I was going through the different speed of sound through different atmospheric/air conditions and the Newton-Laplace equation gives
$ c=\sqrt{\frac{\gamma P}{\rho}} $
So, where does the temperature come into effect for the air here? So, does the sound wave travel equally fast through the same gas maintained at different temperatures but same pressure?
Also, does the shockwave replicate these properties i.e.,
i) Does the shockwave travel faster through the denser atmosphere or rarer atmosphere maintained at same temperature and pressure?
ii) How does the speed of the shockwave vary with change in temperature/ pressure/ density of the air?
