# Two liquid barometers – mercury and water – are located next to each other.

June 29, 2021 | education

| **Two liquid barometers – mercury and water – are located next to each other. In which of them will the liquid column be higher and by how many times?**

Under normal conditions, the pressures in the mercury and water barometers will be the same and equal to the value of atmospheric pressure.

Patm. = ρ1 * g * h1 = ρ2 * g * h2, where ρ1 is the density of mercury (ρ1 = 13600 kg / m ^ 3), g is the acceleration of gravity, h1 is the height of the mercury column, ρ2 is the density of water (ρ = 1000 kg / m ^ 3), h2 is the height of the water column.

Then:

ρ1 * g * h1 = ρ2 * g * h2; ρ1 * h1 = ρ2 * h2.

h2 / h1 = ρ1 / ρ2.

h2 / h1 = 13600/1000 = 13.6.

Answer: The liquid column of water will be 13.6 times higher.

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