Question

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

Answer 1

Answer:

The atmospheric pressure is found to be $104.378kPa$

Explanation:

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

$P=\rho _{fluid}\times gh$

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

According to the given data we have

$\rho _{fluid}=14000kg/m^{3}$

$g=9.81m/s^{2}$

$h=760mm=0.76m$

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

$P_{atm}=14000\times 9.81\times 0.760\\\\=104.378kPa$