Question

a fluid has a density of 921 kg/m^3. at a depth of 1.22 m, the fluid pressure is 122,000 Pa. what is the pressure at the top of the fluid?(unit=Pa) PLEASE HELP

Answer 1

Answer:

Patm or the presion at the top is equal to 110977.28[Pa]

Explanation:

First we must define the absolute pressure value, which is equal to the sum of the atmospheric pressure plus the manometrial pressure.

$P_{abs} = P_{atm}+P_{man}\\where:\\P_{abs}=122000[Pa]$

Now we can find the manometric pressure.

$P_{man} = density*g*h\\where:\\density = 921[kg/m^3]\\g = gravity = 9.81[m/s^2]\\h = depth = 1.22[m]$

$P_{man} = 921*9.81*1.22\\ P_{man}= 11022.71[Pa]$

Therefore:

$P_{atm} = P_{abs} - P_{man} \\P_{atm} = 122000 - 11022.71\\P_{atm}= 110977.28[Pa]$