Question

A U-tube contains water and methylated spirit separated by mercury. The mercury colunms in the two arms are in level with 10.0 cm of water in one arm and 12.5 cm of spirit in the other. What is the specific gravity of spirit?

Answer 1

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Answer 2

Hey !

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Height of the spirit column, h1 = 12.5 cm = 0.125 m

Height of the water column, h2 = 10 cm = 0.1 m

P0 = Atmospheric pressure

ρ1 = Density of spirit

ρ2 = Density of water

Pressure at point B = P0 + ρ1h1g

Pressure at point D = P0 + ρ2h2g

Pressure at points B and D is the same.

P0 + ρ1h1g = P0 + ρ2h2g

ρ1 / ρ2 = h2 / h1

= 10 / 12.5 = 0.8

Therefore, the specific gravity of spirit is 0.8.

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Thanks !