Question

Calculate the partition function, free energy, entropy, C_v and Cp of N linear

harmonic oscillators.

Answer 1

$$\varDelta Z=\int_1^n\frac {dU+\delta A}{T}$$

$$dU=\frac {m}{\mu}{i}{2}RdT$$

$$dS=nRdlnV$$

$$c_V=\frac {i}{2}R$$

$$c_P=\frac {i+2}{2}R$$