(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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Derive Gibbs function for dry air .

**Physics Forums | Science Articles, Homework Help, Discussion**