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what is the % yield if 20 grams of hydrogen is reacted with 32 grams of…

Question

what is the % yield if 20 grams of hydrogen is reacted with 32 grams of oxygen and produces 9 grams of water?
○ 9%
○ 18%
○ 25%
○ 36%

Explanation:

Step1: Write balanced reaction

$\ce{2H2 + O2 -> 2H2O}$

Step2: Find limiting reactant

Molar mass of $\ce{H2}=2\ \text{g/mol}$, moles of $\ce{H2}=\frac{20}{2}=10\ \text{mol}$
Molar mass of $\ce{O2}=32\ \text{g/mol}$, moles of $\ce{O2}=\frac{32}{32}=1\ \text{mol}$
From reaction, 1 mol $\ce{O2}$ reacts with 2 mol $\ce{H2}$. $\ce{O2}$ is limiting.

Step3: Calculate theoretical yield

1 mol $\ce{O2}$ produces 2 mol $\ce{H2O}$. Molar mass of $\ce{H2O}=18\ \text{g/mol}$
Theoretical yield $=2\times18=36\ \text{g}$

Step4: Compute percent yield

$\text{Percent Yield} = \frac{\text{Actual Yield}}{\text{Theoretical Yield}} \times 100\% = \frac{9}{36} \times 100\%$

Answer:

25 %