What kind of liquid is poured into a cylindrical vessel (determined by density)

What kind of liquid is poured into a cylindrical vessel (determined by density) if it produces a pressure of 2840 Pa, and the height of its column is 40 cm?

Let’s translate given in the SI system:
l = 40 cm = 0.4 m.
According to Pascal’s law:
The hydrostatic pressure inside the liquid at any depth does not depend on the shape of the vessel in which the liquid is located, and is equal to the product of the density of the liquid, the acceleration of gravity and the depth at which the pressure is determined:
P = ρ * g * h, where ρ is the density of the liquid, g is the free fall acceleration of a body raised above the Earth g = 9.8 m / s2, h is the depth of immersion in the liquid.
Let us express the density from this expression:
ρ = P / (g * h) = 2840 / (9.8 * 0.4) = 710 kg / m³
Answer: the density of the liquid is 710 kg / m³, this is gasoline.



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