The basic barometer can be used to measure the height of a building. If the barometric readings at the top and the bottom of a building are 675 and 695 mm Hg, respectively, determine the height of the building in m. Take the densities of air and mercury to be 1.18 kg/m3 and 13,600 kg/m3.

Question

Engineering

Audrina

15 April, 16:06

The basic barometer can be used to measure the height of a building. If the barometric readings at the top and the bottom of a building are 675 and 695 mm Hg, respectively, determine the height of the building in m. Take the densities of air and mercury to be 1.18 kg/m3 and 13,600 kg/m3.

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Answers (1)

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Nathen Weaver · Answer 1

230.51 m

Explanation:

Pb = 695 mmHg

Pt = 675 mmHg

Pb - Pt = 20 mmHg

Calculate dP:

dP = p * g * H = (13600) * (9.81) * (20/1000) = 2668.320 Pa

Calculate Height of building as dP is same for any medium of liquid

dP = p*g*H = 2668.320

H = 2668.32 / (1.18 * 9.81) = 230.51 m