Thermal conductivity and specific heat capacity do not have a direct relationship, although they can be somewhat related in certain materials. In metals, where thermal conductivity is primarily influenced by free carriers, a specific relationship exists: k=(1/3)c_v*v*l. Here, k represents thermal conductivity, c_v is specific heat capacity, v is the mean carrier speed, and l is the mean free path. Understanding this relationship is crucial for applications in materials science and engineering. Overall, while there is a connection in specific contexts, the two properties are fundamentally distinct.