Consider the chemical equation for the production of water: 2 H2+O2→2 H2O. If 100 grams of oxygen gas are used, what would the percent yield be if 75 g of H2O was produced? Show your work.

Respuesta :

Answer:

The percentage yield of water is 66.67%.

Explanation:

[tex]2H_2+O_2\rightarrow 2H_2O[/tex]

Mass of oxygen gas = 100 g

Moles of oxygen gas = [tex]\frac{100 g}{32 g/mol}=3.125 mol[/tex]

According to reaction, 1 mole of oxygen gives 2 moles of water, then 3.125 moles of oxygen will give:

[tex]\frac{2}{1}\times 3.125 mol=6.25 mol[/tex]

Mass of 6.25 moles of water :

6.25 mol × 18 g/mol = 112.5 g

Theoretical yield of water = 112.5 g

Experimental yield of water = 75 g

Percentage yield :

[tex]=\frac{\text{Experimental yield}}{\text{Theoretical yield}}\times 100[/tex]

[tex]=\frac{75 g}{112.5 g}\times 100=66.67\%[/tex]

The percentage yield of water is 66.67%.