mattotto905 mattotto905
  • 14-05-2019
  • Physics
contestada

What is the energy of an electron in the 2s orbital of a hydrogen atom?

Respuesta :

skyluke89
skyluke89 skyluke89
  • 28-05-2019

Answer:

-3.4 eV ([tex]-5.4\cdot 10^{-19} J[/tex])

Explanation:

In a hydrogen atom, the energy of an electron is given by:

[tex]E_n = - 13.6 eV \frac{1}{n^2}[/tex]

where

n is the principal quantum number

For an electron in the 2s orbital,

n = 2

So substituting this value into the formula, we find

[tex]E_2 = -13.6 eV \frac{1}{2^2}=-3.4 eV[/tex]

And converting this into Joules, we have

[tex]E_2 = -3.4 eV \cdot 1.6\cdot 10^{-19} J/eV=-5.4\cdot 10^{-19} J[/tex]

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