A certain photochemical reaction is found to require 8.1 x 10-19 energy per water molecule.
Calculate the number of photons (per water molecule) of light with wavelength of 2.21x 10-6m
that is required to initiate the reaction
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Therefore number of photons per water molecule is 9.
Given : A certain photochemical reaction is found to require 8.1 × 10^-19 J/water molecule.
To find : the number of photons (per water molecule) of light with wavelength of 2.21 × 10^-6 m that is required to initiate the reaction.
solution : we know from quantum theory,
Total energy = N × hc/λ
where N is the number of photons.
here , λ = 2.21 × 10^-6
so, hc/λ = (6.63 × 10^-34 × 3 × 10^8)/(2.21 × 10^-6)
= (6.63 × 3 × 10^-26)/(2.21 × 10^-6)
= 9 × 10^-20 J
total energy = 8.1 × 10^-19 J
so, 8.1 × 10^-19 = N × 9 × 10^-20
⇒81 × 10^-20 = N × 9 × 10^-20
⇒N = 9
Therefore number of photons per water molecule is 9.
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