Two identical containers are open at the top and are connected at the bottom via

Question

Two identical containers are open at the top and are connected at the bottom via a tube of negligible volume and a valve that is closed. Both containers are filled initially to the same height of 1.00 m, one with water, the other with mercury, as the drawing indicates. The valve is then opened. Water and mercury are immiscible. Determine the fluid level in the left container when equilibrium is reestablished.

Explanation / Answer

At the valve pressure must be equal => (1000*1*9.8) + (13500*x*9.8) = 13500*(1-x)*9.8. .........On solving, we get x = 0.462 m. Hence fluid level in the left container = 1 + x = 1.462 m

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