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If the column of mercury in a barometer stands at 36.3 cm, what is the atmospheric pressure?

(The density of mercury is [tex]13.6 \times 10^3 \, \text{kg/m}^3[/tex] and [tex]g[/tex] is the acceleration due to gravity.)

Answer :

If the column of mercury in a barometer stands at 36.3 cm the atmospheric pressure ≈ 49,907.04 Pascal (Pa).

To determine the atmospheric pressure based on the height of the mercury column in a barometer, you can use the equation for hydrostatic pressure:

Pressure = Density x Gravitational acceleration x Height

We have:

Density of mercury (ρ) = 13.6 x 10³ kg/m³

Gravitational acceleration (g) = 9.8 m/s²

Height (h) = 36.3 cm = 0.363 m

Plugging in these values into the equation

Pressure = ρ x g x h

Pressure = (13.6 x 10³ kg/m³) x (9.8 m/s²) x (0.363 m)

Pressure ≈ 49,907.04 Pa

Therefore, the atmospheric pressure is approximately 49,907.04 Pascal (Pa).

To know more about atmospheric pressure refer here:

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