To calculate the energy of radiation per photon and per mole of photons, you can use the formula:
Energy = Planck's constant (h) × Frequency (ν)
1. Calculate the energy per photon:
Energy per photon = h × ν
Plugging in the values:
Energy per photon = (6.626 × 10^-34 J·s) × (6.0 × 10^13 s^-1) = 3.9756 × 10^-20 joules
2. To find the energy per mole of photons, you need to use Avogadro's number (6.022 × 10^23) to represent one mole of photons. So, you'll multiply the energy per photon by Avogadro's number:
Energy per mole of photons = Energy per photon × Avogadro's number
Energy per mole of photons = (3.9756 × 10^-20 J) × (6.022 × 10^23 photons/mol) = 2.3947 × 10^4 J/mol
So, the energy of this radiation per photon is approximately 3.9756 × 10^-20 joules, and per mole of photons, it's approximately 2.3947 × 10^4 joules per mole.