Question 27 of 32 If 10.0 moles of O₂ are reacted with excess NO in the reaction below, and only 8.4 mol of NO₂ were collected, then what is the percent yield for the reaction? 2 NO (g) + O₂ (g) → 2 NO₂ (g)

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### Percent Yield Calculation in Chemical Reactions

**Question:**

If 10.0 moles of \(O_2\) are reacted with excess \(NO\) in the reaction below, and only 8.4 mol of \(NO_2\) were collected, then what is the percent yield for the reaction?

**Chemical Equation:**

\[ 2NO(g) + O_2(g) \rightarrow 2NO_2(g) \]

**Details:**

Given:
- 10.0 moles of \(O_2\)
- Collected: 8.4 moles of \(NO_2\)

**Calculation:**

1. **Determine the theoretical yield:**

   According to the balanced equation, 1 mole of \(O_2\) produces 2 moles of \(NO_2\). Therefore, 10 moles of \(O_2\) would theoretically produce:

   \[ 10 \text{ moles } O_2 \times \frac{2 \text{ moles } NO_2}{1 \text{ mole } O_2} = 20 \text{ moles } NO_2 \]

2. **Percent Yield Formula:**

   \[ \text{Percent Yield} = \left( \frac{\text{Actual Yield}}{\text{Theoretical Yield}} \right) \times 100 \]

   In this case, the actual yield is 8.4 moles \(NO_2\).

   \[ \text{Percent Yield} = \left( \frac{8.4 \text{ moles } NO_2}{20 \text{ moles } NO_2} \right) \times 100 \]

3. **Calculate the Percent Yield:**

   \[ \text{Percent Yield} = 42\% \]

**Conclusion:**

The percent yield for the reaction is 42%.

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**Interactive Components:**

- **Calculator Interface:** Basic calculator interface showing numerical buttons (1-9, 0) and operations like \(/, \times, +, -, C\), and \(\times 10\) for ease of use in percent yield calculations.

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This problem helps students understand how to calculate the percent yield from a chemical reaction by applying stoichiometry and interpreting balanced chemical equations. It's a key concept in assessing the efficiency of reactions in laboratory and industrial settings.
Transcribed Image Text:### Percent Yield Calculation in Chemical Reactions **Question:** If 10.0 moles of \(O_2\) are reacted with excess \(NO\) in the reaction below, and only 8.4 mol of \(NO_2\) were collected, then what is the percent yield for the reaction? **Chemical Equation:** \[ 2NO(g) + O_2(g) \rightarrow 2NO_2(g) \] **Details:** Given: - 10.0 moles of \(O_2\) - Collected: 8.4 moles of \(NO_2\) **Calculation:** 1. **Determine the theoretical yield:** According to the balanced equation, 1 mole of \(O_2\) produces 2 moles of \(NO_2\). Therefore, 10 moles of \(O_2\) would theoretically produce: \[ 10 \text{ moles } O_2 \times \frac{2 \text{ moles } NO_2}{1 \text{ mole } O_2} = 20 \text{ moles } NO_2 \] 2. **Percent Yield Formula:** \[ \text{Percent Yield} = \left( \frac{\text{Actual Yield}}{\text{Theoretical Yield}} \right) \times 100 \] In this case, the actual yield is 8.4 moles \(NO_2\). \[ \text{Percent Yield} = \left( \frac{8.4 \text{ moles } NO_2}{20 \text{ moles } NO_2} \right) \times 100 \] 3. **Calculate the Percent Yield:** \[ \text{Percent Yield} = 42\% \] **Conclusion:** The percent yield for the reaction is 42%. --- **Interactive Components:** - **Calculator Interface:** Basic calculator interface showing numerical buttons (1-9, 0) and operations like \(/, \times, +, -, C\), and \(\times 10\) for ease of use in percent yield calculations. --- This problem helps students understand how to calculate the percent yield from a chemical reaction by applying stoichiometry and interpreting balanced chemical equations. It's a key concept in assessing the efficiency of reactions in laboratory and industrial settings.
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