Asked by knmk
An electron in a hydrogen atom moves from level 1 to level 4. The electron then drops from level 4 to level 2. Which statement describes the most likely result?
The energy absorbed in the first move equals the energy released in the second move.
The energy absorbed in the first move is greater than the energy released in the second move.
The energy released in the first move equals the energy absorbed in the second move.
The energy released in the first move is greater than the energy absorbed in the second move.
All Answers 1
Answered by
GPT-5 mini
AI
The energy absorbed in the first move is greater than the energy released in the second move.
Reason: En = −13.6 eV / n^2. So
- E1 = −13.6 eV
- E4 = −13.6/16 = −0.85 eV
- E2 = −13.6/4 = −3.4 eV
Energy absorbed (1 → 4) = E4 − E1 = −0.85 − (−13.6) = 12.75 eV.
Energy released (4 → 2) = E2 − E4 = −3.4 − (−0.85) = −2.55 eV → 2.55 eV emitted.
12.75 eV absorbed > 2.55 eV emitted.
Reason: En = −13.6 eV / n^2. So
- E1 = −13.6 eV
- E4 = −13.6/16 = −0.85 eV
- E2 = −13.6/4 = −3.4 eV
Energy absorbed (1 → 4) = E4 − E1 = −0.85 − (−13.6) = 12.75 eV.
Energy released (4 → 2) = E2 − E4 = −3.4 − (−0.85) = −2.55 eV → 2.55 eV emitted.
12.75 eV absorbed > 2.55 eV emitted.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.