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Question: the specific heat capacity of solids at low temperatures is...

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The specific heat capacity \small c_v of solids at low temperatures is given by the Debye \small T^3 law:

\small c_v=A\left ( \frac{T}{\theta } \right )^3

The quantity A is a constant equal to \small 19.4\times 10^5 \textup{J Kilomole}^{-1}\textup{K}^{-1}    and \small \theta is the Debye temperature, equal to 320 K fo NaCl.

(a) What is the molar specific heat capacity at a constant volume of NaCl at 10 K and at 50 K?

(b) How much heat is required to raise the temperature of 2 kilomoles of NaCl from 10 K to 50 K at constant volume?

(c) What is the mean specific heat capacity at a constant volume over this temperature range?

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