Find the rate of heat transfer passing from the boiling water to the ice bath.

A copper rod of length 0.40 m and cross-sectional area 9.00E-2 cm^2 is connected to an iron rod with the same cross section and length 0.200 m (See figure below). One end of the copper is immersed in boiling water and the other end is at the junction with the iron. If the far end of the iron rod is in an ice bath at 0°C, find the rate of heat transfer passing from the boiling water to the ice bath. Assume there is no heat loss to the surrounding air.