Answer:
67.88% is the percent yield.
Explanation:
[tex]CH_4(g) + 2O_2(g)\rightarrow CO_2(g) + 2H_2O(g)[/tex]
Moles of methane = [tex]\frac{60.0 g}{16 g/mol}=3.75 mol[/tex]
According to reaction,1 mole of methane gives 1 mole of carbon dioxide gas, then 3.75 moles of methane will give :
[tex]\frac{1}{1}\times 3.75 mol =3.75 mol[/tex] of carbon dioxide gas
Mass of 3.75 moles of carbon dioxide gas:
3.75 mol × 44 g/mol = 165 g
Theoretical yield of the carbon dioxide gas = 165 g
Experimental yield of the carbon dioxide gas = 112 g
The percentage yield of the reaction :
[tex]Yield\%=\frac{\text{actual yield}}{\text{Theoretical yield}}\times 100[/tex]
[tex]=\frac{112 g}{165 g}\times 100=67.88\%[/tex]
67.88% is the percent yield.