Question

The blue colour of the sky results from the scattering of sunlight by air molecules. Blue light has a frequency of about 7.5*10^14 Hz

Calculate the energy of a mole of photon with this frequency

Answer 1

The energy of a mole of photon is 2.99x10⁵ J.

Step-by-step explanation:

First, we need to remember that in 1 mol of photons we have 6.02x10²³ photons.

The energy is given by:

`E = Nh\\u`

Where:

h: is the Plank's constant = 6.62x10⁻³⁴ J.s

ν: is the frequency = 7.5x10¹⁴ Hz

N: is the number of photons = 6.02x10²³ photons

Hence, the energy of a mole of photon is:

`E = Nh\\u = 6.02 \cdot 10^(23)*6.62 \cdot 10^(-34) J*s*7.5 \cdot 10^(14) Hz = 2.99 \cdot 10^(5) J`

I hope it helps you!