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An electron on an energy level has an energy of 16.32 x 10−19 J. It moves to another level by releasing 5.4 x 10−19 J of energy. Which of the following descriptions mostly likely explains what occurred?


The electron moved down to an energy level and has an energy of 10.92 x 10−19 J.

The electron moved down to an energy level and has an energy of 21.72 x 10−19 J.

The electron moved up to an energy level and has an energy of 10.92 x 10−19 J.

The electron moved up to an energy level and has an energy of 21.72 x 10−19 J.

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Answer:

The electron moved down to an energy level and has an energy of

[tex]10.92 \times 10^{-19} \textsf{J}[/tex]

Step-by-step explanation:

[tex]\textsf{initial energy level of electron}= 16.32 \times 10^{-19} \textsf{J}[/tex]

[tex]\triangle E =\textsf{energy released}= 5.4 \times 10^{-19} \textsf{J}[/tex]

A positive energy change means that the electron absorbs energy, while a negative energy change implies a release of energy from the electron.

Therefore, when an electron absorbs energy, the electron moves up to higher energy levels, and when an electron releases energy, it moves to lower energy levels.

[tex]\triangle E=E_2-E_1[/tex]

[tex]\implies 5.4 \times 10^{-19} = 16.32 \times 10^{-19} -E_1[/tex]

[tex]\implies E_1= 16.32 \times 10^{-19} -5.4 \times 10^{-19}[/tex]

[tex]\implies E_1= 10.92 \times 10^{-19}[/tex]

Answer:

The electron moved down to an energy level and has an energy of

[tex]10.92 \times 10^{-19} \textsf{J}[/tex]

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