Calculate the energy per mole of photon of electromagnetic radiation having wave length 700 nm [ h =6.626 10⁻³⁴ Js , C =3 10^8 ~m / s ]

Step-by-step solution

Energy per mole of photons is calculated from the energy of a single photon multiplied by Avogadro's number. The energy of a photon is given by E = hc , where Planck's constant h = 6.626 10⁻³⁴ Js , the speed of light c = 3 10^8 m/s , and wavelength = 700 , nm = 7 10⁻⁷ , m . Substituting these values: E = (6.626 10⁻³⁴) (3 10^8) 7 10⁻⁷ = 2.8397 10⁻¹⁹ , J . Multiplying by Avogadro's number N_ A = 6.022 10²³ , mol ⁻¹ gives the energy per mole: E_ mole = (2.8397 10⁻¹⁹) (6.022 10²³) = 1.7109 10^5 , J/mol . Rounded to thr