At very low temperatures the molar heat capacity of a metal is given by C = aT³ + bT, where a and b are constants (lattice and electronic contributions). The heat absorbed in raising one mole of the m

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At very low temperatures the molar heat capacity of a metal is given by C = aT³ + bT, where a and b are constants (lattice and electronic contributions). The heat absorbed in raising one mole of the metal from 0 K to T K is

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Q = ∫₀ᵀ C dT = ∫₀ᵀ (aT³ + bT) dT = aT⁴/4 + bT²/2. (The corresponding entropy is S = ∫₀ᵀ C/T dT = aT³/3 + bT — the distractor in (b).) Matches (a).

Chemistry - Thermodynamics - II Question with Solution | TestHub

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