Question

Microwave radiation has a wavelength of 1.0 cm. Calculate the energy of a single photon of this radiation andf then calculate the energy of 1.0 mol of the radiation.

Answer 1

E = hw = hv = hc/lambda h = 6.626 times 10?34J.s c = 3 times 10^8 m/s ? = 0.01m Energy of one photon (E) = (6.626 times 10?34 J.s times 3 times 108 m/ s)/(0.01 m) = 19.878 times 10?24 J One mole of photon = 6.023 times 10^23 photons Energy of one mole photon (E) = (6.023 times 1023 times 19.878 times 10?24 J) Energy of one mole photon (E) = 11.97 J/mol

h=6.626x10^?34J.s
c=3x10⁸m/s
?=0.01m

Energy of one photon (E) = (6.626x10^?34J.s x 3x10⁸m/s)/(0.01 m) = 19.878x10^?24 J

One mole of photon = 6.023 x 1023 photons

Energy of one mole photon (E) = (6.023x10²³ x19.878x10^?24 J)

Energy of one mole photon (E) =11.97 J/mol