What is the n value for Li2+ ion in the Bohr model of the atom?

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SUMMARY

The n value for the Li2+ ion in the Bohr model of the atom is not directly applicable since the question is misworded; it should inquire about the Z value instead. The nuclear charge (Z) for lithium is +3, as Li2+ has three protons in its nucleus. The equation used, E = -2.178 x 10-18 J(z2/n2), is correct, but the focus should be on identifying Z rather than solving for n. Thus, the problem simplifies to recognizing the nuclear charge rather than calculating energy levels.

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Homework Statement


In the equation for the bohr model of the atom, what is the n value for Li2+ ion?


Homework Equations


E = -2.178 x 10^-18J(z^2/n^2)


The Attempt at a Solution



Since it is Li2+ that means it has 1 electron. So z = 1. Now I have an equation with 2 variables (impossible to solve).

I don't know what E is and I have to find n. Does anyone have any idea on how to do this?
 
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z is the charge of the nucleus and is not 1 for Li.
For the rest, it may help to post the complete text of the problem.
 
nasu said:
z is the charge of the nucleus and is not 1 for Li.
For the rest, it may help to post the complete text of the problem.

It's Li2+ not Li. And this is the complete text of the problem...
 
It does not matter. The charge of the nucleus is 3e for Li, Li+, Li2+.
So z=3.

But n can take any value so the question does not seem to make sense.
 
IF the question is instead: In the equation for the bohr model of the atom, what is the z value for Li2+ ion?


Does this make more sense?
 
physicsnobrain said:
IF the question is instead: In the equation for the bohr model of the atom, what is the z value for Li2+ ion?


Does this make more sense?
Yes.
 
DrClaude said:
Yes.

Well isn't there still three unknown variables Energy and n value and z value?
 
But you are not asked to find all three, just to tell what (most likely) Z is.

As worded question doesn't make sense, unless it asks for Z, not n.
 
physicsnobrain said:
Well isn't there still three unknown variables Energy and n value and z value?

What is Z? What does it mean? What is Z for lithium?
(yay! 200th post)
 
  • #10
The question exactly as it appears word for word is: In the equation for the Bohr model of the atom, what is the Z value for Li2+ ion?

I am still unsure of how to go about this question. Which equation should I use?
 
  • #11
physicsnobrain said:
The question exactly as it appears word for word is: In the equation for the Bohr model of the atom, what is the Z value for Li2+ ion?

I am still unsure of how to go about this question. Which equation should I use?
You had the right equation in the OP. Go back in your notes/textbook and find what the ##Z## stands for.
 
  • #12
DrClaude said:
You had the right equation in the OP. Go back in your notes/textbook and find what the ##Z## stands for.

it stands for nuclear charge.
 
  • #13
And what is nuclear charge for lithium?
 
  • #14
Borek said:
And what is nuclear charge for lithium?

It is +3. So there is no need to use the equation for this problem? Seems more challenging than that.
 
  • #15
No, it is as simple as that. You were making it more difficult than it is from the very beginning.
 

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