Density, volume, and height of liquid?

Question

A narrow U-shaped glass tube with open ends is filled with 25.0 cm of oil (of specific gravity 0.800) and 25.0 cm of water on opposite sides, with a barrier separating the liquids.

1) Assume that the two liquids do not mix, and find the final height of the columns of liquid in each side of the tube after the barrier is removed.

2) What would the heights be if the oil's density were much less than that of water?

Please help me........thanks~

Answer 1

25 * .8 + x = (25 - x)



2x = 25 - 20



x = 2.5 cm



1) In one limb, water at 25 - 2.5 = 22.5 cm



In other limb, bottom 2.5 cm water and above it, 25 cm of oil.



2) Water alone height will be much smaller.

Answer 2

I will assume that an equal volume of the two fluids were placed into the u-tube, with each top being AT the 25cm mark..

Then, when the barrier is removed, the heavier water(sp1.00) will drop and the lighter oil will rise, without the fluid mixing.

Thewater will now be at the 22.5 cm mark, and the oil will be at 27.5cm mark....equilibrium is established.





2...If the oil is lighter,still, the water will drop lower, to establish equil.

Answer 3

22.22 for water and 27.77 for oil Part A answer

Answer 4

relies upon on the way you p.c. to outline "density" one elementary definition is mass in keeping with unit quantity, applying that definition, you will no longer prepare that "tension=height *Density of liquid" Now if one used the the definition for "specific weight" i.e. "weight in keeping with unit quantity of a fabric" then it form of feels self obtrusive that "tension=height *specific weight of liquid" we'd initiate with: "what's distinction between mass density and weight density and the thank you to transform mass density into weight density?" the adaptation is acceleration, many times the acceleration of gravity, approximately 9.8m/2nd^2 prevalent, for the liveable factors of Earth case in point, a million cubic meter of water (at 4°C and 1atm) has a mass of 1000kg, and a weight (on the earth) of roughly 9800 newtons. the strain exerted on the backside of a a million meter cube (a million meter severe) is 9800N/m^2 or 9800Pa or 9.8kPa because of the fact that a million atm is approximately 101kPa, a column of water approximately 10.3 meters severe might equivalent a million atm.

Answer 5

U Shaped Glass Tube