Answer:
The percent yield is 66.7%
Explanation:
1. The balanced chemical reaction to obtain carbon dioxide from the methane is:
[tex]CH_{4}+2O_{2}=CO_{2}+2H_{2}O[/tex]
2. Calculathe the theoretical quantity of carbon dioxide.
As the problem says that the limiting reagent is the methane, all the calculations will be made from this quantity:
[tex]12.0gCH_{4}*\frac{1molCH_{4}}{16gCH_{4}}*\frac{1molCO_{2}}{1molCH_{4}}*\frac{44gCO_{2}}{1molCO_{2}}=33gCO_{2}[/tex]
3. Calculate the percent yield:
Percent yield = [tex]\frac{actualyield}{theoreticalyield}*100[/tex]
Percent yield = [tex]\frac{22.0g}{33.0g}*100[/tex]
Percent yield = 66.7%