What Are the True and False Statements About Hydrogen Electron Transitions?

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    Atomic Chemistry
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Discussion Overview

The discussion revolves around the true and false statements regarding hydrogen electron transitions, specifically focusing on the de-excitation from the third excited state. Participants analyze various statements related to the emission of radiation in different spectral series, including Lyman, Balmer, and Pfund series, and the corresponding wavelengths and frequencies of the emitted radiation.

Discussion Character

  • Homework-related
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant states that the hydrogen electron de-exciting from the third excited state (n=4) will emit radiation in the Lyman, Balmer, and Paschen series, suggesting the first statement is true.
  • Another participant argues that the second statement is false, asserting that the electron will also emit radiation in the infrared region.
  • There is a claim that the smallest wavelength corresponds to the highest energy transition, which is associated with the Lyman series and involves a transition from n=∞ to n=1, leading to the assertion that the third statement is false.
  • One participant mentions that the last statement regarding the Pfund series is false, as the transition involves nf=5.
  • There is a discussion about the definition of the third excited state, with some participants asserting it should be n=4, while others reference a potential typo in a provided solution that suggests n=3.

Areas of Agreement / Disagreement

Participants express differing views on the correctness of the statements, with some agreeing on certain points while contesting others. There is no consensus on the overall correctness of the statements, as participants present conflicting interpretations of the excited state definitions and the corresponding emissions.

Contextual Notes

There are mentions of potential typographical errors in provided solutions, which may affect the interpretation of the excited states and the corresponding transitions. The discussion reflects uncertainty regarding the definitions and implications of the excited states in relation to the statements presented.

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Homework Statement


The hydrogen electron de-excites from its 3rd excited state, which are the true and false statements for it.

1. It emits radiation giving lines in Lymann, Balmer, Paschen series
2. It emits radiation of only UV and Visible region and not Infrared region
3. It emits radiation of smallest wavelength giving Line in Lymann series
4. It will emit radiation of highest frequency giving line in pfund series.

Homework Equations


ΔE = Rh[1/Ri2 - 1/Rfs]

The Attempt at a Solution


Clearly, third excited state should mean that n=4.
So it will emit radiation in Lymann, Balmer, Paschen series, hence the statement should be true.
Then, as per the above mentioned sentence, it will emit radiation in Infrared region also, hence the statement should be false.
Smallest wavelength- will be when the difference in wavelength will be 1, eg. ni=3, and nf=2, if this is true, then the third statement will be true.
Highest frequency- when the difference is maximum, hence the last statement is false.

So, the answer should be TFTF.?
 
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3. Smallest wavelength=Highest Energy. For Lymann series, thus corresponds to electron jump from \infty \to 1, which is 91.2 nm. so the third statement is false.

4. This statement is false because for Pfund series, nf = 5.

Answer is TFFF.
 
yeah, got it! i was actually initially confused regarding that while typing, but now got it.

But while referring to the solution of this sum, they had considered the third excited state when n= 3, which i don't think is true, do you agree? it should be n=4
AGNuke said:
3. Smallest wavelength=Highest Energy. For Lymann series, thus corresponds to electron jump from \infty \to 1, which is 91.2 nm. so the third statement is false.

4. This statement is false because for Pfund series, nf = 5.

Answer is TFFF.
 
3rd excited state is n=4. The solution has some typo, as mostly, solutions are not typed by teachers, but professional typists, who go out of their way to "correct" them.
 

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