physics

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Two identical containers are open at the top and are connected at the bottom via a tube of negligible volume and a valve which 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.
distance from the bottom

  • physics -

    Hydrostatic pressure P1 at the bottom of containing with mercury only,
    P1=ρ h
    where h=height of mercury
    ρ=specific gravity of mercury = 13.6
    S.G. water = 1

    Hydrostatic pressure P2 at the bottom of the container with mercury and water,
    P2=ρ(1-h)+1*1

    Equate P1=P2 and solve for h.

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