# Chapter 3, Problem 3.133QP

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### CHEMISTRY: ATOMS FIRST VOL 1 W/CON...

14th Edition
Burdge
ISBN: 9781259327933

#### Solutions

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Section
FindFindarrow_forward

### CHEMISTRY: ATOMS FIRST VOL 1 W/CON...

14th Edition
Burdge
ISBN: 9781259327933
Interpretation Introduction

Interpretation:

The wavelengths in the increasing order of the first four transitions in the Balmer series of the He+ ion, comparing these wavelengths with the same transitions in an H atom and the comment on the differences between these wavelengths of He+ ion and H atom which occur in the electromagnetic radiation should be described by applying the Rydberg equation in them.

Concept Introduction:

Absorption refers to how much light can be taken in by the material being measured.

When electromagnetic radiation interacts with matter, atoms and molecules may absorb energy and reach to a higher energy state.  With higher energy, these are in an unstable state.  For returning to their normal (more stable, lower energy) energy state, the atoms and molecules emit radiations in various regions of the electromagnetic spectrum.  The spectrum of radiation emitted by a substance that has absorbed energy is called an emission spectrum.

In 1885, Johann Balmer developed a simple equation which could be used to calculate the wavelengths of the four visible lines in the emission spectrum of hydrogen.  Johannes Rydberg developed Balmer’s equation further, giving an equation which could calculate the visible wavelengths and also those of all hydrogen’s spectral lines.

1λ = R(1n121n22)

This equation is known as the Rydberg equation.  Here, λ is the wavelength of a line in the spectrum; R is the Rydberg constant (1.09737316 × 107 m1 for H atom); and n1 and n2 are positive integers, where n2 > n1.

To find: Calculate the wavelengths in the increasing order of the first four transitions in the Balmer series of the He+ ion, comparing these wavelengths with the same transitions in an H atom and the comment on the differences between these wavelengths of He+ ion and H atom which occur in the electromagnetic radiation

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