Chapter 6.2, Problem 6.2CYU

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# Calculate the energy per mole of photons for the laser used in Blu-ray players (λ = 405 nm)

Interpretation Introduction

Interpretation: The energy per mole of photons for the laser used in Blu-ray players is to be calculated.

Concept introduction:

• Planck’s equation,

E=where, E=energyh=Planck'sconstantν=frequency

The energy increases as the wavelength of the light decrease. Also the energy increases as the frequency of the light increases.

• The frequency of the light is inversely proportional to its wavelength.

ν=cλwhere, c=speedoflightν=frequencyλ=wavelength

Explanation

The energy per mole of photons for the laser used in Blu-ray players is calculated below.

Given,

The wavelength of light is 405Â nmâ€‰=â€‰4.05Â Ã—â€‰10â€‰âˆ’7m.

The frequency per mole of photons is calculated by using the equation,

â€‚Â Î½â€‰=â€‰cÎ»

Substituting the values

â€‚Â Î½â€‰=â€‰=â€‰2.998â€‰Ã—â€‰10â€‰8â€‰m/s4.05Â Ã—â€‰10â€‰âˆ’7mâ€‰=â€‰7.402â€‰Ã—â€‰10â€‰14â€‰sâˆ’1

The energy of photons is calculated by Planckâ€™s equation

Energyâ€‰perâ€‰photonâ€‰=â€‰hÎ½

Substituting the values

â€‚Â E=â€‰=â€‰6

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