The outside air pressure changes from 1.0 atm to 1.1 atm. The mass density of mercury is 13,534 kg/m3.By how much does mercury in a barometer rise?

The mercury in the barometer rises by a height of 0.0764 m = 76.4 cm = 764 mm

Explanation:

The change in pressure is related to the density of fluid and height risen by the fluid through the relation

ΔP = ρgh

ΔP = change in pressure = P₂ - P₁ = 1.1 - 1.0 = 0.1 atm = 0.1 × 101325 Pa = 10132.5 Pa

ρ = density of the fluid = 13,534 kg/m³

g = acceleration due to gravity = 9.8 m/s²

h = height through which the mercury in barometer rises = ?

10132.5 = 13534 × 9.8 × h

h = (10132.5) ÷ (13534 × 9.8)

h = 0.0763948996 = 0.0764 m = 76.4 cm = 764 mm

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