Question

The water in a tank is pressurized by air, and the pressure is measured by a multi-fluid manometer as shown in fig. the tank is located on a mountain at an altitude of 1400 m where the atmospheric pressure is 85.6 kpa. determine the air pressure in the tank if h1 = 0.1 m, h2 = 0.2 m, and h3 =0.35 m. take the densities of water, oil, and mercury to be 1000 kg/m3, 850 kg/m3, and 13,600 kg/m3, respectively.

Answer 1

The air pressure in the tank is = 130 kPa

Step-by-step explanation:

Given the formula

P1 + p(water)gh1 - p(oil)gh2 + p(hg)gh3 = Patm

P1 = Patm + p(hg)gh3 - p(water)gh1 - p(oil)gh2

= 85.6 kPa - (9.81 m/s^2)
`\left[\begin{array}{ccc}3600 (km)/(m^(3) ) &0,35 m\\1000 (km)/(m^(3) ) &0,1 m\\850 (km)/(m^(3) ) &0,2 m\end{array}\right]` 1 kPa / 1000 Pa

= 130 kPa