How Does Pressure Difference Determine Fluid Density?

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SUMMARY

The discussion centers on calculating fluid density using pressure difference. A cubical box measuring 25.00 cm on each side is submerged in a fluid, with the pressure at the top surface recorded at 109.4 kPa and at the bottom at 112.0 kPa. The density of the fluid can be determined using the formula ΔP = ρgh, where ΔP is the pressure difference, ρ is the fluid density, g is the acceleration due to gravity, and h is the height of the fluid column. The pressure difference of 2.6 kPa can be used to find the fluid density by rearranging the formula.

PREREQUISITES
  • Understanding of fluid mechanics principles
  • Familiarity with the formula ΔP = ρgh
  • Basic knowledge of pressure measurement in kPa
  • Concept of hydrostatic pressure
NEXT STEPS
  • Study hydrostatic pressure calculations in fluids
  • Learn about the relationship between pressure, density, and height in fluid statics
  • Explore applications of the formula ΔP = ρgh in real-world scenarios
  • Investigate the effects of temperature on fluid density
USEFUL FOR

Students in physics or engineering, educators teaching fluid mechanics, and professionals involved in fluid dynamics or related fields will benefit from this discussion.

drewsteriam
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Ok here goes,
A cubical box 25.00 cm on each side is immersed in a fluid. The pressure at the top surface of the box is 109.4 kPa and the pressure on the bottom surface is 112.0 kPa. What is the density of the fluid.

I know density=mass/volume and I know my teacher gave us another long formula in class that I never understood so that is about all I know about these problems.

My attempt at a solution: I don't even know what the problem is asking so I don't have much of an attempt at it. If anyone could explain the concept to me and/or let me know of some formulas that might help me that would be great. Thanks
 
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What is the density of the fluid.

The change in pressure is simply \rhogh, where \rho is the fluid density and h is the differential height over which the pressure difference is measured.

http://hyperphysics.phy-astr.gsu.edu/hbase/pflu.html

So knowing the pressure at bottom is 109.4 kPa and at top the pressure is 112.0 kPa, equate the difference to \rhogh.
 

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