# Speed of sound

## Main Question or Discussion Point

how does the speed of sound vary with temperature in an ideal gas? how do we derive this relation?

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Isn't the speed of sound directly proportionate to the medium's density?

FredGarvin
The speed of sound is proportional to the square root of the absolute temperature:

$$c = \sqrt{k R T}$$

where:
c = speed of sound
k = ratio of specific heats (1.4 for air)
R = Ideal gas constant
T = Temperature

thanks guys...