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Science Bowl Question

📅 MIT Science Bowl 2022🎓 HS🔄 Round 12#️⃣ Question 12🌟 BONUS✍️ Short Answer

At temperatures very close to absolute zero, phonons dominate the energy of a crystalline solid. Phonons follow the same statistics as photons, and therefore, the internal energy due to phonons has the same temperature dependence as that of photons according to the Stefan-Boltzmann law. Based on this, the heat capacity of a solid at low temperature is proportional to what power of the temperature?

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