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Heat Capacities

Molar Heat Capacities of Selected Solids at 298 K
Solid Experimental Value Theoretical Value
Al 24
Be 16 25
Pb 26

NaCl 55
MgO 44 50
CaO 53

CaF2 66
SiO2 73 75
Na2O 69

KIO3 106 125

BaSO4 128 150

Note: All values are given in joules per mole-kelvin.

  • Table of molar heat capacity data for selected solids.

  • Plot of molar heat capacity data vs. temperature.

  • There is (1/2) RT of energy for each degree of freedom. For a monatomic gas, kinetic energy = 3/2 RT and molar heat capacity is (3/2) R.

  • Consider atoms in a monatomic solid as bonded by springs, having both potential and kinetic energy: there are six degrees of freedom, and molar heat capacity is 3 R.

  • All vibrations must be excited to achieve a value of 3 R, the so-called Law of Dulong and Petit.

  • Noted exceptions: Be, B, and C => unusually low values due to relatively high vibrational frequencies as a result of their low masses.

  • For salts, all atoms contribute so that a molar heat capacity of 3 Rp is expected, where p is the number of atoms in the salt's chemical formula.