Toricelli’s barometer used mercury. Pascal ...

Mechanical Properties of Fluids

Question : 6 of 31

Marks: +1, -0

Toricelli’s barometer used mercury. Pascal duplicated it using French wine of density 984 kg m

^{-3}

. Determine the height of the wine column for normal atmospheric pressure.

Solution:

P

= Normal atmospheric pressure

= 1.013 \times 10^{5}\mathrm{Pa}

Let

h

be the height of the French wine column which earth’s atmosphere can support.

∴ If

P'

be the pressure corresponding to height h of wine column,

Then,

P'=h \rho_{w} g

where

\rho_{w} =

density of wine

=984 \mathrm{kg} \mathrm{m}^{-3}

Now according to given statement

P'=P

h \rho_{w} g=P

h=\frac{P}{\rho_{w} g}

=\frac{1.013 \times 10^{5}}{984 \times 9.8}

=10.5 \mathrm{m}

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