Thermal conductivity and specific heat capacity

[hanson]

Is there any direct relationship between these 2 properties of a matter?

 

[quark]

There is no direct relationship.

 

[vaatmoly]

They can be somewhat related. For metals where thermal conductivity is dominated by free carriers, thermal conductivity(k) and specific heat(c_v) can be related by: k=(1/3)c_v*v*l, where v is the mean carrier speed and l the mean free path.