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.