The molar heat capacity at constant volume of a metal at low temperatures varies with the temperature according to the equation
where Θ is the Debye temperature, ϒ,is a constant, and Cv/n is measured in units of mJ jmol· K. The first term on the left is the contribution attributable to lattice vibrations and the second term is due to the contribution of free electrons. For copper, Θ is 343 K and, is 0.688 m.l/mol K2. How much heat per mole is transferred during a process in which the temperature changes from 2 to 3 K?
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