- #1
mj478
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Homework Statement
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.
Homework 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
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.