Mechanical Properties of Fluids

Question : 6

Total: 31

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 =1.013×105Pa
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′=hρw g
where ρw= density of wine =984 kg m−3
Now according to given statement
P′=P
or hρwg=P
or h=

ρwg

1.013×105

984×9.8

=10.5m

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