Hydrostatics, find length of kerosene column in U tube

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Homework Help Overview

The problem involves a U-shaped tube containing water and kerosene, where the heights of the fluids are manipulated to determine the length of the kerosene column based on hydrostatic principles.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the heights of water and kerosene, questioning whether one side of the tube contains only water and the other only kerosene. There are attempts to clarify the setup and the calculations involved in determining the pressure at the bottom of the fluids.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the fluid arrangement in the tube. Some guidance has been offered regarding the pressure calculations based on the heights of the fluids, but no consensus has been reached on the correct approach to find the length of the kerosene column.

Contextual Notes

There is a mention of specific heights of water on both sides of the tube, and the density of kerosene is provided. Participants are also considering the implications of their assumptions about the fluid distribution in the U-tube.

Ishraq Begum
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Homework Statement


A glass tube is bent into a U shape. Water is poured into the tube until it sands 12 cm high on each side. Kerosene (density = 870 kg/m3) is added slowly to one side until water on the other side raises 5 cm. What is the length of kerosene column?

Homework Equations


(ρhg)1 = (ρhg)2

The Attempt at a Solution


Taking h1 = 17 cm
then h2 = (17 ⋅ 1000) / 870
so, h2 = 19.5
but the answer in the textbook is given as 11.5
 
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In the end, is one side purely water and the other purely kerosene? Make a sketch.
 
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Likes   Reactions: Ishraq Begum
gneill said:
In the end, is one side purely water and the other purely kerosene? Make a sketch.
https://ibb.co/iVWqXR
It is something like this.
 
Ishraq Begum said:
https://ibb.co/iVWqXR
upload_2018-1-12_10-43-17.png

It is something like this.
Okay, and do your calculations reflect that scenario?
 

Attachments

  • upload_2018-1-12_10-43-17.png
    upload_2018-1-12_10-43-17.png
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There are 17 cm of water on one side, and only 7 cm of water on the other side, with h cm of kerosene above the water on that side. What is the pressure at the bottom, as determined by the heights of the fluids on the two sides sides?
 

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