Final answer:
To calculate the mass of CO required to react with Fe2O3, use the balanced chemical equation to determine the moles of CO needed. Convert the given mass of Fe2O3 to moles and then use the mole ratio from the equation to calculate the moles of CO. Finally, convert the moles of CO to grams using its molar mass.
Step-by-step explanation:
To determine the mass of CO required to react with 25.13 g of Fe2O3, we need to use the balanced chemical equation Fe2O3 + 3CO → 2Fe + 3CO2. Based on the equation, we can see that 3 moles of CO are required to react with 1 mole of Fe2O3. From the equation, we can determine the molar mass of CO (28.01 g/mol) and Fe2O3 (159.69 g/mol).
First, convert the given mass of Fe2O3 to moles using the molar mass:
25.13 g Fe2O3 × (1 mol Fe2O3 / 159.69 g Fe2O3) = 0.15737 mol Fe2O3
Next, using the mole ratio from the balanced equation, calculate the moles of CO required:
0.15737 mol Fe2O3 × (3 mol CO / 1 mol Fe2O3) = 0.47211 mol CO
Finally, convert the moles of CO to grams using the molar mass:
0.47211 mol CO × (28.01 g CO / 1 mol CO) = 13.21 g CO