The basic barometer can be used to measure the height of a building. A curious s

Question

The basic barometer can be used to measure the height of a building. A curious student took a simple mercury barometer to do so and found out that the barometric readings at the top and at the bottom of a building are 730 and 755 mm Hg. Respectively. Taking the densities of air and mercury to be 1.18 Kg/m^3 and 13.600 Kg/m^3, respectively, answer the following questions: Pressure (KPa approx.) at the top of the building. Pressure(kPa approx.) at the bottom of the building Pressure difference(kPa approx.) at these two points. Determine the height (m approx.) of the building.

Explanation / Answer

D) P top = 730 mmHg = ( 13.570 ( kg/m3) * 9.81 (m/s2) *(.730 m) )/1000 =97.4 KPa
convert from mmHg to KPa

P bott = 755 mmHg = (13.570 ( kg/m3) * 9.81 (m/s2) * .755 (m) ) / 1000 = 100.73 KPa

P bott - P top = p*g/1000 (h2 - h1 ) _____________ p for air becouse we detarmane hight ..

(100.73-97.4)/p*g/1000= h2 - h1

3.3/0.0116 = H

so the Hight is = 284.48 m

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