An acoustic wave alphaagates through nitrogen under standard conditions. At what frequency will the wavelength be equal to the mean free path of the gas molecules ?

An acoustic wave alphaagates through nitrogen under standard condition

1.	An acoustic wave alphaagates through nitrogen under standard conditions. At what frequency will the wavelength be equal to the mean free path of the gas molecules ?
Answer» The velocity of sound in `N_2` is `sqrt((gamma p)/(rho)) = sqrt((gamma RT)/(M))` so, `(1)/(v) = sqrt((gamma RT_0)/(M)) = (RT_0)/(sqrt(2) pi d^2 p_0 N_A)` or, `v = pi d^2 p_0 N_A sqrt((2 gamma)/(MRT_0))`.

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An acoustic wave alphaagates through nitrogen under standard conditions. At what frequency will the wavelength be equal to the mean free path of the gas molecules ?

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