Question

What is the total E associated with one mole of photons (a unit known as the Einstein) of 3.91x1019 Hz?

Answer 1

Answer:

        $E=1.56\times 10^{10}J$

Explanation:

The energy of a photon, E, can be calculated with the Planck-Einstein equation:

          $E=hf$

Where:

• h is Planck's constant 6.626×10⁻³⁴ J.s, and

• f is the frequency of the photon or electromagnetic radiation.

Substituting with your data:

          $E=6.626\times 10^{-34}J.s\times 3.91\times 10^{19}s^{-1}=2.5908\times 10^{-14}J$

Now multiply by Avogadro's number to obtain the energy of one mole of photons:

          $E=2.5908\times 10^{-14}J\times 6.022\times 10^{23}=1.56\times 10^{10}J$