1. The problem statement, all variables and given/known data Show that when an ideal gas expands adiabatically, the temperature and pressure are related by the differential equation: dT/dP = (2/f+2)(T/P). 2. Relevant equations PV=NkT VT^(f/2) = constant V^(gamma)*P = constant 3. The attempt at a solution I started off with the formula for ideal gases, PV=NkT. I rearranged to get T=(PV/Nk). At this point I don't know where to go. I don't see any equations I can use to make substitutions and I'm not sure if I should take the derivative at this point or not?