Use Saha-Boltzmann statistics to get the relative number densities

  • Thread starter Thread starter Zapped17
  • Start date Start date
  • Tags Tags
    Ratio
Click For Summary
The discussion centers on the application of the Saha equation in calculating electron pressure and number densities. It highlights the challenge of determining electron density (n_e), which is necessary for calculating the electron pressure (P_e). The relationship P_e = n_e kT is emphasized, indicating that both n_e and P_e are interdependent yet initially unknown. Participants seek clarification on how to derive or estimate n_e to effectively use the Saha equation. Understanding these relationships is crucial for accurate calculations in astrophysical contexts.
Zapped17
Messages
9
Reaction score
2
Homework Statement
Use Saha-Boltzmann statistics to get an idea of the relative number densities of H, H+, H−, and H(n = 3).
Gather information from Gray’s book concerning the partition functions (hint: with its two electrons H−
is He-like; H+ is a naked proton, so U(p) = 1), the electron pressure, and so on. Assume T = 5772 K
(S 0 = 1, as Gray labels it in the relevant plots) and solar surface gravity. Take care with the units!
· What do you learn from comparing N(H−) and N(H, n = 3)?
Relevant Equations
The Saha equation N_i+1/N_i
for i:s energy levels.
When I am using the Saha equation, how i am suppose to know the electron pressure?
Which are required to calculate the ration?
Since: P_e = n_ekT (electron pressure and n_e is related to each other, but n_e is also unknown based on my understanding).
 

Thread 'Help needed with Elliptic Integrals'

I want to find the solution to the integral ##\theta = \int_0^{\theta}\frac{du}{\sqrt{(c-u^2 +2u^3)}}## I can see that ##\frac{d^2u}{d\theta^2} = A +Bu+Cu^2## is a Weierstrass elliptic function, which can be generated from ##\Large(\normalsize\frac{du}{d\theta}\Large)\normalsize^2 = c-u^2 +2u^3## (A = 0, B=-1, C=3) So does this make my integral an elliptic integral? I haven't been able to find a table of integrals anywhere which contains an integral of this form so I'm a bit stuck. TerryW
View full post »

Similar threads

Probabilities or pressures in the Saha equation?
  • · Replies 3 ·
Replies
3
Views
2K
Electron density Saha Ionization Equation
  • · Replies 1 ·
Replies
1
Views
2K
A Saha Equation In Plasma for Muons
  • · Replies 0 ·
Replies
0
Views
1K
How Does the Saha Equation Estimate Ion Populations in the Solar Photosphere?
  • · Replies 17 ·
Replies
17
Views
4K
How Do Particles Leak from a Container and Reach a Spherical Cap?
  • · Replies 1 ·
Replies
1
Views
2K
Chemistry What is "gauge pressure" and how does a manometer work?
  • · Replies 1 ·
Replies
1
Views
2K
Statistical Mechanics: particle density of an atmosphere
  • · Replies 1 ·
Replies
1
Views
2K
Plasma Physics and Controlled fusion problems
  • · Replies 3 ·
Replies
3
Views
4K
Limiting factor in design of small gas turbine w/ LOW self sustain speed
  • · Replies 5 ·
Replies
5
Views
2K
I Conservation of linear momentum in RH relations
  • · Replies 7 ·
Replies
7
Views
3K