This post shows the u-tube manometer Level Measurement Calculations and find out the tank level using u-tube manometer.
u-tube manometer Level Measurement
A mercury (density 13600 kg/m3) u-tube manometer is used to measure the level of a liquid (density 1000 kg/m3) in a 5 meter high container, with the zero level of the manometer, exactly in line with the bottom of the tank.
Calculate the manometer reading h, if the tank level is 3 meter.
Equating pressures on the XY line:
PX = PY
∴Patm + 1000×(3 + ½h)×9.81 = Patm + 13600×h×9.81
∴3 + ½h = 13.6h
∴13.1h = 3
∴h = 0.229 m
h= 229 mm