The unit of thermal conductivity is :

W m-1 K-1 J m K-1 J m-1 K-1 W m K-1

W m-1 K-1

he heat current related to difference of temperature across the length l of a conductor of area A is  \(\frac{dH}{dt}\) = KA \(\Delta T \frac{1}{L}\) K = \(\frac{L dH}{A dt \Delta T}\)  Thus, the units are : W m-1 K-1