The ionization energy of atomic hydrogen?

In summary, to find the ionization energy of atomic hydrogen in kJ/mol, you need to use the Rydberg formula derived from the Bohr equation. Alternatively, you can find the difference between the energies of unexcited and ionized hydrogen atoms using the values of n.
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Homework Statement


According to the Bohr theory, what is the ionization energy of atomic hydrogen in kJ/mol?

Homework Equations


Bohr equation: E = (-2.18 x 10-18 J)(1/n2)

The Attempt at a Solution


I don't have any general idea on how to do this problem :( please help!

The answer is: 1.31 x 103 kJ/mol
 
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  • #2
You need to use Rydberg formula. Note, that it can be easily derived from what you called Bohr equation.

Alternatively - what n means? What value does it have in unexcited hydrogen atom? What values does it take when atom gets ionized? These two n values give you two energies - that of unexcited and that of ionized atom. What is the difference between them?

But it boils to exactly the same.
 
  • #3


I can confirm that the ionization energy of atomic hydrogen is indeed 1.31 x 103 kJ/mol, as calculated using the Bohr equation. This value represents the minimum amount of energy required to completely remove an electron from a hydrogen atom in its ground state. This energy is typically expressed in units of kJ/mol to make it easier to compare with other elements.
 

1. What is the ionization energy of atomic hydrogen?

The ionization energy of atomic hydrogen is the amount of energy required to remove an electron from a single hydrogen atom in its ground state. It is typically measured in units of electron volts (eV).

2. How is the ionization energy of atomic hydrogen determined?

The ionization energy of atomic hydrogen can be determined through experiments where different amounts of energy are applied to hydrogen atoms until an electron is removed. The minimum amount of energy required to remove the electron is the ionization energy.

3. What factors affect the ionization energy of atomic hydrogen?

The ionization energy of atomic hydrogen is affected by factors such as the size of the atom, the distance between the nucleus and the electron, and the amount of shielding from other electrons. It also increases as you move from left to right on the periodic table.

4. Can the ionization energy of atomic hydrogen be calculated?

Yes, the ionization energy of atomic hydrogen can be calculated using mathematical equations based on the atomic structure and properties of hydrogen. However, these calculations may not always be accurate and experimental data is often used instead.

5. How does the ionization energy of atomic hydrogen relate to its reactivity?

The ionization energy of atomic hydrogen is directly related to its reactivity. The lower the ionization energy, the easier it is for an atom to lose an electron and become more reactive. This is why elements with lower ionization energies, like alkali metals, are more reactive than elements with higher ionization energies, like noble gases.

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