Question

A U-shaped tube is partly filled with water and partly filled with a liquid that does not mix with water. Both sides of the tube are open to the atmosphere. If h1 = 0.53 m and h2 = 0.25 m, what is the density of the liquid?

Answer 1

Here is the image

Answer 2

Supposing that p1 is the desnsity of the liquid, p is the density of the water, and g is the gravity acceleration; let's choose a random intersection face at the bottom of the u-tube's bottom. Since the pressures from the both sides balance with each other, we can introduce the equation:
p1*h2*g+p(h1-h2)g=p*0.45*g
Replace the symbols h1 and h2 with 0.53 and 0.25 respectively, we can conclude that p1=0.68p=0.68E3 Kg/m3.
Good luck!

Answer 3

Thank You =)

Answer 4

we are equating both the equations
as the pressure at same level in a liquid which is in equilibrium(not moving)
is same (as it is not moving)