What is the energy in joules of a mole of photons associated with visible light of wavelength 486 nm? (c = 3.00 × 108 m/s; h = 6.63 × 10–34 J • s; NA = 6.022 × 1023 moles–1)

The energy of a mole of photons is

Explanation:

The relation between energy and wavelength of light is given by Planck's equation, which is:

where,  

E = energy

h = Planck's constant  =

c = speed of light  = 3.0\times 10^8m/s

=  Avogadro's number =

= wavelength of photon = 486 nm =     (Conversion factor:   )

Putting values in above equation, we get:  

Hence, the energy of a mole of photons is