Why Is the Velocity of Sound in Gases Unaffected by Pressure Changes?

AI Thread Summary
The velocity of sound in gases remains unaffected by pressure changes because it is primarily determined by the speed of molecules, which is influenced by temperature. At a constant temperature, variations in ideal gas pressure do not impact the speed of sound, as the effects of pressure and density counterbalance each other. This means that while pressure increases density, it does not alter the speed of sound. Thus, the relationship between pressure and sound velocity in gases is neutralized under constant temperature conditions. Understanding this principle is essential for grasping the behavior of sound in gaseous environments.
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Why is velocity of sound in gases independent of pressure?
 
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Depends on speed of molecules.
Speed of molecules depends on temperature.
 
“At a constant temperature, the ideal gas pressure has no effect on the speed of sound, because pressure and density (also proportional to pressure) have equal but opposite effects on the speed of sound, and the two contributions cancel out exactly.”
http://en.wikipedia.org/wiki/Speed_of_sound
 

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