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I think you're right in that as z changes, the product PV^\gamma = const. However, I'm not seeing how I can eliminate P and V to get T(z).. edit: clarification: I don't see how I can eliminate two of the thermodynamic variables without introducing an unknown constant.

I interpreted it to mean that the atmosphere can be modeled as planes of thickness dz that are adiabatic.

Homework Statement Derive the pressure, density and temperature profiles of an adiabatically stratified plane-parallel atmosphere under constant gravitational acceleration g. Assume that the atmosphere consists of an ideal gas of mean molecular weight \mu. Given \mu=14u, g = 9.81m/s^2, z =...

Thanks for the reply gabbagabbahey, Yes, I found that in the textbook. I ended up leaving the eigenkets in a generalized form, then taking a cross product and choosing 3 kets that satisfied the generalized forms for all the eigenkets.

Homework Statement Consider a thee-dimensional ket space. If a certain set of orthonormal kets - say, |1>, |2>, and |3> - are used as the base kets, the operators A and B are represented by A = a 0 0 0 -a 0 0 0 -a B = b 0 0 0 0 -ib 0 ib 0 with a and b both real. a) Obviously A...