How high should the height of the column of mercury and the column of alcohol be if this column produces a pressure of 10 ^ 5?
February 13, 2021 | education
| The height of the column of mercury and the column of alcohol can be expressed from the formula:
Р = ρ * g * h, where ρ is the density, g is the acceleration of gravity (let us assume g = 9.81 m / s2), h is the height of the column.
Set pressure P = 10 ^ 5 Pa.
Mercury: ρ = 13546 kg / m3; post height h = P / (ρ * g) = 10 ^ 5 / (13546 * 9.81) = 0.7525 m = 752.5 mm.
Alcohol: ρ = 789.3 kg / m3; column height h = P / (ρ * g) = 10 ^ 5 / (789.3 * 9.81) = 12.91 m.
Answer: The height of the column of mercury is 752.5 mm, the height of the column of alcohol is 12.91 m.
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