times the density of the liquid,p, times the acceleration due to gravity, g or P=pgh.

This equation is solved for the height: h=P/pg. Find the height to which the liquid column will rise for pressures from 0 to 100 kPa for two different barometers. Assume that the first uses mercury , with a density of 13.56 g/cm^3(13,560 kg/m^3) and the second uses water, with a density 1.0 g/cm^3 (1000 kg/m^3). The accelleration due to gravity is 9.81 m/s^2. Your answer should be a two dimensional matrix.


Explanation / Answer

Using the given expression and substituting the values of pressure 100*103 Newton per meter square and acceleration due to gravity as 9.81 metre per seconds2 and the density of fluid in the barometer.

We found that

Height of mercury column = h1 = 0.7517 metres and height of water column = 10.1936 metres, the variation in the values is because of the adhesion and cohesion properties of the fluid, mercury is strong in cohesion and which shows capillary drop.

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