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Pressure

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tigerthakur | 15:25 Mon 22nd Apr 2013 | Science
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if pressure increases then the speed of sound
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It temperature drops then the age of man
Is there more to come?
slows?
...will stay the same. The speed of sound in air depends on air temperature, not pressure. The lower the temperature, the slower the speed of sound.
heathfield you should be an interpreter.
Heathie:
but the speed of LIGHT in a gas does depend on pressure doesnt it?
(I agree that isnt the q asked)
which is why you can 'see' blast waves isnt it ?

( thanks ) PP
Whoops, healthfield - Don't forget that pressure itself depends on temperature via pV = NkT where k = Boltzmann constant, so that if anything depends on temperature it may also depend on pressure.

The precise dependence is determined by the law involved - the general relationship is c^2 = dp/dr where c = speed of sound, p = pressure and r = density. In general sound speed increases with pressure.
Should add that while in general there is a pressure dependence, in the ideal case this does vanish.
The speed of sound increases with density. Temperature and pressure may influence the density but do not of themselves influence the speed of sound.
In ideal gases it's temperature. My post earlier was strictly correct but overcomplicated things. The law in ideal gases is:

"sound speed squared is directly proportional to temperature"

, with only variables cancelling through the ideal gas law. In non-ideal gases pressure and density can play a weaker role.
Great answers to a non-question. :-)
Apologies to heathfield for implying that he was wrong when he was not. I should have checked my memory and notes better.
Noooo problem, Jim. Just something I remembered from my school days!

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