Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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![### Equilibrium and Reaction Quotient (Q)
#### The reaction A(g) ⇋ 2B(g) is carried out in reaction vessels with the same volume at 25.0°C. (Species A is represented by the black circles; B is represented by the white circles.) Which scenario has the highest value of Q? (Choose one.)
In the context of chemical equilibrium, the reaction quotient (Q) is an important parameter. It is calculated using the concentrations of the reactants and products at any point in time during the reaction. The formula for the reaction quotient for the given reaction is:
\[ Q = \frac{{[B]^2}}{{[A]}} \]
where:
- [A] is the concentration of the reactant A (black circles)
- [B] is the concentration of the product B (white circles)
Below are three different scenarios depicting the reaction mixtures:
**Scenario 1:**
- Contains 3 black circles (A) and 5 white circles (B).
**Scenario 2:**
- Contains 3 black circles (A) and 3 white circles (B).
**Scenario 3:**
- Contains 3 black circles (A) and 7 white circles (B).
**Which scenario has the highest value of Q?**
- **Scenario 1**
- **Scenario 2**
- **Scenario 3**
- **They all have the same value of Q**
#### Detailed Analysis
By calculating the reaction quotient, Q, for each scenario:
- **Scenario 1:**
\[
Q_1 = \frac{{(5)^2}}{{3}} = \frac{{25}}{{3}} \approx 8.33
\]
- **Scenario 2:**
\[
Q_2 = \frac{{(3)^2}}{{3}} = \frac{{9}}{{3}} = 3
\]
- **Scenario 3:**
\[
Q_3 = \frac{{(7)^2}}{{3}} = \frac{{49}}{{3}} \approx 16.33
\]
#### Conclusion
Scenario 3 has the highest value of Q. Therefore, the correct answer is:
- **Scenario 3**](https://content.bartleby.com/qna-images/question/db8ba6cb-f074-43c1-b7bc-05cc004f9981/02db1acd-023a-4f72-abe7-308a6dc93907/mxi8tl6_processed.png)
Transcribed Image Text:### Equilibrium and Reaction Quotient (Q)
#### The reaction A(g) ⇋ 2B(g) is carried out in reaction vessels with the same volume at 25.0°C. (Species A is represented by the black circles; B is represented by the white circles.) Which scenario has the highest value of Q? (Choose one.)
In the context of chemical equilibrium, the reaction quotient (Q) is an important parameter. It is calculated using the concentrations of the reactants and products at any point in time during the reaction. The formula for the reaction quotient for the given reaction is:
\[ Q = \frac{{[B]^2}}{{[A]}} \]
where:
- [A] is the concentration of the reactant A (black circles)
- [B] is the concentration of the product B (white circles)
Below are three different scenarios depicting the reaction mixtures:
**Scenario 1:**
- Contains 3 black circles (A) and 5 white circles (B).
**Scenario 2:**
- Contains 3 black circles (A) and 3 white circles (B).
**Scenario 3:**
- Contains 3 black circles (A) and 7 white circles (B).
**Which scenario has the highest value of Q?**
- **Scenario 1**
- **Scenario 2**
- **Scenario 3**
- **They all have the same value of Q**
#### Detailed Analysis
By calculating the reaction quotient, Q, for each scenario:
- **Scenario 1:**
\[
Q_1 = \frac{{(5)^2}}{{3}} = \frac{{25}}{{3}} \approx 8.33
\]
- **Scenario 2:**
\[
Q_2 = \frac{{(3)^2}}{{3}} = \frac{{9}}{{3}} = 3
\]
- **Scenario 3:**
\[
Q_3 = \frac{{(7)^2}}{{3}} = \frac{{49}}{{3}} \approx 16.33
\]
#### Conclusion
Scenario 3 has the highest value of Q. Therefore, the correct answer is:
- **Scenario 3**
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