Glycerin is poured into an open U-shaped tube until the heightin both sides is 3

Question

Glycerin is poured into an open U-shaped tube until the heightin both sides is 34 cm. Ethyl alcoholis then poured into one arm until the height of the alcohol columnis 38 cm. The two liquids do not mix.What is the difference in height between the top surface of theglycerin and the top surface of the alcohol?
Note: The density of glycerin is 1260 kg/m3, the densityof ethyl alcohol is 790kg/m3.
cm Glycerin is poured into an open U-shaped tube until the heightin both sides is 34 cm. Ethyl alcoholis then poured into one arm until the height of the alcohol columnis 38 cm. The two liquids do not mix.What is the difference in height between the top surface of theglycerin and the top surface of the alcohol?
Note: The density of glycerin is 1260 kg/m3, the densityof ethyl alcohol is 790kg/m3.
cm

Explanation / Answer

one one side alcohol and glyserine are present and on theother side only glycerine is present. let height of alcohol=h height of glycerene=38-h height of glycereneon the other side=34+h now h*790*g+[38-h]1260*g=[34+h]*1260*g solving h=2.9132cm so difference between the levels=38-[34+2.9132]=1.0868cm

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