The basic barometer can be used tomeasure the height of a building. If the barom

Question

The basic barometer can be used tomeasure the height of a building. If the barometric readingsat the top and bottom of the building are 730mm Hg and 755mm Hgrespectively, determine the height of the building. Take thedensity of air to be 1.18 kg/m3 and the density ofmercury to be 13,600 kg/m3.


Please show all steps. The basic barometer can be used tomeasure the height of a building. If the barometric readingsat the top and bottom of the building are 730mm Hg and 755mm Hgrespectively, determine the height of the building. Take thedensity of air to be 1.18 kg/m3 and the density ofmercury to be 13,600 kg/m3.


Please show all steps.

Explanation / Answer

Hi just follow these simple steps to understand theproblem Density of air a = 1.18 kg/m^3 Density of Mercury m = 13600kg/m^3 h1=730 mmHg (Top of building) h2=755 mmHg (Bottom of building) Pressure at top of Building = P1= m*g*h1       P1 = 13600*9.81*0.73       P1 = 97393.68 N/m^2 Pressure at Bottom of Building P2=m*g*h2       P2 = 13600*9.81*0.755       P2 = 100729.08 N/m^2 But the pressure difference is equal to the weight ofthe air column      P2-P1 = a*g*ha 100729.08-97393.68 = 1.18*9.81*ha     ha = 288.14 m (Height of theBuilding)       P1 = 13600*9.81*0.73       P1 = 97393.68 N/m^2 Pressure at Bottom of Building P2=m*g*h2       P2 = 13600*9.81*0.755       P2 = 100729.08 N/m^2 But the pressure difference is equal to the weight ofthe air column      P2-P1 = a*g*ha 100729.08-97393.68 = 1.18*9.81*ha     ha = 288.14 m (Height of theBuilding)

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