The length of a metal bar is 20 {\cm} and the area of cross section is 4 \times 10^{-4} {\m}^2. If one end of the rod is kept in ice at 0^{\circ} {\C} and the other end is kept in steam at 100^{\circ} {\C}, the mass of ice melted in one minute is 5 {\g}. The thermal conductivity of the metal in {\Wm}^{-1} {\K}^{-1} is (Latent heat of fusion =80 {\cal} \\/ {\gm} ) [AP EAPCET 18 May 2024 Shift 1]