Atomic question

1. Apr 30, 2006

mirella

I could use some assistance! - thanks

Question:
Atoms can be ionized by thermal collisions at very high temperatures. One such ion is Ne9+, a neon atom with only a single electron.

(a) By what factor are the energies of its hydrogen-like levels greater than those of hydrogen?

(b) What is the wavelength of the first line in this ion's Balmer series?

(I'm aware of this equation, I'm just not sure how to apply it to this question.)

2. Apr 30, 2006

Andrew Mason

In the Bohr model, how does the electron's energy depend on the charge of the nucleus (Ze)? What is the Z for Ne9+?

Once you get a), b) follows from the Bohr formula.

AM

3. Apr 30, 2006

SpaceTiger

Staff Emeritus
You need to show some work.

It seems like you should have a formula for this. If not, perhaps you're expected to use the Bohr model. What is the atomic number of Neon?

Which transition does this correspond to?

4. May 1, 2006

mirella

for a) is just the atomic # squared 10^2= 100

for b) I have the equation:

hc/lambda=(Z^2)*(13.6eV) (1/2sq - 1/3sq)

where Z=10

...but it doesn't turn out right, i'm not sure what i'm doing wrong

5. May 1, 2006

nrqed

What number do you get? What value are you using for h?

6. May 1, 2006

mirella

h = 6.63*10^-34 (a constant right?)

to solve for lambda i get: 1.05*10^-27

7. May 1, 2006

nrqed

This is what I thought the problem was... you are mixing units! This h in in Joule-second. But the energy you get in in electronvolts. So you have two choices: either you convert the right hand side bacin Joules (by multiplying your energy in eV by 1.602x10^(-19)) or you use the value of h in eV-second.

Pat

8. May 1, 2006

mirella

ahh.. thank you kind sir :)

-ali