Show that, for (T ll Theta_{D}), the quantity ( (C_{P}-C_{V}) ) of a Debye solid varies as

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Show that, for \(T \ll \Theta_{D}\), the quantity ( \(C_{P}-C_{V}\) ) of a Debye solid varies as \(T^{7}\) and hence the ratio \(\left(C_{P} / C_{V}ight) \simeq 1\).

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