The pictured U-tube is open to the atmosphere at both ends. Assume that the myst

Question

The pictured U-tube is open to the atmosphere at both ends. Assume that the mystery

fluid does not mix with the mercury.

a) Let p0 represent atmospheric pressure, ?Hg represent the density of mercury, and ?f

represent the density of the mystery fluid. Obtain an algebraic expression for the

density of the mystery fluid in terms of some or all of the following: h1, h2, h3, and

?Hg

b) If h1= 2.55 cm and h2 = 25.00 cm (clearly the figure is not to scale), then what is

the most likely identity of the mystery fluid? On what scientific evidence did you

base your choice?

Thanks for any help!

The pictured U-tube is open to the atmosphere at both ends. Assume that the mystery fluid does not mix with the mercury. Let p0 represent atmospheric pressure, ?Hg represent the density of mercury, and ? f represent the density of the mystery fluid. Obtain an algebraic expression for the density of the mystery fluid in terms of some or all of the following: h1, h2, h3, and ?Hg If h1= 2.55 cm and h2 = 25.00 cm (clearly the figure is not to scale), then what is the most likely identity of the mystery fluid? On what scientific evidence did you base your choice?

Explanation / Answer

(h2 + h1)*pf*g = h1*pHg*g, then pf = (h1*pHg)/(h1+h2)

then pf = 13.6*2.55/(25+2.55) = 1.26 gm/cm^3

this mystery fluid is glycerine on scientific basis which is little more denser than water

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