Derive an expression for the molar entropy of a monatomic solid on the basis of the Einstein and Debye models and plot the molar entropy against the temperature (use T/θ in each case, with θ the Einstein or Debye temperature). Use the following expressions for the temperature-dependence of the heat capacities: 

Use mathematical software to evaluate the appropriate expressions.

Transcribed Image Text:

T-(2/²) ( "(n=³(2)(x 20/2T ee/T-1 T IT OD Einstein: Cv,m (T)=3RfE(T) f(T)=| Debye: Cv,m (T)=3RfD (T) fD (T)=3 ex (e-*-1)² dx