The heat balance can be described by the Fourier-Kirchoff equation
lambda*laplacian(T)+qv=rho*Cp*dT/dt             (eq.1)
for the majority of homogeneous materials,
where:
lambda*laplacian(T) - describe heat flow by the particular material cell
qv                         - heat generation by the particular cell volume
rho*Cp*dT/dt           - thermal inertia

The (eq.1) should be supplemented by the boundary and initial conditions.

The thermal dynamic properties is described by the specific heat Cp (more
precisely by the thermal diffusivity parameter a=lambda/(rho*Cp) and
boundary conditions).

The typical parameters:
Material                        lambda                  cp
rho - material density
Copper                                  389-356 [W/(mK)]        381-435[J/(kg
K)]       8900 [kg/m^3]
Air(20oC;0.1013MPa;dry) 2.59E-2 [W/(mK)]        1.005E3 [J/(kg K)]      1.205
[kg/m^3]

Best regards,
Mariusz Zubert