Mercury & Water Flow in U-Tube: Determining the Length & Height

Click For Summary
SUMMARY

The discussion focuses on a U-tube experiment involving mercury and water. The left arm of the U-tube has a cross-sectional area of 10.0 cm2, while the right arm has an area of 5.00 cm2. After pouring 100 grams of water into the right arm, participants are tasked with calculating the length of the water column and the height to which mercury rises in the left arm, given mercury's density of 13.6 g/cm3.

PREREQUISITES
  • Understanding of fluid mechanics principles
  • Knowledge of density and pressure calculations
  • Familiarity with U-tube manometer concepts
  • Basic algebra for solving equations
NEXT STEPS
  • Calculate fluid pressure differences in U-tube systems
  • Explore the principles of hydrostatic equilibrium
  • Learn about the applications of manometers in measuring pressure
  • Investigate the effects of varying cross-sectional areas on fluid height
USEFUL FOR

Students studying physics, engineers working with fluid dynamics, and anyone interested in practical applications of hydrostatics.

ronald29
Messages
1
Reaction score
0
Mercury is poured into a U-tube. The left arm of the tube has cross-sectional area A1 of 10.0 cm2, and the right arm has a cross-sectional area A2 of 5.00 cm2. One hundred grams of water are then poured into the right arm.(a) Determine the length of the water column in the right arm of the U-tube. (b) Given that the density of mercury is 13.6 g/cm3, what distance h does the mercury rise in the left arm?
 
Physics news on Phys.org
Welcome to PF!

Hi ronald29! Welcome to PF! :wink:

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 

Similar threads

Pressure-related problem with Mercury and Water in a U-tube
  • · Replies 18 ·
Replies
18
Views
7K
Pressure measurement in U tube with mercury and water
  • · Replies 3 ·
Replies
3
Views
4K
Fluid mechanics - Pascal's principle
  • · Replies 2 ·
Replies
2
Views
2K
U-Tube Fluid Statics: Solving for Water Column Length and Mercury Rise
  • · Replies 4 ·
Replies
4
Views
4K
Density of Flow Along a Tube Under the Action of Advancing Piston
  • · Replies 11 ·
Replies
11
Views
2K
Mercury barometer with a small amount of air
  • · Replies 7 ·
Replies
7
Views
2K
Calculating Rise of Mercury in U-tube with Water
  • · Replies 1 ·
Replies
1
Views
4K
Calculating Work Done by Gas in a Mercury-Filled U-Tube with Right Angle Bends"
  • · Replies 10 ·
Replies
10
Views
3K
Pressure in u-tube of mercury with added water
  • · Replies 1 ·
Replies
1
Views
15K
Calculating Liquid Height Difference in U-Tube | Fluid Mechanics Homework
  • · Replies 4 ·
Replies
4
Views
3K