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Since the density of air decreases with an increase in temperature, but the bulk modulus B...

Since the density of air decreases with an increase in temperature, but the bulk modulus B is nearly independent of temperature, how would you expect the speed of sound in air vary with temperature?

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Answer #1

Speed of sound in gas is

v = sqrt(B/density)

The speed of sound depends on bulk modulus and density.

The Bulk modulus is not depending on temperature.

So the speed of sound depends only on density of air.

The speed of sound is inversely proportional to square root of density of air. The density of air decrease when the temperature increases. So the speed of sound increases with temperature.

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