Question

At very low temperatures the molar heat capacity of rock salt varies with temperature according to Debye's T3 law:$$C = k {T{^3}\over \theta^3}$$ where k = 1940 J/mol $\cdot$ K and $\theta$ = 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 d$Q$ = n$C$ d$T$ 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?

          At very low temperatures the molar heat capacity of rock salt varies with temperature according to Debye's T3 law:$$C = k {T{^3}\over \theta^3}$$
where k = 1940 J/mol $\cdot$ K and $\theta$ = 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 d$Q$ = n$C$ d$T$
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?

Added by Ashley W.

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