A column of water exerts a pressure of 20 kPa on the bottom of the vessel.

A column of water exerts a pressure of 20 kPa on the bottom of the vessel. What pressure will a column of mercury of the same height exert on the bottom of the vessel

To find the required pressure of mercury at the bottom of the vessel used, you can use the equality: Рв / ρв = g * h = Ррт / ρрт, whence we express: Ррт = Рв * ρрт / ρв.

Constants and variables: Рв – water pressure (Рв = 20 kPa); ρрт – density of mercury (ρрт = 13000 kg / m3); ρw is the density of water (ρw = 1000 kg / m3).

Calculation: Ррт = Рв * ρрт / ρв = 20 * 13000/1000 = 260 kPa.

Answer: A column of mercury of appropriate height will exert a pressure of 260 kPa.

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