Density and pressure relationship

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SUMMARY

The discussion centers on the relationship between density and pressure as described by the equation ∂(density)/∂(time) = (1/speed of sound²) ∂(pressure)/∂(time). This equation is applicable under the condition of thermal equilibrium, where density is influenced by both temperature and pressure. Participants referenced external resources, including a Wikipedia article and a chemistry website, to clarify the underlying principles of this relationship. Understanding these conditions is crucial for accurate application in physics and related fields.

PREREQUISITES
  • Understanding of thermodynamics, specifically thermal equilibrium
  • Familiarity with the speed of sound and its mathematical implications
  • Basic knowledge of calculus, particularly differentiation
  • Concept of how density varies with temperature and pressure
NEXT STEPS
  • Research the principles of thermal equilibrium in fluid dynamics
  • Study the derivation and implications of the speed of sound in various media
  • Explore advanced calculus techniques related to partial differentiation
  • Investigate real-world applications of the density-pressure relationship in engineering
USEFUL FOR

Students of physics, engineers working with fluid dynamics, and anyone interested in the mathematical modeling of thermodynamic systems will benefit from this discussion.

shellysharma
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I am not a physics person and came across this

diff (density)/diff (time) = (1/speed of sound^^2) diff (pressure)/diff (time)

I want to know what are conditions of application of this? I was advised that the equation assumes thermal equilibrium as density is a function of temperature and pressure. I want to be sure before going any further.

Many thanks
 
Physics news on Phys.org
http://www.chem.arizona.edu/~salzmanr/480a/480ants/kapsadex/kapsadex.html
 

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