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A steel bar 10cm long is welded end to end with a copper bar 20cm long. Each bar has the same cross sectional area on 2cm^2 a side. The left of the steel bar is in contact with steam at 100 degree celcius while the right end of the copper bar is in contact with ice at 0 degree celcius. What is the temperature at the junction between the two bars? What is the total rate of heat conduction?

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