Question

(5points) Na2[Fe(OH2)2(OH)I3]absorbs photons with energy of 191kJ/mol. Calculate the wavelength (in nm) for a photon absorbed by this complex. Please show all of your work for full credit.

Answer 1

626.7nm

Step-by-step explanation:

The energy of a photon is defined as:

E = hc / λ

Where E is the energy of the photon, h is Planck constant (6.626x10⁻³⁴Js), c is speed of light (3x10⁸m/s) and λ is the wavelength of light

The energy of 1 photon is:

(191000 J / mol) ₓ (1 mole / 6.022x10²³) = 3.1717x10⁻¹⁹ J

Replacing:

3.1717x10⁻¹⁹ J = 6.626x10⁻³⁴Jsₓ3x10⁸m/s / λ

λ = 6.267x10⁻⁷m

as 1nm = 1x10⁻⁹m:

6.267x10⁻⁷m ₓ (1nm / 1x10⁻⁹m) =

626.7nm