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Physical Chemistry

2nd Edition
Ball + 3 others
ISBN: 9781133958437

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Chapter
Section
BuyFindarrow_forward

Physical Chemistry

2nd Edition
Ball + 3 others
ISBN: 9781133958437
Textbook Problem

What is the value of the change in energy, Δ E , for the ( n , l ) transition of the hydrogen atom labeled ( 3 , 2 ) ( 3 , 1 ) ? Justify your answer.

Interpretation Introduction

Interpretation:

The value of the change in energy (ΔE) for (3,2)(3,1) transition of the hydrogen atom is to be stated. The explanation for the corresponding answer is to be stated.

Concept introduction:

Electronic spectra are formed by the excitation and relaxation process of electrons. The excitation process is due to the transition of an electron from a lower energy level to a higher energy level. The relaxation process is due to the transition of an electron from a higher energy level to lower energy level.

Explanation

The electronic transition is (3,2)(3,1).

The initial and final value of the principal quantum number is 3.

The initial value of the azimuthal quantum number is 2.

The final value of the azimuthal quantum number is 1.

The value of change in energy due to electronic transition depends on the value of the principal quantum number and not on the azimuthal quantum number.

The Rydberg equation for the hydrogen atom is shown below.

v¯=RH(1nf21ni2)

Where,

RH represents Rydberg constant

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