Calculating Rise of Mercury in U-tube with Water

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SUMMARY

The discussion focuses on calculating the rise of mercury in a U-tube when 12.3 cm of water is added to one side. The densities provided are 1000 kg/m³ for water and 13534 kg/m³ for mercury. The key to solving the problem lies in understanding the pressure difference created by the water column, which directly affects the height of the mercury in the left arm of the tube. The relationship between the heights of the fluids and their respective densities is crucial for determining the final height of the mercury.

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  • Understanding of fluid statics
  • Knowledge of pressure calculations in U-tube manometers
  • Familiarity with the concept of density and its impact on fluid behavior
  • Basic algebra for solving equations
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  • Review fluid statics principles, particularly in U-tube configurations
  • Study pressure calculations involving different fluid densities
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tigers4
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Homework Statement


A simple open U-tube contains mercury. When 12.3 cm of water is poured into the right arm of the tube, how high above its initial level does the mercury rise in the left arm?



Homework Equations


density of water=1000kg/m^3
density of mercury=13534 kg/m^3



The Attempt at a Solution


no clue, I am assuming it has something to do with density
 
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hi tigers4! :smile:

hint: if the mercury is h higher on one side than the other, what is the difference in pressure between the bottoms of the two sides of the U-tube? :wink:
 

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