Dulong-Petit Law (C = 3R)

jee-mainjee-advanced

C = 3R

What each symbol means

SymbolWhat it stands for
CMolar specific heat capacity of solid (J mol⁻¹ K⁻¹)
RUniversal gas constant = 8.314 J mol⁻¹ K⁻¹

When to use this

Valid for most solids at ordinary temperatures (T >> θ_D, the Debye temperature). Breaks down at low temperatures where quantum effects dominate (C → 0 as T → 0, consistent with third law). Per mole of atoms; for compounds like NaCl, use 3R per atom. Based on equipartition theorem with 3D oscillators (6 DOF).