I've seen stated in many a physics book that the general case for the speed of sound (for general equations of state p(ρ) ) is given by(adsbygoogle = window.adsbygoogle || []).push({});

[tex] c^2 = \frac{\partial p}{\partial \rho} [/tex]

where p is pressure and ρ is density.

but I can't for the life of me figure out how on earth to derive that. I've seen tons of derivations for specific cases--gasses, solids, but not for the general case. According to wikipedia, it can be derived using classical mechanics. Can someone point me in the right direction?

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# General equation for the speed of sound?

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