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Chapter 3, Problem 3.128QP

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

14th Edition
Burdge
ISBN: 9781259327933

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Chapter
Section
FindFindarrow_forward

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

14th Edition
Burdge
ISBN: 9781259327933
Interpretation Introduction

Interpretation:

The energies of each photon emitted having the wavelengths of the various photons as 575 nm, 162 nm and 131 nm when an electron in an excited atom moves from (d), (d)  (c), (c)  (b) and (b)  (a) in four atomic energy levels of an atom should be calculated using the relation between speed, wavelength and frequency of a wave and Planck’s quantum theory. Each emission should also be matched to the appropriate wavelength knowing the energy levels.

Concept Introduction:

A wave is a disturbance or variation that travels through a medium transporting energy without transporting matter.  The wavelength is the distance between identical points on successive waves.  The frequency is the number of waves that pass through any particular point in 1 second.

images

Figure 1

The speed, wavelength and frequency of a wave are related by the equation: = λν where λ and ν are expressed in meters (m) and reciprocal seconds (s1) respectively.

Planck’s quantum theory

  • Different atoms and molecules can emit or absorb energy in discreet quantities only.  The smallest amount of energy that can be emitted or absorbed in the form of electromagnetic radiation is known as quantum.
  • The energy of the radiation absorbed or emitted is directly proportional to the frequency of the radiation.  The energy of radiation is expressed in terms of frequency as, = hν where, E = energy of the radiation; h = Planck’s constant (6.626 × 1034 Js); ν = frequency of radiation.

To find: The energies of each photon emitted having the wavelengths of the various photons as 575 nm, 162 nm and 131 nm when an electron in an excited atom moves from (d), (d)  (c), (c)  (b) and (b)  (a) in four atomic energy levels of an atom and match each emission to the appropriate wavelength knowing the energy levels.

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