J.R. S. answered 10/07/22
Ph.D. University Professor with 10+ years Tutoring Experience
First, we will find the energy from a single photon of light that has a wavelength of 595 nm. We will then convert that to the energy for a mole of those same photons.
E =hc / λ
E = energy of 1 photon = ?
h = Planck's constant = 6.626x10-34 Js
c = speed of light = 3x108 m/s
λ = wavelength in m = 595x10-9 m (since 1 nanometer = 1x10-9 meters)
E = ( 6.626x10-34 Js)(3x108 m/s) / 595x10-9 m
E = 3.34x10-19 J / photon
How many photons are in 1 mole of photons? Answer: Avogadro's number = 6.022x1023 photons/mol
3.34x10-17 J / photon x 6.022x1023 photons / mol photons x 1.90 mols photons = 3.82x107 J
(be sure to check the math)