An uninsulated cylindrical wire of radius $\text{1.0 mm}$ produces electric heating at the rate of $\text{5.0 W/m}$. The temperature of the surface of the wire is $75\;^{\circ}C$ when placed in air at $25\;^{\circ}C$. When the wire is coated with $\text{PVC}$ of thickness $\text{1.0 mm}$, the temperature of the surface of the wire reduces to $55\;^{\circ}C$. Assume that the heat generation rate from the wire and the convective heat transfer coefficient are same for both uninsulated wire and the coated Wire. The thermal conductivity of $\text{PVC}$ is ______ $\text{W/m.K}$ ($\textit{round off to two decimal places}$).
