The barometer in the atrium of the engineering building is made of multiple 10 f

Question

The barometer in the atrium of the engineering building is made of multiple 10 foot long
sections of glass tube with inner diameter of 2 inches. The tube has a vacuum at the top
of the closed tube and the reservoir of fluid is open to the atmosphere at the bottom. If
the fluid column height if 40 ft 6 inches under conditions where the pressure in the atrium
is 101.325 kPa, what is the density of the fluid in the barometer (in units of kg/m3)?

The barometer in the atrium of the engineering building is made of multiple 10 foot long sections of glass tube with inner diameter of 2 inches. The tube has a vacuum at the top of the closed tube and the reservoir of fluid is open to the atmosphere at the bottom. If the fluid column height if 40 ft 6 inches under conditions where the pressure in the atrium is 101.325 kPa, what is the density of the fluid in the barometer (in units of kg/m3)?

Explanation / Answer

presure at the top of barometer = 0 (vacuum)

at the bottom, just at the end of column,

P = 101.325 kPa ( at same hieght with the atmosphere)

rho*g*H = 101.325 kPa

40 ft 6 inches =12.344 m,

rho =101.325*10^3 /(12.344*9.81)

rho = 836.74 kg/m^3

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