- #1
hnnhcmmngs
- 19
- 0
- Homework Statement
- Verify the claim of Section 7.2 that the electrons of a metal collide with the surface at a rate of about 10^30 per second per square centimeter. Do this by estimating the collision frequency of electrons in a 1.00-cm cube of copper metal with one face of the cube surface. Assume that each copper atom contributes one conduction electron to the metal (the chemical valence of copper is 1) and that these conduction electrons move freely with kinetic energy equal to 7.00 eV.
- Relevant Equations
- I don't know which equations are relevant for this question.
Homework Statement: Verify the claim of Section 7.2 that the electrons of a metal collide with the surface at a rate of about 10^30 per second per square centimeter. Do this by estimating the collision frequency of electrons in a 1.00-cm cube of copper metal with one face of the cube surface. Assume that each copper atom contributes one conduction electron to the metal (the chemical valence of copper is 1) and that these conduction electrons move freely with kinetic energy equal to 7.00 eV.
Homework Equations: I don't know which equations are relevant for this question.
First, I just determined the number of electrons per cm^3 knowing the density of copper is 8.95 g.cm^3.
n = 6.02 * 10^23 atoms/mol * 8.95 g/cm^3 * 1 mol/63.5 g = 8.48 * 10^23 electrons/cm^3
I also determined the speed of each electron.
v = sqrt(2E/M) = 1.57 * 10^6 m/s
I just don't know how to proceed from here. Any help would be appreciated!
Homework Equations: I don't know which equations are relevant for this question.
First, I just determined the number of electrons per cm^3 knowing the density of copper is 8.95 g.cm^3.
n = 6.02 * 10^23 atoms/mol * 8.95 g/cm^3 * 1 mol/63.5 g = 8.48 * 10^23 electrons/cm^3
I also determined the speed of each electron.
v = sqrt(2E/M) = 1.57 * 10^6 m/s
I just don't know how to proceed from here. Any help would be appreciated!