A mercury barometer is an instrument in which the weight of a column of mercury in a glass tube with a sealed top is balanced against that of the atmosphere pressing on an exposed cistern of mercury at the base of the mercury column. The height of the column varies with atmospheric pressure. What is the height of the mercury column if you are on top of a mountain where the pressure of the atmosphere is 0.455 atm? The density of mercury is 13.6 / cdot 10 ^3⋅10 3 kg/m^3 3 .

Question

Chemistry

Miller

2 August, 23:42

A mercury barometer is an instrument in which the weight of a column of mercury in a glass tube with a sealed top is balanced against that of the atmosphere pressing on an exposed cistern of mercury at the base of the mercury column. The height of the column varies with atmospheric pressure. What is the height of the mercury column if you are on top of a mountain where the pressure of the atmosphere is 0.455 atm? The density of mercury is 13.6 / cdot 10 ^3⋅10 3 kg/m^3 3 .

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Answers (1)

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Tyrese Sherman · Answer 1

h = 0.346 m

Explanation:

mercury barometer:

Pa = ρgh

∴ Pa = 0.455 atm = 46102.875 Pa = 46102.875 Kg/ms²

∴ ρ = 13600 Kg/m³

∴ g = 9.80 m/s²

⇒ h = (46102.875 Kg/ms²) / (13600 Kg/m³) (9.80 m/s²)

⇒ h = 0.346 m