Derive an expression for the molar entropy of a monatomic solid on the basis of the Einstein

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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.

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