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Using a theoretical treatment including gamma (ratio of Cp to Cv), determine the speed of sound in each of these gases: argon at 273 K, methane at 165 K, and nitrogen at 600 K.
(Answer must be applicable to any gas at any temperature.)
Please include how you arrived at your solution.

This is a homework question isn't it?

No, actually it is not, as much as it may sound.
My teacher proposed this question to our AP Physics B class, and he is providing points for anyone who can find the answer. He's allowed the use of the internet as well as other teachers and professors.

That's one of the definitions of a "homework question"

It has something to do with density, I think.