Calculate Height of Manometer with 70KN/m^2 Diff Pressure

[Mongster]

In a reservoir of a well type manometer, the sealing liquid is mercury having a weight density of 132.5 KN/m^3. If the area of the well is 0.02m^2 and that of the tube is 40mm^2. Calculate the height of the measuring column if the applied differential pressure is 70KN/m^2.

Relevant formulae: P1-P2
=ρ.m(g)(h)(a2/a1 + 1)

Attempt at question.

70=132.5(9.81)(h)(0.00004/0.02 + 1)
70=1335.98664(h)
h=0.05239573354m
=52.39573354mm

Set up is similar as shown below

The answer provided is 527mm. I can't spot any mistakes in my calculations too.

 

[Chestermiller]

Well, for one thing, you don't need the factor of 9.81 since that is already included in the "weight density" 132.5kN/m^3.

Chet

 

[Mongster]

Hey thanks a lot for pointing that out! Didn't realize I've made such a silly error. :D