(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

1. Derive the Gibbs function g(T,P) for dry air. T = temp, P = pressure

2. Derive the speed of sound (c) from the Gibbs function. Plot c as a function of temp and pressure.

2. Relevant equations

c = gp*squareroot(gTT/(g^2TP - gTT*gpp)

I wasn't sure how to type it in but gp,gTT, etc. are partial derivatives with repect to p,TT, etc.

g = I - T*entropy +P*specific volume

3. The attempt at a solution

I am having trouble getting g in terms of just P and T. I kind of did it, but I'm not sure exactly where I should end up.

Also I am not getting anything for c that makes sense.

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# Derive Gibbs function for dry air .

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