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

Answer:

please mark as brillianest

Answer 2

Given:

The altitude of the tank = 1400 m

The pressure at 1400 m = 85.6 kpa

h1 = 0.1 m, h2 = 0.2 m, and h3 =0.35 m

The densities of water, oil, and mercury = 1000 kg/m³, 850 kg/m³, and 13,600 kg/m³, respectively

To Find:

Air pressure in the tank

Solution:

Pressure at point B (Refer the figure) = Pb

Pb =Pair + ροgh1 + ρwgh2 (calculated from the left side) -(1)

Now calculating from the right side,

Pb = Patm + ρmgh3 -(2)

Since equation 1 = equation 2

⇒ Pair + ροgh1 + ρwgh2 = Patm + ρmgh3

or Pair = Patm + ρmgh3 - ρwgh2 - ροgh1

Substituting the values, (taking g= 10m/s²)

Pair = 85600+46648−833−1960

= 130000 Pa

Hence, the air pressure in the tank is 130kPa.