For the imperfect Bose gas studied in Section 11.2, calculate the specific heat (C_{V}) near absolute zero

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For the imperfect Bose gas studied in Section 11.2, calculate the specific heat \(C_{V}\) near absolute zero and show that, as \(T ightarrow 0\), the specific heat vanishes in a manner characteristic of a system with an "energy gap" \(\Delta=4 \pi a \hbar^{2} n / m\).

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