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AIIMS2019ChemistryThermodynamics (C)

Reaction, A B+3 C at 25^ C is in equilibrium. If equilibrium constant and Gibbs' free energy for this reaction are y and x respectively, then the Gibbs' free energy for reaction, 1 2 A 1 2 B+ 3 2 C is

Options

  1. Ax ^2
  2. Bx^2
  3. Cx^ 2 / 3
  4. Dx / 2

Correct answer

D. x / 2

Step-by-step solution

aligned & A B+3 C & K= [B][C]^3 [A] & G^ =-R T K=x aligned For the reaction, 1 2 A 1 2 B+ 3 2 C aligned & K^ = [B]^ 1 / 2 [C]^ 3 / 2 [A]^ 1 / 2 or (K^ )^2= [B][C]^3 [A] =K & G₂^ =-R T K^ =-R T K & =- 1 2 R T K= x 2 aligned

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