The ratio of speed of sound in nitrogen gas

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The ratio of the speed of sound in nitrogen gas to that in the helium gas at 300 k is?

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Speed of sound in air is given by

v= \sqrt{ \frac{\gamma RT}{M} } \\ \\ \gamma_H_e= \frac{5}{3};\ \gamma_N_2= \frac{7}{5} \\ M_{He} =4;\ M_{N2}=28\\ \\ \frac{v_{N2}}{v_{He}} = \sqrt{ \frac{\frac{\gamma_N_2 RT}{M_N_2} }{ \frac{\gamma_{He} RT}{M_{He}}}} = \sqrt{ \frac{\gamma_N_2}{\gamma_H_e} \times \frac{M_{He}}{M_{N2}} } = \sqrt{ \frac{7 \times 3}{5 \times 5} \times \frac{4}{28} } = \frac{ \sqrt{3} }{5}

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