One end of copper rod of length $1.0 \mathrm{m }$and area of cross - section ${10}^{-3} {\mathrm{m}}^2$ is immersed in boiling water and the other end in ice. If the coefficient of thermal conductivity of copper is $92 \mathrm{cal}/\mathrm{m}-\sec -{\mathrm{C}}^{\mathrm{o}}$ and latent heat of ice is $8 \mathrm{x} {10}^4 \mathrm{cal}/\mathrm{kg}$, then the amount of ice with will melt in one minute is