On what factors does the speed of sound depend?

Answer 1

Mostly on temperature and composition of the medium it is propagating through. You may not think temperature, but it does play a major role. There is also a weak dependence on frequency (pitch) and pressure.

The propagation of sound depends on molecules moving and pushing against other molecules. Different substances have different resistances to molecules pushing on other molecules. Density also affects how much the molecules resist being pushed around - so the speed of sound depends on that. Temperature affects density and also the inter-molecular forces that influence how the molecules resist being pushed around and how freely they will move and push against other molecules (thus propagating the sound wave). The dependency on pressure comes into play particularly in gases when the gas gets compressed enough to have a noticeable deviation from ideal gas behavior. The dependence on frequency has to do with the fact that gases are made up of molecules, which respond differently to different frequencies depending on the harmonic frequencies of the vibrations of the atoms in the molecules.

Note that in solids, the speed of sound can also be affected by the structure of the solid - traveling at a different speed when moving "with the grain" than they do when moving "across the grain".

Answer 2

speed of sounds depnds upon density,elasticity and temprature