# Speed of sound

1. Sep 13, 2005

### benitta

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

2. Sep 13, 2005

### Severian596

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

3. Sep 13, 2005

### Severian596

4. Sep 13, 2005

### 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

5. Sep 14, 2005

### benitta

thanks guys...