Solved: Sound waves in a gas can only propagate if the
Chapter , Problem 75(choose chapter or problem)
Sound waves in a gas can only propagate if the gasmolecules collide with each other on the time scale of thesound waves period. Thus the highest possible frequency/max fr a sound wave in a gas is approximately equalto the inverse of the average collision time betweenmolecules. Assume a gas, composed of molecules withmass m and radius r, is at pressure P and temperature T.(a) Show that/max -(b) Determine /max for 20C air at sea level. How manytimes larger is /max than the highest frequency in the humanaudio range (20 kHz)?
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