Dimensional Analysis and Stoichiometry in Chemical Reactions

Problem Statement

• Objective: Convert mass of ilmenite to mass of carbon monoxide in a chemical reaction.
• Example Problem: "How many grams of carbon monoxide are produced from 46.5 grams of ilmenite according to the equation?"

Steps in the Conversion Process

1. Initial Mass to Moles Conversion

   • Start with 46.5 grams of ilmenite.
   • Convert grams of ilmenite to moles using its molar mass.

2. Stoichiometry: Moles of Ilmenite to Moles of Carbon Monoxide

   • Use the balanced chemical equation to change from moles of ilmenite to moles of carbon monoxide.
   • Coefficient Ratio: 1 mole of ilmenite is needed for every 3 moles of carbon monoxide.

3. Final Moles to Mass Conversion

   • Convert moles of carbon monoxide to grams using its molar mass.

Result

• Calculation yields 25.8 grams of carbon monoxide.

Key Concepts

• Dimensional Analysis: Converting between quantities using their dimensional equations.
• Stoichiometry: Using balanced chemical equations to relate quantities of reactants and products.
• Molar Mass: A conversion factor to switch between grams and moles.