C Debyes T3 Law. At very low temperatures the molar heat

Chapter 17, Problem 17.85

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C Debyes T3 Law. At very low temperatures the molar heat capacity of rock salt varies with temperature according to Debyes T3 law: C = k T3 u3 where k = 1940 J>mol # K and u = 281 K. (a) How much heat is required to raise the temperature of 1.50 mol of rock salt from 10.0 K to 40.0 K? (Hint: Use Eq. (17.18) in the form dQ = nC dT and integrate.) (b) What is the average molar heat capacity in this range? (c) What is the true molar heat capacity at 40.0 K?

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