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Chemistry & Chemical Reactivity

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

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BuyFindarrow_forward

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 405 nm=4.05 ×107m.

h=6.626×1034J.sc=2.998×108m/sAvogadro's number,NA=6.022×1023photons/mol

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

  ν=cλ

Substituting the values

  ν==2.998×108m/s4.05 ×107m=7.402×1014s1

The energy of photons is calculated by Planck’s equation

Energyperphoton=

Substituting the values

  E==6

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