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.
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Answer:
Density of mercury, ρ
1
=13.6×10
3
kg/m3
Height of the mercury column, h
1
=0.76m
Density of French wine, ρ
2
=984kg/m3
Height of the French wine column =h
2
Acceleration due to gravity, g=9.8m/s
2
The pressure in both the columns is equal, i.e.,
Pressure in the mercury column = Pressure in the French wine column
ρ
1
h
1
g=ρ
2
h
2
g
h
2
=ρ
1
h
1
/ρ
2
=13.6×10
3
×0.76/984=10.5 m
Hence, the height of the French wine column for normal atmospheric pressure is 10.5 m.
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