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The problem states that the atom has two electrons in the outermost third energy level. This means n=3 is the highest principal quantum number with occupied electrons, and there are 2 electrons in t

Physics

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Answer

1s22s22p63s2\text{}1s^2 2s^2 2p^6 3s^2\text{}

Step-by-step solution

4 steps
  1. Identify the outermost energy level and the number of electrons.

    The problem states that the atom has two electrons in the outermost third energy level. This means n=3n=3 is the highest principal quantum number with occupied electrons, and there are 2 electrons in this level.

  2. Determine the orbital filling for the third energy level.

    Within the third energy level, orbitals fill in the order 3s3s, then 3p3p, then 3d3d. Since there are only two electrons in this level, they will occupy the 3s3s orbital.
    So, the configuration for the outermost third energy level is 3s23s^2.

  3. Write the electron configuration for the inner, filled energy levels.

    For the third energy level to be the outermost occupied level, all preceding energy levels must be completely filled.
    The first energy level (n=1n=1) is filled with 1s21s^2.
    The second energy level (n=2n=2) is filled with 2s22p62s^2 2p^6.

  4. Combine all filled orbitals to get the complete electron configuration.

    Combining the configurations from Step 2 and Step 3:

    1s22s22p63s21s^2 2s^2 2p^6 3s^2

    This configuration corresponds to an atom with 2+2+6+2=122+2+6+2 = 12 electrons, which is Magnesium (Mg).

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