Could someone please EXPLAIN how to solve this I need to und

Could someone please EXPLAIN how to solve this. I need to understand the process. The answer is 0.5401 but I need to know how to get there. Thanks in advance for the help!

A manometer is attached to a tank containing three different fluids as shown in the image below. Find the difference in elevation of the mercury column in the manometer, i.e. Vu. The gage pressure of the air is 24 (kPal The liquid elevations are y1 2.5 (m), y2 -4.2 (m) and y37 (m). Y3 Air, Pressure P y2 Oil SG=0.82 y1 H20 Mercury SG=13.6 Yo=0

Solution

using bernoulli\'s equation,

P1 - P2 = row*g*h

as we go down through the fluid pressure increase and as we go up pressure decreases.

Patm + (24 x 10^3) + (820 x 9.81 x (4.2 - 2.5)) + (1000 x 9.81 x (2.5 +1)) - (13600 x 9.81 x y ) = Patm

72010.14 - 133416y = 0

y = 0.54 m .......Ans