# Calculating molar heat capacity from electron contribution

1. Jul 29, 2016

### kent davidge

1. The problem statement, all variables and given/known data

Silver has a Fermi energy of 5.48 eV. Calculate the electron contribution to the molar heat capacity at constant volume, Cv, of Silver at 300 K. Express your result as a multiple of R. Is the value of Cv due principally to the electrons? If not, to what is it due?

ans: 0.0233R

2. Relevant equations

I don't know.

3. The attempt at a solution

I just don't know how to approach to this problem. Should I consider Silver as a solid? Or what? If so, then would Cv be 3R ??? But how do I find a way of relate it to the energy of an electron?

2. Jul 30, 2016

### TSny

What type (level) of course is the problem from? Most solid state texts would cover this topic.

Yes, but you are interested in the contribution to CV of just the free electrons in the solid. Have you studied the "free electron model" of metals?

Here is a concise treatment: https://web.njit.edu/~sirenko/Phys-446/Lecture7-SSP-2007.pdf You'll find a formula for calculating what you need.

No. 3R is due to things inside the metal other than the electrons.