Heat And Thermodynamics

The length of a metal bar is 20 cm and the ares of cross-section is $4 \times 10^{-4} \mathrm{~m}^2$. If one end of the rod is kept in ice at $0^{\circ} \mathrm{C}$ and the other end is kept in steamat $100^{\circ} \mathrm{C}$, the mass of ice melted in one minute is 5 g , the thermal conductivity of the matal in $\mathrm{Wm}^{-1} \mathrm{~K}^{-1}$ is (Latent heat of fusion $=80 \mathrm{cal} / \mathrm{g}$ )