One type of sunburn occurs on exposure to UV light with a wavelength in the vicinity of 325 nm. What is the energy of a mole of these photons?

Answer :

Answer: Energy of a mole of these photons is [tex]0.368\times 10^6Joules[/tex]  

Explanation:

The relationship between wavelength and energy of the wave for 1 mole follows the equation:

[tex]E=\frac{Nhc}{\lambda}[/tex]

E= energy

N= avogadros number =[tex]6.023\times 10^{23}[/tex]

[tex]\lambda [/tex] = wavelength of the wave  =[tex]325\times 10^{-9}m[/tex]    [tex]1nm=10^{-9}m[/tex]

h = Planck's constant  = [tex]6.626\times 10^{-34}Js[/tex]

c = speed of light = [tex]3\times 10^8m/s[/tex]

[tex]E=\frac{6.023\times 10^{23}\times 6.626\times 10^{-34}\times 3\times 10^8m/s}{325\times 10^{-9}m}[/tex]

[tex]E=0.368\times 10^6Joules[/tex]  

Thus the energy of a mole of these photons is [tex]0.368\times 10^6Joules[/tex]  

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