Which of the following equilibria will proceed to farthest completion?

Options

A. `2N_(2)O_(5)hArr 4NO_(2)+O_(2)" "K_(C)=1.2xx10^(34)`
B. `2N_(2)OhArr 2N_(2)+O_(2)" "K_(C)=3.5xx10^(33)`
C. `2NOhArr N_(2)+O_(2)" "K_(C)=2.2xx10^(30)`
D. `2NO_(2)hArr N_(2)+2O_(2)" "K_(C)=2xx10^(16)`

Answer

To determine which of the given equilibria will proceed to the farthest completion, we need to analyze the equilibrium constants (Kc) for each reaction. The equilibrium constant is a measure of the extent to which a reaction will proceed to completion. Here are the steps to solve the problem:

### Step-by-Step Solution:

1. **Understand the Concept of Equilibrium Constant (Kc)**:
- The equilibrium constant (Kc) is defined as the ratio of the concentration of products to the concentration of reactants at equilibrium. It can be expressed as:
\[ K_c = \frac{[\text{Products}]}{[\text{Reactants}]} \]
- A higher value of Kc indicates that the reaction favors the formation of products, meaning it will proceed further towards completion.

2. **Identify the Given Kc Values**:
- From the problem, we have the following Kc values:
- Option 1: \(10^{34}\)
- Option 2: \(10^{33}\)
- Option 3: \(10^{30}\)
- Option 4: \(10^{16}\)

3. **Compare the Kc Values**:
- To determine which reaction proceeds to the farthest completion, we need to compare the Kc values. The larger the Kc value, the more the reaction favors the products.
- Comparing the values:
- \(10^{34} > 10^{33} > 10^{30} > 10^{16}\)

4. **Determine the Reaction with the Highest Kc**:
- The highest Kc value is \(10^{34}\) from option 1. This indicates that this reaction is the most favorable to go to completion.

5. **Conclusion**:
- Therefore, the equilibrium that will proceed to the farthest completion is the one with the highest Kc value, which is option 1.

### Final Answer:
The correct answer is **Option 1**.