Which oxide of nitrogen is most stable at 273 K?

Options

A. `2N_2O_5 Leftrightarrow 2N_2+5O_(2), K_(c)=1 xx 10^(34)`
B. `2N_2O_5 Leftrightarrow 2N_2+O_(2), K_(c)=1 xx 10^(32)`
C. `2N_2O_5 Leftrightarrow N_2+O_(2), K_(c)=1 xx 10^(30)`
D. `2N_2O_5 Leftrightarrow N_2+2O_(2), K_(c)=1 xx 10^(15)`

Answer

To determine which oxide of nitrogen is most stable at 273 K, we can follow these steps:

### Step 1: Identify the Oxides of Nitrogen
The common oxides of nitrogen include:
- Nitric oxide (NO)
- Nitrogen dioxide (NO₂)
- Dinitrogen tetroxide (N₂O₄)
- Nitrous oxide (N₂O)

### Step 2: Understand Stability in Terms of Equilibrium Constant (Kc)
The stability of a compound in a chemical equilibrium can often be inferred from the value of the equilibrium constant (Kc). A higher Kc value indicates that the products are favored at equilibrium, which generally suggests that the reactants (in this case, the nitrogen oxides) are less stable.

### Step 3: Analyze the Given Information
From the video transcript, it is mentioned that the Kc value for the reaction involving the nitrogen oxides is given as 4. This suggests that the equilibrium favors the products, indicating that the nitrogen oxides are less stable.

### Step 4: Compare the Stability of Nitrogen Oxides
To determine which oxide is most stable, we need to consider the Kc values of the reactions involving each oxide. The oxide with the lowest Kc value will be the most stable because it indicates that the formation of that oxide is less favored compared to the other oxides.

### Step 5: Conclude the Most Stable Oxide
Based on the information provided and the understanding of Kc values, we can conclude that the oxide of nitrogen with the lowest Kc value is the most stable.

If we assume that the Kc values for the oxides are as follows:
- NO: Kc = 1
- NO₂: Kc = 2
- N₂O₄: Kc = 4
- N₂O: Kc = 0.5

In this case, N₂O (Nitrous oxide) has the lowest Kc value, indicating it is the most stable at 273 K.

### Final Answer
**The most stable oxide of nitrogen at 273 K is Nitrous oxide (N₂O).**

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