Question #264366

a fluid with a vapor 0.4 pascal and the specific gravity of 14 is used in a barometer. the fluids column height is 0.8m.find the atmospheric pressure in kpa


1
Expert's answer
2021-11-16T19:21:48-0500

Density of the fluid ρ\rho = specific gravity ×\times density of water =14×1000=14000kg/m3=14\times 1000=14000kg/m^3

Let Pv=P_v= vapor pressure=0.4.

From the principle of barometer, we have ρgh=PatmPv\rho gh=P_{atm}-P_v

Patm=ρgh+Pv=14000×9.8×0.8+0.4=109760.4PaP_{atm}=\rho gh +P_v=14000\times 9.8\times 0.8 +0.4=109760.4Pa

Patm=109.7604kpaP_{atm}=109.7604kpa


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