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The speed of sound is greater in colder air. Just as sound travels faster in a solid than through air, it travels faster through the more dense air (colder) than the less dense air (warmer). This has to do with the probability of collisions in relation to density...after all, pressure is the sum of many molecular collisions and sound is a pressure wave. This is why the two cups on the ends of string works; the sound travels better through the solid string than through the air.
The speed of sound c = √(p/ρ) where p=pressure and ρ=density
Where did this come from
Wait...I thought the speed of sound followed directly from the KMT of gases?! More dense means more collisions per unit time and thus faster propagation of sound!!!
So why does sound travel faster in solids and liquids than in gases?