Convert 1 mm of Hg into Pascals.
Take the density of Hg as [tex]13.6 \times 10^3 \, \text{kg/m}^3[/tex].
Use [tex]g = 9.8 \, \text{m/s}^2[/tex].
Answer (2)
1mm of hg pressure is supposed to be the extra pressured exerted by a column of mercury 1 mm high.
So the weight of the column of mercury = density * height * Area * g Area is the cross sectional area of the tube holding mercury.
Pressure exerted by this column = Weight / area = density * height * g = 13.6 * 10³ kg /m³ * 1* 10^-3 m * 9.81 m/sec² = 133.416 Pascal or Newton/meter²
Height = 1mm (of mercury) column in the barometer.
1 mm of Hg converts to approximately 133.416 Pascals using the formula for pressure due to a column of liquid. The calculation incorporates the height of the mercury column, its density, and the acceleration due to gravity. This conversion is essential for understanding pressure measurements in various scientific fields.
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