please help with these frequency questions Divers in an underwater habitat breat

Question

please help with these frequency questions

Divers in an underwater habitat breathe a special mixture of oxygen and neon, with pressure 6.2 x 105 N/m2 and density 4.5 kg/m3 The effective gamma value for the mixture is 1.61. Find the frequency in this mixture for a 77cm -wavelength sound wave. Express your answer using two significant figures. Find the frequency for a 77cm -wavelength sound wave in air under normal conditions. Express your answer using two significant figures.

Explanation / Answer

1) Sound speed = Vs = sqrt(gamma * pressure / density) = sqrt( (1.16* 6.2*10^5)/4.5) = 536.35m/s speed of sound = freq * wavelength => freq = speed/wavelength = 536.35/0.77 taking wave length in meters... = 412.9895---> freq value. 2) speed = 343m/s freq = speed / wavelength = 343/0.77 = 445.45Hz

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