Torricelli’s barometer used mercury. Pascal duplicated it using French wine of density 984 kg/m³. Determine the height of wine column for normal atmospheric pressure.

Solution

Density of wine = 984 kg/m³

Now, according to Pascal's law, we have

Pressure due to height column of liquid is,

P = ρgh

... (1)

The normal atmospheric pressure is 760 mm og Hg.

If h' is the height column of wine corresponding to one atmospheric pressure, then

P = σgh'

... (2)

where

σ

is the density of the wire.

Now from equations (1) ad (2), we get

ρgh = σgh' \Rightarrow h' = \frac{ρh}{σ} = \frac{13600 \times 0.76}{984} = 10.5 m

,

is the height of wine column for normal atmospheric pressure.

Some More Questions From Mechanical Properties of Fluids Chapter

For Daily Free Study Material Join wiredfaculty