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Carbon steel ball with diameter of 150 mm is heat treated in a gas fired furnace where the gas in the furnace is at 1200 K and convection coefficient of 55 W/ mK. If the initial temperature of the carbon steel ball is 450K and the specific heat capacity and density of Carbon Steel are 600 J/kg.K and 7800 kg/mº respectively; be How much time does the ball take to be heated to a temperature of 900K (4 marks] b. What will be the temperature of the ball after 200 minutes of heating 13 marks] c. If you increase the diameter of the ball three times what will be the duration required for heating the ball to the required temperature of 900K [3 marks] bat a.