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Chemistry · EQUILIBRIUM

हिन्दी

In the reaction \( \text{CO}(\text{g}) + 3\text{H}_2(\text{g}) \rightleftharpoons \text{CH}_4(\text{g}) + \text{H}_2\text{O}(\text{g}) \), if the volume of the equilibrium mixture is suddenly halved at constant temperature, how does the reaction quotient \( Q_c \) change immediately, and in which direction does the reaction shift?

  1. \( Q_c \) becomes \( \frac{1}{4}K_c \), reaction shifts in the forward direction
  2. \( Q_c \) becomes \( 4K_c \), reaction shifts in the reverse direction
  3. \( Q_c \) remains equal to \( K_c \), reaction remains at equilibrium
  4. \( Q_c \) becomes \( 2K_c \), reaction shifts in the forward direction

Correct answer · Option 1

\( Q_c \) becomes \( \frac{1}{4}K_c \), reaction shifts in the forward direction

Explanation

Halving volume doubles all concentrations: \( Q_c = \frac{(2[\text{CH}_4])(2[\text{H}_2\text{O}])}{(2[\text{CO}])(2[\text{H}_2])^3} = \frac{4}{16} K_c = \frac{1}{4} K_c \). Since \( Q_c < K_c \), the reaction shifts forward.
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