To find the percent yield of the reaction, we need to compare the actual yield to the theoretical yield and then calculate the percentage.
Step 1: Calculate the molar mass of each compound:
- Methanol (CHOH): 12.01 + 1.01 + 16.00 + 1.01 = 30.03 g/mol
- Oxygen (O2): 16.00 * 2 = 32.00 g/mol
- Carbon Dioxide (CO2): 12.01 + 16.00 * 2 = 44.01 g/mol
- Water (H2O): 1.01 * 2 + 16.00 = 18.02 g/mol
Step 2: Calculate the moles of each substance:
- Moles of methanol: 10.4 g / 30.03 g/mol = 0.346 moles
- Moles of oxygen: 16.3 g / 32.00 g/mol = 0.509 moles
Step 3: Determine the limiting reactant:
Using the balanced chemical reaction, we see that methanol has a 1:1 ratio with carbon dioxide. Therefore, methanol is the limiting reactant because there are fewer moles of methanol than oxygen available.
Step 4: Calculate the theoretical yield of CO2:
Since methanol is the limiting reactant, the moles of CO2 formed will be equal to the moles of methanol used.
Moles of CO2 = 0.346 moles
Step 5: Calculate the theoretical yield of CO2 in grams:
Theoretical yield of CO2 = moles of CO2 * molar mass of CO2
Theoretical yield of CO2 = 0.346 moles * 44.01 g/mol = 15.22 g
Step 6: Calculate the percent yield:
Percent yield = (actual yield / theoretical yield) * 100%
Percent yield = (10.1 g / 15.22 g) * 100% = 66.49%
\boxed{66.49\%} yield for the reaction.