At very low temperatures the molar heat capacity of rock salt varies with temperature according to Debye's T³ law: C = kT where k = 1940 J/(mol K) and 0 = 281 K. (a) How much heat is required to raise the temperature of 1.50 mol of rock salt from 13.0 K to 36.0 K? (Hint: Use the change in thermal energy in the form dQ = nCdT and integrate.) (b) What is the average molar heat capacity in this range? (c) What is the true molar heat capacity at 36.0 K?

At very low temperatures the molar heat capacity of rock salt varies with temperature according to Debye's T³ law: C = kT where k = 1940 J/(mol K) and 0 = 281 K. (a) How much heat is required to raise the temperature of 1.50 mol of rock salt from 13.0 K to 36.0 K? (Hint: Use the change in thermal energy in the form dQ = nCdT and integrate.) (b) What is the average molar heat capacity in this range? (c) What is the true molar heat capacity at 36.0 K?