Working out the cp cv difference for van der waals equation

imagemania
Messages
24
Reaction score
0

Homework Statement


I've put all the information on the picture as i already created on there in an attempt to help brain storm some ideas that didn't work ...

http://dl.dropbox.com/u/48169762/Capture.PNG

Homework Equations



All on picture :)
http://dl.dropbox.com/u/48169762/Capture.PNG

The Attempt at a Solution



Working out \frac{\partial V}{\partial T} via its inverse first - but it didn't work (extremly messy given pressure substitutions etc.) - as explainedd on the picture.

Any guidence is much appreciated!
 
Last edited by a moderator:
Physics news on Phys.org
Ok, I've had another look at this problem and I'm still struggling, here's my idea:

[PLAIN]http://dl.dropbox.com/u/48169762/Capture3.PNG
 
Last edited by a moderator:
Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
The value of H equals ## 10^{3}## in natural units, According to : https://en.wikipedia.org/wiki/Natural_units, ## t \sim 10^{-21} sec = 10^{21} Hz ##, and since ## \text{GeV} \sim 10^{24} \text{Hz } ##, ## GeV \sim 10^{24} \times 10^{-21} = 10^3 ## in natural units. So is this conversion correct? Also in the above formula, can I convert H to that natural units , since it’s a constant, while keeping k in Hz ?
Back
Top