Questions: Consider the balanced chemical reaction below. When the reaction was carried out, the calculated theoretical yield for carbon dioxide was 546 grams, but the measured yield was 483 grams. What is the percent yield? Fe2 O3 + 3 CO → 2 Fe + 3 CO2

Solution Steps

Percent yield is a measure of the efficiency of a chemical reaction, calculated by comparing the actual yield (measured yield) to the theoretical yield. The formula for percent yield is:

\[ \text{Percent Yield} = \left( \frac{\text{Actual Yield}}{\text{Theoretical Yield}} \right) \times 100\% \]

From the problem, we have:

• Theoretical yield of carbon dioxide = 546 grams
• Actual yield of carbon dioxide = 483 grams

Substitute the given values into the percent yield formula:

\[ \text{Percent Yield} = \left( \frac{483 \, \text{grams}}{546 \, \text{grams}} \right) \times 100\% \]

Calculate the fraction:

\[ \frac{483}{546} \approx 0.8846 \]

Multiply by 100 to convert to a percentage:

\[ 0.8846 \times 100\% = 88.46\% \]

Final Answer