Entropy Proof: Ideal Gas Expansion with Varying Temperature | Homework Question

  • Thread starter Thread starter wangchungman
  • Start date Start date
  • Tags Tags
    Entropy Proof
wangchungman
Messages
1
Reaction score
0

Homework Statement



Using the exact differential, state function characteristics of S prove that ΔS for step I is always > 0 for an ideal gas expanding adiabatically and irreversibly from point 1 at TA,PA to point 2 at TB,PB

can anyone help me with this one?
A key difference this one has over others is that temperature is varied and thus not a normal adiabatic process where it mirrors an isothermal one

Homework Equations



first law, second law, helmholtz and gibbs free energy equations? mayb

The Attempt at a Solution



I basically got the same outcome as a adiabatic irreversible expansion identical to a isothermal equation but have a feeling the assumptions leading up that are wrong
 
Physics news on Phys.org
Hi wangchungman, welcome to PF!:smile:

wangchungman said:
I basically got the same outcome as a adiabatic irreversible expansion identical to a isothermal equation but have a feeling the assumptions leading up that are wrong

We can't tell you whether what you did was wrong or or not unless you actually show what you did... Post your calculations and explain in detail any assumptions your are making.
 
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