- #1
StarTiger
- 9
- 1
For some reason this proof in thermal is tripping me up.
Show that (du/dP)|t = Pkv - (cp - cv)K/B (problem 4-4 in Carter or 1.14 in Cheng)
B = 1/v(R/P) = 1/T
k= -1/v(-RT/p^2) = 1/P
Start with 1st law dq=(du + Pdv) and substitute...eventually:
Get to du/dP|T dP - (du/dt)|p dt - PBvdT +PkvdP
Divide by dP
Now is where I'm stuck...
Homework Statement
Show that (du/dP)|t = Pkv - (cp - cv)K/B (problem 4-4 in Carter or 1.14 in Cheng)
Homework Equations
B = 1/v(R/P) = 1/T
k= -1/v(-RT/p^2) = 1/P
The Attempt at a Solution
Start with 1st law dq=(du + Pdv) and substitute...eventually:
Get to du/dP|T dP - (du/dt)|p dt - PBvdT +PkvdP
Divide by dP
Now is where I'm stuck...