Question:

The equilibrium constant for the reversible reaction

2A(g) \( \rightleftharpoons \) 2B(g) + C(g) is K1

\( {3 \over 2} \)A(g) \( \rightleftharpoons \) \( {3 \over 2} \)B(g) + \( {3 \over 4} \)C(g) is K2.

K1 and K2 are related as :

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If a reaction is multiplied by a factor n, its equilibrium constant is raised to the power n.
Updated On: Oct 31, 2026
  • \( {K_1} = \sqrt {{K_2}} \)
  • \( {K_2} = \sqrt {{K_1}} \)
  • \( {K_2} = K_1^{3/4} \)
  • \( {K_1} = K_2^{3/4} \)
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The Correct Option is C

Solution and Explanation

Step 1: Compare the two reactions: (3/4) \(\times\) [2A \(\rightleftharpoons\) 2B + C] = 3/2 A \(\rightleftharpoons\) 3/2 B + 3/4 C.
Step 2: Multiplying an equation by n gives K \(\to\) Kn, so K2 = (K1)3/4.
Answer: (C) K2 = K13/4
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