Final answer:
To calculate the percentage yield of methyl alcohol, use the formula: Percentage Yield = (Actual Yield / Theoretical Yield) x 100. Calculate the moles of CH3OH using the moles of H₂ and the molar ratio from the balanced equation. Determine the theoretical yield of methyl alcohol by multiplying the moles of CH3OH by its molar mass. Finally, calculate the percentage yield using the actual yield and theoretical yield.
Step-by-step explanation:
The percentage yield of methyl alcohol can be calculated using the formula:
Percentage Yield = (Actual Yield / Theoretical Yield) x 100
First, we need to calculate the theoretical yield of methyl alcohol. The balanced equation for the reaction is:
2H₂(g) + CO(g) → CH3OH(g)
From the equation, we can see that the molar ratio between H₂ and CH3OH is 2:1. So, the molar amount of CH3OH produced can be calculated as:
Moles of CH3OH = Moles of H₂ / 2
To calculate the moles of H₂, we need to convert the given mass of H₂ to moles using the molar mass of H₂. Then we can plug the moles of H₂ into the equation above to calculate the moles of CH3OH.
Next, we can calculate the theoretical yield of methyl alcohol by multiplying the moles of CH3OH by its molar mass. Finally, we can use the actual yield and theoretical yield to calculate the percentage yield using the formula mentioned earlier.
Plug in the given values and do the calculations to find the percentage yield of methyl alcohol.