A steel bar 10.0cm long is welded end to end to a copper bar 20.0cm long. Each bar has a square cross section, 2.00cm on a side. The free end of the steel bar is kept at 100°c by placing it in contact with steam, and the free end of the copper bar is kept at 0°c by placing it in contact with ice. Both bars are perfectly insulated on their sides. Find the steady-state temperature at the junction of the two bars and the total rate of heat flow through the bars?