At very low temperatures the molar heat capacity of rock salt varies with temperature according to Debye's T3 law: C = k T3 where k = 1940 J/(mol K) and 0 = 281 K.

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At very low temperatures the molar heat capacity of
rock salt varies with temperature according to Debye's
T3 law:
C
= k
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
(b) What is the average molar heat capacity in this
range?
(c) What is the true molar heat capacity at 36.0 K?
nCdT and integrate.)
Transcribed Image Text:At very low temperatures the molar heat capacity of rock salt varies with temperature according to Debye's T3 law: C = k 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 (b) What is the average molar heat capacity in this range? (c) What is the true molar heat capacity at 36.0 K? nCdT and integrate.)
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