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(Solved): Design an experiment to study the kinetics of a heterogeneous metallurgical reaction, such as the r ...



Design an experiment to study the kinetics of a heterogeneous metallurgical reaction, such as the reduction of metal oxide (MO) with carbon (C). 1. Describe the experimental setup required to carry out this reaction in a laboratory. 2. What factors (e.g., temperature, particle size, reactant concentration) would you vary during the experiment to study the reaction kinetics? What did you determine as the variables for the reaction you chose and what are their numerical values, why? 3. Explain how you would determine the order of the reaction with respect to metal oxide and carbon. 4. Suggest a method for measuring the concentration of the products (metal, CO or \( \mathrm{CO}_{2} \) ) or reactants (MO, C) during the reaction. Consider the use of analytic techniques. 5. How would you plot the data to determine the order of the reaction? What kind of graph would you expect if the reaction is first order, with respect to a selected reactant? 6. Derive the rate law for the reaction in terms of the concentrations of the reactants (MO and C ) and the rate constant ( k ). 7. Propose a method to calculate the rate of reaction at different stages (e.g., initial rate, average rate) and discuss how these measurements can help understand the reaction mechanism. 8. Describe an experiment using the Arrhenius equation to determine the activation energy. Include details on how temperature variations would be applied and how the data would be analyzed. 9. Draw a reaction profile for the above reduction process. Including the energy level of the reactants and products, the activation energy (Ea) with a hypothetical catalyst and without the catalyst.



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