Register to reply 
Heat capacity of a solid using the Einstein model 
Share this thread: 
#1
Aug2309, 03:53 AM

P: 25

1. The problem statement, all variables and given/known data
Plot the heat capacity as a function of temperature for aluminium, using the Einstein model. 2. Relevant equations The Einstein model for heat capacity: 3. The attempt at a solution The model assumes that the frequencies of all the harmonic oscillators in the material are the same. But does it mean "same for all temperatures" or "same for a given temperature"? And if the latter is true, will I need to find a function [tex]\epsilon (T)[/tex]? Because otherwise the right hand side of the Cv equation wil have two free variables. Thankful for help, my textbook is very unclear about this. 


#2
Aug2309, 06:30 AM

HW Helper
PF Gold
P: 3,440

In this model, the frequency of each oscillator is the same at all temperatures, but the energy varies with temperature. Define
[tex]\frac{1}{x}=\frac{\epsilon}{kT}[/tex] Plot C(1/x) / 3Nk vs. x which is a dimensionless plot, good for any choice of specific values. Here, it's the shape that counts. 


Register to reply 
Related Discussions  
Heat Engine with Finite Heat Capacity Is my answer correct?  Introductory Physics Homework  3  
Heat and Internal Energy and Heat and Temperature Change: Specific Heat Capacity  Advanced Physics Homework  4  
Physics: Specific heat capacity of a solid  Introductory Physics Homework  4  
Specific heat capacity, latent heat => ice water steam mixture  Introductory Physics Homework  1  
Specific Heat capacity of solid NaOH?  Chemistry  2 