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Question 2 A sintering line converts powdered and pressed iron into complex shapes for industrial equipment. The sintering line must reach a temperature of 950C to ensure that quality sintered products are created. For every tonne of iron sinter heated in the sintering furnace, 630MJ of heat energy are required. The heat is supplied by a fuel source. Two fuels are available, coal or natural gas, and you are tasked with comparing the lowest cost heating option under the conditions of an upcoming carbon tax of $100/ tonne CO2. Assume for all calculations that carbon is converted to CO2 assuming Equation 1. C+O2=CO2 2.1 Coal is available with a heating value of 18,000kJ/kg and cost of $100/ tonne. The coal is 70 wt % carbon. What is the total cost of coal, considering the above carbon tax? 2.2 Natural gas is available with a heating value of 47,000kJ/kg and cost of $250/ tonne. Assume natural gas is 75% carbon by mass. What is the total cost of natural gas, considering the above carbon tax? 2.3 What is the cost difference between these two options? Which is the lowest cost operating decision