I am working on a problem for my Thermal Physics course. In short, its a numerical problem. I had to go through some Excel calculations and end up with two columns of numbers. One, C/Nk, where C-heat capacity, k-boltzmann constant, N-number of particles and the other is kT/eps, where k-Boltzmann constant, T-temperature, eps-some unit of energy. I have sets of numbers in both of these columns, so I can plot C/Nk as a function of kT/eps.
Then, I am am given an experimentally measured C(T) for some real materials and asked to estimate(roughly) the constant eps for each of the materials. How do I go about this? Any hints? I have tried doing some numerical methods, but end up with a mess. There has to be some quick and simple way.