Physical Chemistry: Ch 11 Quantum Mechanics: Model Systems and the Hydrogen Atom
ID: 946368 • Letter: P
Question
Physical Chemistry: Ch 11 Quantum Mechanics: Model Systems and the Hydrogen Atom
(a)A hydrogen atom bonded to a surface is acting as a harmonic oscillator with a classical frequency of 6.000 × 1013 s 1 . What is the energy difference in J between quantizedenergy levels? (b) Calculate the wavelength of light that must be absorbed in order for the hydrogen atom to go from one level to another. (c) To what region of the electromagnetic spectrum does such a wavelength belong?
Answer:
(a) 3.976 × 1020 J (b) 5.00 µm
Explanation / Answer
a) energy difference between quantizedenergy levels
E = hv
= (6.626 x10-34 J.s ) ( 6.000 × 1013 s 1)
= 3.976 × 1020 J
b) v = c/
= c/v = 3 x 108 m/s / 6.000 × 1013 s 1
= 5 x 10-6 m
= 5.00 µm
c) 5.00 µm = Infrared Region