Low-temperature calorimetry on nickel (density

PHYSICS · Multi-part · Fermi University Physics · Condensed Matter, Materials & Soft Matter · Lattice dynamics and thermal properties of solids · Lattice dynamics and thermal properties of solids

Condensed Matter Physics, Ch Einstein, Debye and the heat capacity of solids

Problem

Low-temperature calorimetry on nickel (density ρ=8908 kg m−3\rho = 8908\ \mathrm{kg\,m^{-3}}, molar mass M=58.693 g mol−1M = 58.693\ \mathrm{g\,mol^{-1}}) gives a straight line when CV/TC_V/T is plotted against T2T^2, with slope 0.02133 mJ mol−1K−40.02133\ \mathrm{mJ\,mol^{-1}K^{-4}}. Find ((a)) nickel's Debye temperature, and ((b)) the average sound speed vˉ\bar v that this ΘD\Theta_D, together with nickel's atomic number density, implies.

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