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

Question

Two identical containers are open at the top and are connected atthe bottom via a tube of negligible volume and a valve which isclosed. Both containers are filled initially to the same height of1.00m, one with water, the other with Mercury. The valve is thenopened. Water and Mercury are immiscible. Determine the fluid levelin the left container (water) when equilibrium is reestablished.Distance from the bottom.

Density water: 1000 kg/m^3
Density Mercury: 13,600 kg/m^3

Answer: 1.46m

Please walk me through this problem. Thanks!

Explanation / Answer

The height of Hg on the right side, = 1 - y Total pressure on the left, p1 = 1.0x1.0x g + yx13.6g = Pressure on the right side, p2 =hdg = y x13.6xg Equating the right and left side pressures,                               1 + 13.6 y = (1-y)x13.6                                     27.2 y = 13.6 - 1 = 12.6                                             y = 12.6/27.2 = 0.463 m Total height of the fluid level on the left,                                      H = 1.0 +0.463 = 1.463 m

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