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Determine the atmospheric pressure at a location where the barometric reading is 760 mm Hg and the gravitational acceleration is g=9.81m/s^2. Assume the temperature of mercury to be 10°C, at which its density is 14000 kg/m3

Respuesta :

Answer:

The atmospheric pressure is found to be [tex]104.378kPa[/tex]

Explanation:

We know that pressure exerted by a standing column of fluid is calculated using the equation

[tex]P=\rho _{fluid}\times gh[/tex]

In our case the pressure of the standing column of mercury is equal to the atmospheric pressure.

According to the given data we have

[tex]\rho _{fluid}=14000kg/m^{3}[/tex]

[tex]g=9.81m/s^{2}[/tex]

[tex]h=760mm=0.76m[/tex]

Using the values in the equation above we calculate atmospheric pressure to be

[tex]P_{atm}=14000\times 9.81\times 0.760\\\\=104.378kPa[/tex]

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