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Chemistry · EQUILIBRIUM

हिन्दी

For the reaction \( \text{CO}_2(\text{g}) + \text{C}(\text{s}) \rightleftharpoons 2\text{CO}(\text{g}) \) at \( 1000\text{ K} \), \( K_p = 3.0 \). If initially only \( \text{CO}_2 \) is present at a pressure of \( 0.48\text{ bar} \) in the presence of excess graphite, the partial pressures of \( \text{CO} \) and \( \text{CO}_2 \) at equilibrium are respectively:

  1. \( 0.66\text{ bar} \) and \( 0.15\text{ bar} \)
  2. \( 0.33\text{ bar} \) and \( 0.15\text{ bar} \)
  3. \( 0.15\text{ bar} \) and \( 0.66\text{ bar} \)
  4. \( 0.48\text{ bar} \) and \( 0.24\text{ bar} \)

Correct answer · Option 1

\( 0.66\text{ bar} \) and \( 0.15\text{ bar} \)

Explanation

\( K_p = \frac{(2x)^2}{0.48 - x} = 3.0 \implies 4x^2 + 3x - 1.44 = 0 \implies x = 0.33\text{ bar} \). Thus, \( p_{\text{CO}} = 2x = 0.66\text{ bar} \) and \( p_{\text{CO}_2} = 0.48 - 0.33 = 0.15\text{ bar} \).
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