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airenaelyfen
airenaelyfen airenaelyfen
  • 13-09-2016
  • Physics
Answered

What is the wavelength (in nm) of radiation that has an energy content of 1.0x10^2 kJ/mol?

Verified Answer :

jamuuj jamuuj
  • 02-12-2018

Answer;

Wavelength= 1197.47 nm

Explanation and solution;

1.0x10^2 kJ/mole x (1 mole / 6.022x10^23 photons) x (1000 J / 1 kJ)

= 1.66 x10^-19 J/photon

Energy of a wave = ħc / λ  


where;

E = energy of the wave = = 1.66 x10^-19 J/photon

ħ = plancks constant = 6.626x10^-34 J s  

c = speed of light = 3.00x10^8 m/s  

λ = wavelength

λ = ħc / E

   = (6.626x10^-34 J s) x (3.00x10^8 m/s) / (1.66 x10^-19 J)  

λ = 1.197 x10^-6 m x (1x10^9 nm / m)  

   = 1197.47 nm

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