So I came down with something and missed some class and am making it up from others notes which arent entirely clear plus the long weekend for turkey day and I am really hoping someone can help me make some sense of this...
I am trying to come up with the derivations for irreversible adiabatic expansions/work, ill try to explain as much as possible and hopefully it will be sufficient for someone to see what I am getting at give me a hand
The notes begin with adiabatic reversible work
dU=dq+dW -->q=0 for adiabatic so dU=dW
the notes then integrate each side wrt T & V end then exponentiate each side to arrive at v1T1c=v2T2c where c =Cv,m/R
they then get sloppy to where i can't make anything of it and arrive at Pivi[itex]\gamma[/itex]Pfvf[itex]\gamma[/itex] where[itex]\gamma[/itex]=Cpm/Cvm
Then there is a huge note that says DO NOT USE THIS IF WORK IS IRREV and that the instructor wants us to derive similar for irreversible work Hint: (it changes where dU=dw)
The Attempt at a Solution
I tried working on this all morning and didnt make any progress...integrating dV/V to get the ln(vf/vi) is how we were taught to do reversible work and for non-reversible it was just w=-PexΔV
I don't see any way this could turn into similar expressions relate T,P&V
Someone please help! If i see a derivation a couple times they make sense but I can never figure this out solo.
Thank you so much