Calculate the energy per mole of photons of red light with a wavelength 750 nm. [ h = 6.626 10⁻³⁴ Js, C = 3 10^8 m/s.]

Step-by-step solution

The energy of a single photon is given by E = hc . The energy of one mole of photons is E_ mole = N_A hc , where N_A is Avogadro's number ( 6.022 10²³ mol ⁻¹ ). Given: = 750 nm = 750 10⁻⁹ m h = 6.626 10⁻³⁴ J s c = 3 10^8 m/s Substituting the values into the formula: E_ mole = 6.022 10²³ 6.626 10⁻³⁴ 3 10^8 750 10⁻⁹ E_ mole = 119.7 10⁻³ 750 10⁻⁹ E_ mole = 0.1596 10^6 J mol ⁻¹ E_ mole = 1.596 10^5 J mol ⁻¹ Answer: 1.596 10^5 J.