# 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 $$\rho=1.3~ \text{mg}/{\text{cm}^{3}}$$ and the speed of sound in it is $$v=330~\text{m}/\text{s}$$. Surprisingly, by measuring the density and the speed of sound we can determine the number of degrees of freedom $$i$$ of the molecules. Find $$i$$. The atmospheric pressure is $$p_{A}=101.05~\text{kPa}$$

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