The energy in kJ for one mole of photons with a frequency of 10¹⁵ s^-1 is

Question

Question

Answer 1

Concept:

According to planck’s quantum theory of radiation, the energy of light is equivalent to energy of packets where each packet is known as Photon.

The energy of n moles of photon is given by

E = nN_ahν;

1 mole of photons = N_a = 6.023 × 10²³ photons;

Calculation:

Given ν = 10¹⁵ s^-1, n = 1;

⇒ E = 1 × 6.023 × 10²³ × 6.626 × 10^-34 × 10¹⁵ = 399 kJ;

⇒ E = 399 kJ;