A mixture of nitrogen and hydrogen in a proportion of 1 : 3 by volume was subjected to a pressure of 30 atm and a temperature of 723 K. After equilibrium was established, and cooled, the analysis indicated that the mixture contained 6% of ammonia by volume. Calculate `K_p`

Explanation

To solve the problem, we will follow these steps:

### Step 1: Write the balanced chemical equation
The reaction for the formation of ammonia from nitrogen and hydrogen is:
\[ \text{N}_2(g) + 3\text{H}_2(g) \rightleftharpoons 2\text{NH}_3(g) \]

### Step 2: Determine initial moles based on volume ratio
Given the initial volume ratio of nitrogen to hydrogen is 1:3, we can assume:
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