problem 1.41 A question of long-standing interest has been the motion and reacti
ID: 888643 • Letter: P
Question
problem 1.41
A question of long-standing interest has been the motion and reactions of atomic oxygen along the surface of aluminum crystals. Assume that a typical speed for the O atom is8 105 cms and the typical distance traveled along the surface is 40 Å.
h= 6.626 10-34 Js
1) Determine the de Broglie wavelength of the O atom
2) Is quantum mechanics critical to the analysis? YES OR NO?
1 amu = 1.661 10-27 kgh= 6.626 10-34 Js
1) Determine the de Broglie wavelength of the O atom
2) Is quantum mechanics critical to the analysis? YES OR NO?
Explanation / Answer
lambda = h / mv
mass of oxygen atom = 16 amu = 16 * 1.66 x 10^-27 kg = 2.66 x 10^-26 kg
v = 8 x 10^5 cm/s = 8 x 10^3 m/s
lambda = h / mv
lambda = 6.626 x 10^-34 J/s / (2.66 x 10^-26 * 8 x 10^3) kg-m/s
lambda = 3.11 x 10^-11 m
lambda = 0.311 Angstrom
Yes quantum mechanics is critical to the analysis because it is a microscopic particle
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.