A high temperature furnace heated by burning natural gas has a wall thickness of 10 cm and external dimensions of 50 cm x 40 cm x 70 cm. The furnace is made of alumina fire bricks (k= 5 W/m°C). When the heat generated from natural gas combustion is 5 kW the inside wall of the furnace reaches a steady state temperature of 800 °C. What is the temperature on the outside wall of the furnace?

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