A metal rod of length $10 \,cm$ and area of cross-section $2.8 \times 10^{-4} m ^{2}$ is covered with a non-conducting substance. One end of it is maintained at $80^{\circ} C$, while the other end is put in ice at $0^{\circ} C .$ It is found that $20\, gm$ of ice melts in $5\, min$. The thermal conductivity of the metal in $Js ^{-1} m ^{-1} K ^{-1}$ is (Latent heat of ice is $80 \,cal\, g ^{-1} .$ )