A Rod, with Sides Insulated to Prevent Heat Loss, Has $7.05 \mathrm {~cm} ^ { 2 }$

Short Answer

A rod, with sides insulated to prevent heat loss, has one end immersed in boiling water at 100°C and the other end in a water-ice mixture at 0°C. The rod has uniform cross-sectional area $7.05 \mathrm {~cm} ^ { 2 }$ and length $87 \mathrm {~cm} .$ The heat conducted by the rod melts the ice at a rate of 1.0 g every 11 seconds. What is the thermal conductivity of the rod? Recall that the heat of fusion of water is 3.34 × 10⁵ J/kg.