How do you modify the Bohr model equation for Li++?

In summary, the question is asking for the radius of an electron in the n = 4 level of Li ++ according to the Bohr model. The correct equation to use is r = .0529 nm x n^2, but this formula is for the hydrogen atom. To modify it for Li++, the equation needs to be multiplied by 3.
  • #1
Vitani11
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3

Homework Statement


Consider an electron in the n = 4 level of Li ++. According to the Bohr model, what is the radius of the orbit of the electron?

Homework Equations


r = .0529 nm

r(n) = (.0529 nm) x (n2)

The Attempt at a Solution


I thought this was pretty obvious? We want to know the radius of an electron in the n=4 level, using the equation does not give the right solution. Why? Why is this not working?
 
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  • #2
The formula you are using is for the hydrogen atom. How do you modify this formula to handle Li++?
 
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  • #3
TSny said:
The formula you are using is for the hydrogen atom. How do you modify this formula to handle Li++?

Multiply equation by 3?
 
  • #4
TSny said:
The formula you are using is for the hydrogen atom. How do you modify this formula to handle Li++?
Got it, thanks!
 

FAQ: How do you modify the Bohr model equation for Li++?

1. What is the Bohr Model Ion problem?

The Bohr Model Ion problem is a physics concept that involves determining the energy levels and electron configurations of atoms that have lost or gained electrons to form ions. It is named after the scientist Niels Bohr who proposed the first model of the atom.

2. Why is the Bohr Model Ion problem important?

The Bohr Model Ion problem is important because it helps us understand the behavior and properties of ions, which are essential in various chemical reactions and processes. It also allows us to predict the reactivity and stability of different ions.

3. How is the Bohr Model Ion problem solved?

The Bohr Model Ion problem is solved by using the Bohr model of the atom, which states that electrons orbit the nucleus in specific energy levels. The number of electrons in each energy level can be determined by the ion's atomic number and the number of electrons it has lost or gained.

4. What is the difference between a cation and an anion in the Bohr Model Ion problem?

A cation is a positively charged ion that has lost one or more electrons, while an anion is a negatively charged ion that has gained one or more electrons. In the Bohr Model Ion problem, cations and anions have different electron configurations and energy levels.

5. Can the Bohr Model Ion problem be applied to all elements?

The Bohr Model Ion problem can be applied to most elements, but it is not accurate for larger atoms with more than 20 electrons. In these cases, the quantum mechanical model of the atom is used to determine the electron configuration and energy levels of ions.

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