A mixture of air at 1.0 bar and 2000K was passed through an electric arc to produce nitric oxide. `N_2(g)+O_2 (g) Leftrightarrow 2NO(g), K=4.0 xx 10^(-4)`
What are partial pressure of gases at equilibrium?
What fraction of `O_2` is converted? Assume that the composition of air is `N_2 and O_2` in a 4:1 molar ratio.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Determine Initial Partial Pressures
Given that the composition of air is in a 4:1 molar ratio of \(N_2\) to \(O_2\), we can calculate the initial partial pressures of \(N_2\) and \(O_2\) in the mixture at a total pressure of 1.0 bar.

- Let the partial pressure of \(N_2\) be \(P_{N_2}\) and that of \(O_2\) be \(P_{O_2}\).
- From the ratio, we can express:
\[
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