Special furnace. when the newly, solidified ingot is removed from the furnace, it is assumed to have a uniform initial temperature of 1600 k, which is below the crystallization temperature. at this temperature, the thermal conductivity of silicon is 22w=m? k, the density is 2300 kg=m3, and the heat capacity is 1000 j=kg ? k. the hot solid silicon ingot is allowed to cool in air maintained at a constant ambient temperature of 30°c. the diameter of the silicon rod is 15 cm. end effects are considered negligible. the convective heat-transfer coefficient is 147w=m2 ? k. what temperature will exist 1.5 cm from the surface of the ingot after a cooling time of 583 sec (9.72 min)?