Calculate energy of one mole of photons

of radiation whose frequency is 5 ×1014

Hz.

Dear Student,

Energy of one photon is given by the expression

E = h

where, h = Planck's constant = 6.636 x 10^{-34} J s^{-1}

= Frequency of radiation = 5 x 10^{14} Hz = 5 x 10^{14} s^{-1}.

E = (6.636 x 10^{-34} J s^{-1} x 5 x 10^{14} s^{-1}) = 33.18 x 10^{-20} J

One mole of photon = 6.023 x 10^{23} photons

Therefore, Energy of one mole of photon = (6.023 x 10^{23} x 33.18 x 10^{-20} J) = 199.84 x 10^{3} J

Energy of one mole of photon = 199.84 kJ.

Hope its helpful.

Enjoy learning!!

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