A mercury barometer at 25 degrees reads 30 inches. What would be the corresponding height of the column in mm if the liquid is replaced by alcohol of density 0.78 g/cm3?
show solution
PHg (density of Mercury) = 13.6 g/cm3 (1 in= 2.54 cm)
Since the second condition is in the same closed container therefore,
PHg(hHg)=
Palc(halc)
where:
PHg = Density of mercury
Palc= Density of alcohol
hHg= height of mercury
halc= height alcohol
h=30
inches x 2.54 cm/ 1
inch= 76.2 cm
halc=
PHg(hHg)/
Palc= 13.6
g/cm3(76.2 cm)/0.78
g/cm3 = 1328.6 cm= 13286 mm=
1.33 x 104 mm
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