Sound moves too fast for heat transfer, so air behaves adiabatically
Evidence
The adiabatic gas law equation is used because the disturbance moves so quickly that there is no time for heat to transfer from the compressions or rarefactions. Equation 1.2 gives a relationship between the pressure and volume of a gas which can be used to determine the strength of the air spring, or the equivalent to Young’s modulus for air, which is given by: Calculate the speed of sound in steel and in beech wood. — David Howard, Jamie Angus, coustics and Psychoacoustics, 51