Question

How is sound wave quasistatic?

Answer 1

Sound waves is approximately adiabatic; however, for any adiabatic compression, one needs to assume quasi-static process in order to derive VrP=ConstantVrP=Constant, and then obtain the speed of sound vs=rPσ−−−√vs=rPσ (from vs=Bσ−−√vs=Bσ , where B=ΔP−ΔV/VB=ΔP−ΔV/V , σσ is density of medium.)

but given sound wave is so fast, how come this become a good approximation

Answer 2

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✔️✔️Adiabatic just means no heat transfer.

When a sound wave passes, it compresses and uncompresses the air very quickly

VrP=ConstantVrP=Constant, and then obtain the speed of sound

vs=rPσ−−−√vs=rPσ (from vs=Bσ−−√vs=Bσ , where

B=ΔP−ΔV/VB=ΔP−ΔV/V , σσ is density of medium.)

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