A circular manometer tube is connected to the top and bottom of a 6 m diameter s

Question

A circular manometer tube is connected to the top and bottom of a 6 m diameter spherical tank, as shown in the figure below. The interface between the two liquids in the tank is at the mid-height of the tank. Given that the system is in equilibrium, determine the density of the lower liquid in the tank and the gauge pressure at the centre-line of the tube at the bottom of the manometer (location A) given that the gauge pressure at the centre of the tank is 10 kPa. Take the density of water as 1,000 kg/m3. Note that the fluid interface in the left hand side of the manometer (location B) is at the same elevation as the bottom of the tank.

Explanation / Answer

rho*g(4+3+3+3)=25000*4+1.1*10^3*g*(3+3+3)

rho=1545.60kg/m^3 ans

PA=10*10^3+(1545.60*9.81*7)+(25000*1)

   =141.13 KPa

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