In the mountains, atmospheric pressure is 80 kPa. How high does the mercury rise there in the barometer?

P = 80 kPa = 80,000 Pa.
ρ = 13 540 kg / m ^ 3.
g = 9.8 m / s ^ 2.
h -?
Since mercury is a liquid metal, the hydrostatic pressure formula is valid for it: Р = ρ * g * h.
Where ρ is the density of the substance, g is the acceleration of gravity, h is the height of the liquid column.
h = P / ρ * g.
h = 80,000 Pa / 13,540 kg / m ^ 3 * 9.8 m / s ^ 2 = 0.603 m.
Answer: the mercury in the barometer will rise to a height of 0.603 meters or 603 mm.



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