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A differential manometer is used to measure the drop in pressure across a filter at a water (rho = 1.00 g/cm3) processing plant. The density of the manometer fluid is 8.75 g/cm3. The height of the manometer fluid on side 1 is 275 mm. The height of the manometer fluid on side 2 is 293 mm. What is the pressure difference between points 1 and 2 in psi?

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Answer:

0.224 psi

Explanation:

The pressure using a differential manometer is calculated with the delta H.

Delta H = 293 - 275 = 18 mm

The formula for the pressure is:

P = rho * g * h,

where rho : density of the fluid inside the manometer

g : gravitational acceleration

h : delta H inside the manometer.

It is importar the use of units.

8.75 g/cm3 = 8750 kg/m3

g = 9.8 m/s2

h = 18 mm = 0.018 m

P = 1543,5 Pa ;  1 psi = 6894.8 Pa

P = 1543,5/6894,8 = 0.224 psi

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