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Chemistry · EQUILIBRIUM

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At \( 800\text{ K} \), the equilibrium constant \( K_c \) for \( \text{CO}(\text{g}) + \text{H}_2\text{O}(\text{g}) \rightleftharpoons \text{CO}_2(\text{g}) + \text{H}_2(\text{g}) \) is \( 4.24 \). If initial concentrations are \( [\text{CO}] = [\text{H}_2\text{O}] = 0.10\text{ M} \), the equilibrium concentration of \( \text{CO}_2 \) is \( 0.067\text{ M} \). What is the equilibrium concentration of \( \text{CO} \)?

  1. \( 0.067\text{ M} \)
  2. \( 0.033\text{ M} \)
  3. \( 0.100\text{ M} \)
  4. \( 0.016\text{ M} \)

Correct answer · Option 2

\( 0.033\text{ M} \)

Explanation

At equilibrium, \( [\text{CO}] = 0.10 - x \). Given \( x = 0.067\text{ M} \), \( [\text{CO}] = 0.10 - 0.067 = 0.033\text{ M} \).
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