From the following data (at 298 K) prdict which oxide of Nitrogen is most stable
`2NO_2hArr N_2(g) +2O_2(g) , K= 6.7 xx 10 ^(16)`
` 2NO (g) hArr N_2(g) O_2( g) , K =2.2xx 10 ^(30)`

` 2N_2O (g) hArr 2N_2(g) + O_2(g) , K=3.5 xx 10^(23)`
` 2N_2O_5(g) hArr 2N_2(g) + 5O_2(g) , K= 1.2 xx 10^(34)`

Explanation

To determine which oxide of nitrogen is the most stable based on the given equilibrium constants, we can follow these steps:

### Step 1: Understand the relationship between stability and equilibrium constant (K)
The stability of a compound is inversely related to the equilibrium constant (K) of its decomposition reaction. A higher K value indicates that the reaction favors the formation of products, meaning the compound is less stable and more likely to decompose. Conversely, a lower K value suggests that the compound is more stable and less likely to decompose.

### Step 2: List the given reactions and their equilibrium constants
1. \( 2NO_2 \rightleftharpoons N_2(g) + 2O_2(g) \), \( K = 6.7 \times 10^{16} \)
2. \( 2NO(g) \rightleftharpoons N_2(g) + O_2(g) \), \( K = 2.2 \times 10^{30} \)
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