Question:

One mole of \( A (g) \) is heated to \( T(K) \) till the following equilibrium is obtained \[ A(g) \rightleftharpoons B(g) \] The equilibrium constant of this reaction is \( 10^{-1} \). After reaching the equilibrium, 0.5 moles of A (g) is added and heated. The equilibrium is again established. The value of \( \left[\frac{A}{B}\right] \) is

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When adding more reactant to a reaction at equilibrium, the system will shift to re-establish equilibrium, changing the concentration ratio.
Updated On: May 13, 2025
  • \( 10^{-1} \)
  • \( 10^{2} \)
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The Correct Option is B

Solution and Explanation

The equilibrium constant for the reaction is given as \( K = 10^{-1} \). The number of moles of \( A \) initially is 1 mole. After adding 0.5 moles, we now have 1.5 moles of \( A \). The equilibrium concentration is shifted, and the new ratio of concentrations will be calculated using the new equilibrium condition. After the second equilibrium is established, the value of \( \left[\frac{A}{B}\right] \) is \( 10^{2} \).
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