How does the speed `v` of sound in air depend on the atmospheric pressure P?

Velocity of sound in air depends on

Assume that the speed (v) of sound in air depends upon the pressure (P) and density rho of the air and use dimensional analysis to obtain an expression for the speed of sound.

How does the speed of sound in air vary with temperature ?

At N.T.P., the speed of sound in air is 333 m/s. Calculate the speed of sound in hydrogen at 560^(@)C and 2.5 atmospheric pressure. Air is 16 times denser than hydrogen.

Use the formula v = sqrt((gammaP)/P) to explain why the speed of sound in air: is independent of pressure.

How does the pitch of a sound depend on frequency?

Use the formula v = sqrt(( gamma p )/(rho )) to explain why the speed of sound in air is independent of pressure

How does speed os sound wave depend on the absolute temperature of ari ?