Effect of Humidity and Density on Speed of sound

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SUMMARY

The speed of sound is influenced by humidity and density, with increased humidity leading to a higher speed of sound due to decreased air density. While some sources suggest that the speed of sound is nearly independent of pressure or density for a given gas, the equation for speed of sound, c=sqrt(γRT/M), indicates that both the ratio of specific heats (γ) and molar mass (M) are affected by humidity. In solid materials like iron, sound propagates faster due to both stronger intermolecular interactions and greater density compared to air.

PREREQUISITES
  • Understanding of the speed of sound equation: c=sqrt(γRT/M)
  • Basic knowledge of gas laws and properties
  • Familiarity with the concepts of humidity and density
  • Knowledge of intermolecular forces in different materials
NEXT STEPS
  • Research the impact of humidity on sound speed in various gases
  • Explore the relationship between density and sound propagation in solids
  • Study the effects of temperature on the speed of sound
  • Investigate the role of intermolecular interactions in sound transmission
USEFUL FOR

Physicists, acoustics engineers, and anyone studying the properties of sound in different media will benefit from this discussion.

FysicsPhorums
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Hi, I've been trying to look up the effects of density and humidity on the speed of sound, and I've been finding conflicting results. Some websites have stated that increased humidity will increase the speed of sound because of decreased density in the air, but wikipedia's speed of sound article states that the speed of sound "is nearly independent of pressure or density for a given gas".

Also, I'm familiar with the example that sound propagates faster through iron than in air, but is this due to stronger intermolecular interactions or the greater density of the material (or both)?

Can someone help clarify how humidity and density affect the speed of sound? Thanks
 
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The speed of sound c is given by:

c=sqrt(\gamma R T/M)
where \gamma is the ratio of specific heats, R the gas constant, T the temperature and M the molar mass.
Both \gamma and M change with humidity but the change is so small I wouldn't bother in a "standard" situation.
 

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