Question

One type of sunburn occurs on exposure to UV light with a wavelength in the vicinity of 325 nm. What is the energy of a mole of these photons?

Answer 1

Answer: Energy of a mole of these photons is $0.368\times 10^6Joules$  

Explanation:

The relationship between wavelength and energy of the wave for 1 mole follows the equation:

$E=\frac{Nhc}{\lambda}$

E= energy

N= avogadros number =$6.023\times 10^{23}$

$\lambda$ = wavelength of the wave  =$325\times 10^{-9}m$    $1nm=10^{-9}m$

h = Planck's constant  = $6.626\times 10^{-34}Js$

c = speed of light = $3\times 10^8m/s$

$E=\frac{6.023\times 10^{23}\times 6.626\times 10^{-34}\times 3\times 10^8m/s}{325\times 10^{-9}m}$

$E=0.368\times 10^6Joules$  

Thus the energy of a mole of these photons is $0.368\times 10^6Joules$