A rod, with sides insulated to prevent heat loss, has one end immersed in boiling water (T = 100degreesC) and the other end in a water-ice mixture. The rod has uniform cross-sectional area 7.05cm2 and length 87 cm. The heat conducted by the rod melts the ice at a rate of 1 gram every 11seconds. What is the thermal connectivity of the rod? (Recall that the heat of fusion of water is 3.34 x105J/kg)