Answer to Question #228910 in Physical Chemistry for Emmanuel

Question

A photon of 498 mm was emitted from a silicon atom. Calculate the energy of the atomic level and show that the atomic level are quantized

Answer 1

498

E(n) = - (1/n2) * 13.6 eV

In this equation, the Energy, E, is a function of the energy level, n. The units for the energy are in eV, which will have to be converted.

For n=2, we have E(2) = - (1/22) * 13.6 eV

E(2) = -(1/4) * 13.6 eV

E(2) = -3.40 eV

We can convert using 1 eV = 1.602 x10-19 J

So -3.40 eV * 1.602 x10^-19 J / 1 eV

= -5.45 x10^-19 J × 498

= -2.714 × 10^-16J