A rectangular block of height L and horizontal cross-sectional area A floats at the interface between two immiscible liquids, as shown below. (a) Derive a formula for the block density, p b , in terms of the fluid densities p 1 and p 2 , the heights h 0 , h 1 , and h 2 , and the cross-sectional

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A rectangular block of height L and horizontal cross-sectional area A floats at the interface between two immiscible liquids, as shown below.

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(a) Derive a formula for the block density, pb, in terms of the fluid densities p1 and p2, the heights h0, h1, and h2, and the cross-sectional area A. (It is not necessary that all of these variables appear in the final result).?

(b) Force balances on the blocks can be calculated in two ways; (i) in terms of the weight of the block and the hydrostatic forces on the upper and lower block surfaces; and (ii) in terms of the weight of the block and the buoyant force on the block as expressed by Archimedes? principle. Prove that these two approaches are equivalent.

Related Book For answer-question

Elementary Principles of Chemical Processes

3rd Edition

Authors: Richard M. Felder, Ronald W. Rousseau

ISBN: 978-0471720638