What pressure is produced by a column of mercury 1mm high, a column of water of the same height?
January 17, 2021 | education
| Given:
h = 1 millimeter = 0.001 meter – the height of the columns of mercury and water;
ro1 = 1000 kg / m ^ 3 – water density;
ro2 = 13540 kg / m ^ 3 is the density of mercury;
g = 10 m / s ^ 2 – acceleration of gravity.
It is required to determine the pressure of the columns of water and mercury P1 and P2 (Pascal).
The pressure that the water column produces:
P1 = ro1 * g * h = 1000 * 10 * 0.001 = 10 Pascal.
The pressure that the column of mercury produces:
P2 = ro2 * g * h = 13540 * 10 * 0.001 = 135.4 Pascal.
Answer: A column of mercury produces a pressure of 135.4 Pascal; a column of water produces a pressure of 10 Pascal.
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