The Balmer series is isolated from the other series of the hydrogen atom spectrum. This is not the case for all series. Determine the first value of n for which the hydrogen spectral series overlap.

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Interpretation Introduction Interpretation: The first value of n for which the hydrogen spectral Balmer series overlap is to be calculated. Concept introduction: Rydberg equation is used to represent the wavenumber or wavelength of the lines present in the atomic spectrum of an element. The Rydberg equation for the hydrogen atom is represented as, 1 λ = R H ( 1 n f 2 − 1 n i 2 ) Where, • R H represents Rydberg constant with a value for hydrogen 1.09737 × 10 7 m − 1 . • n i represents the initial energy level. • n f represents the final energy level. Explanation The Balmer series lies in the visible region. The highest wavelength of the Balmer series is 656.45 nm . The final energy level for the Balmer series is 2 . The Rydberg equation for the hydrogen atom is represented as, 1 λ = R H ( 1 n f 2 − 1 n i 2 ) Where, • R H represents Rydberg constant with a value for hydrogen 1.09737 × 10 7 m − 1 . • n i represents the initial energy level. • n f represents the final energy level. Substitute the value of R H , n f , and λ in the above equation. 1 656.45 nm = ( 1.09737 × 10 7 m − 1 ) ( 1 m 100 cm ) ( 1 ( 2 ) 2 − 1 n i 2 ) = ( 1

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Physical Chemistry

2nd Edition

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ISBN: 9781133958437

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BuyFind

Physical Chemistry

2nd Edition

Ball + 3 others

Publisher: Wadsworth Cengage Learning,

ISBN: 9781133958437

Solutions

Chapter

Section

Answer 3

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Section

Answer 4

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Answer 5

Interpretation Introduction

Interpretation:

The first value of n for which the hydrogen spectral Balmer series overlap is to be calculated.

Concept introduction:

Rydberg equation is used to represent the wavenumber or wavelength of the lines present in the atomic spectrum of an element. The Rydberg equation for the hydrogen atom is represented as,

1λ=RH(1nf2−1ni2)

Where,

• RH represents Rydberg constant with a value for hydrogen 1.09737×107 m−1.

• ni represents the initial energy level.

• nf represents the final energy level.

Explanation of Solution

The Balmer series lies in the visible region. The highest wavelength of the Balmer series is 656.45 nm.

The final energy level for the Balmer series is 2.

The Rydberg equation for the hydrogen atom is represented as,

1λ=RH(1nf2−1ni2)

Where,

• RH represents Rydberg constant with a value for hydrogen 1.09737×107 m−1.

• ni represents the initial energy level.

• nf represents the final energy level.

Substitute the value of RH, nf, and λ in the above equation.

1656.45 nm=(1.09737×107 m−1)(1 m100 cm)(1(2)2−1ni2)=(1

The Balmer series is isolated from the other series of the hydrogen atom spectrum. This is not the case for all series. Determine the first value of n for which the hydrogen spectral series overlap.

Physical Chemistry

Solutions

Physical Chemistry