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\sect{Heat capacity of ideal Bose gas}

${N}$ bosons with spin ${1}$ and mass ${\mathsf{m}}$ are in
a tank with volume ${V}$. The gas is in thermic equilibrium in
temperature ${T}$. Write  explicit
expression using ${N, \mathsf{m}, V,T}$ for ${T_{c}}$, and also explicit expressions for the
chemical potential, the energy and the pressure in the boundaries
${T_{c}<<T, T<T_{c}}$.
Get an explicit expression for ${C_{v}}$ in the temperatures
boundaries ${0\leq T \leq T_{c}}$ and complete the missing details
in the graph.
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\[C_{v}\left(T=T_{c}\right)\geq=?\]
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\[C_{v}\left(T_{c}<<T\right)=?\]




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