Thermal conductivity and specific heat capacity

AI Thread Summary
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.
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Is there any direct relationship between these 2 properties of a matter?
 
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There is no direct relationship.
 
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.
 
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