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JEE Main2015ChemistryChemical EquilibriumActual

The standard Gibbs energy change at 300 K for the reaction 2 A ⇌ B + C is 2494.2 J. At a given time, the composition of the reaction mixture is A = 1 2 , B = 2 and C = 1 2 . The reaction proceeds in the: [ R = 8.314 J / K - m o l , e = 2.718 ] Given antilog (-0.44)=0.36

Options

  1. AReverse direction because Q < K C
  2. BForward direction because Q > K C
  3. CReverse direction because Q > K C
  4. DForward direction because Q < K C

Correct answer

C. Reverse direction because Q > K C

Step-by-step solution

&#916; G &#8728; = - RT ln K C 2494.2 = - 8.314 &#215; 300 ln K C 2494.2 = - 8.314 &#215; 300 &#215; 2.303 log K C - 2494.2 2.303 &#215; 300 &#215; 8.314 = - 0.44 = log K C log K C = - 0.44 K C = 0.36 Q = [ B ] [ C ] [ A ] 2 = 2 &#215; 1 2 1 2 2 = 4 Q &#62; K C , reaction will shift in reverse direction.

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