Speed of sound in gases

A certain ideal gas is made up of unknown identical molecules. It is known that under standard conditions, i.e., atmospheric pressure and zero degrees Celsius, the density of the gas is ρ=1.3 mg/cm3\rho=1.3~ \text{mg}/{\text{cm}^{3}} and the speed of sound in it is v=330 m/s v=330~\text{m}/\text{s}. Surprisingly, by measuring the density and the speed of sound we can determine the number of degrees of freedom ii of the molecules. Find ii. The atmospheric pressure is pA=101.05 kPap_{A}=101.05~\text{kPa}

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