Saha ionization equation I plug in the #, i still dont get same answer

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In summary, the conversation is about the Saha ionization equation in astrophysics and how to calculate the value for it. The equation is N11/N1=(2K(T)(Z11)/pe(z1))(me(k)(t)/(2pi(h)2)3/2 e-x1/(kt)) and the values used are z1=2, z11=1, pe=15g/cms2, x1=13.6ev, T=5770k, me =electron mass, h=Planck's constant, and k=Boltzmann's constant. The person asking the question is unsure of their answer and is wondering if they did something wrong, to which the response suggests double checking calculations
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leonne
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Homework Statement


In my notes, they give an example of Saha ionization equation. Its astrophysics.



Homework Equations


N11/N1=(2K(T)(Z11)/pe(z1))(me(k)(t)/(2pi(h)2)3/2 e-x1/(kt)


The Attempt at a Solution


They say z1=2, z11=1 pe=15g/cms2 x1=13.6ev T=5770k me =electron mass
h=Planck's constant k=Boltzmann's constant
so i plug them in and i get nothing what they got. The answer they have is 7.4e-5. Am i doing something wrong? for the constants i picked the ev units and tried the cgi units and still way off i am guessing final answer has no units cause they didn't have any units by the answer
 
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  • #2


Hello, it seems like you have the correct equation and values for the constants. However, it's possible that you made a mistake in your calculations or in entering the values into your calculator. I would suggest double checking your work and also making sure you are using the correct units. It's also important to note that the answer you got may be slightly different from the one given in the notes due to rounding or significant figures. I hope this helps!
 

FAQ: Saha ionization equation I plug in the #, i still dont get same answer

1. What is the Saha ionization equation?

The Saha ionization equation is a mathematical formula used to calculate the degree of ionization in a gas under specific conditions. It takes into account the temperature, pressure, and ionization energy of the gas to determine the ratio of ionized atoms to neutral atoms.

2. How does the Saha ionization equation work?

The equation uses the principles of thermodynamics and quantum mechanics to calculate the degree of ionization. It considers the energy levels of the atoms in the gas and the probability of them being ionized at a given temperature and pressure.

3. What is the purpose of plugging in a number in the Saha ionization equation?

Plugging in a number in the equation allows you to calculate the degree of ionization at a specific temperature and pressure. This helps in understanding the behavior of the gas and can be used to make predictions about its properties.

4. Why am I not getting the same answer even after plugging in a number in the equation?

The Saha ionization equation is an idealized model that assumes certain conditions and neglects some factors. In reality, the degree of ionization in a gas can be affected by other factors such as radiation, collisions, and external fields. These factors can cause variations in the calculated values.

5. How can I improve the accuracy of the Saha ionization equation?

To improve the accuracy of the equation, you can consider using a more complex model that takes into account additional factors. You can also compare the calculated values with experimental data to identify any discrepancies and make adjustments accordingly.

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