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 equilibrium will proceed to the farthest completion, we need to analyze the equilibrium constants (Kc) given for each reaction. The equilibrium constant is a measure of the extent to which a reaction proceeds to form products. A larger Kc value indicates that the reaction favors the formation of products over reactants.

### Step-by-Step Solution:

1. **Identify the Equilibrium Constants**:
We have the following equilibrium constants for the reactions:
- Reaction 1: Kc = 1.2 × 10^34
- Reaction 2: Kc = 3.5 × 10^33
- Reaction 3: Kc = 2.2 × 10^30
- Reaction 4: Kc = 10^16

2. **Compare the Kc Values**:
To determine which reaction proceeds to the farthest completion, we compare the values of Kc:
- 1.2 × 10^34 (Reaction 1)
- 3.5 × 10^33 (Reaction 2)
- 2.2 × 10^30 (Reaction 3)
- 10^16 (Reaction 4)

3. **Identify the Largest Kc**:
The largest Kc value is 1.2 × 10^34 from Reaction 1. This indicates that the forward reaction is significantly favored over the reverse reaction.

4. **Conclusion**:
Since Reaction 1 has the highest equilibrium constant, it will proceed to the farthest completion compared to the other reactions.

### Final Answer:
The equilibrium that will proceed to the farthest completion is **Reaction 1** (Kc = 1.2 × 10^34).

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