Key Equations

Linear thermal expansion	$Δ L = α L Δ T$
Thermal expansion in two dimensions	$Δ A = 2 α A Δ T$
Thermal expansion in three dimensions	$Δ V = β V Δ T$
Heat transfer	$Q = m c Δ T$
Transfer of heat in a calorimeter	$Q_{cold} + Q_{hot} = 0$
Heat due to phase change (melting and freezing)	$Q = m L_{f}$
Heat due to phase change (evaporation and condensation)	$Q = m L_{v}$
Rate of conductive heat transfer	$P = \frac{k A (T_{h} - T_{c})}{d}$
Net rate of heat transfer by radiation	$P_{net} = σ e A (T_{2}^{4} - T_{1}^{4})$