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JEE Advanced2016ChemistryChemical EquilibriumActual

Paragraph: Thermal decomposition of gaseous X ₂ to gaseous X at 298 ~K takes place according to the following equation: X ₂( ~g ) 2 X ( g ) The standard reaction Gibbs energy, _ r G^ , of this reaction is positive. At the start of the reaction, there is one mole of X ₂ and no X . As the reaction proceeds, the number of moles of X formed is given by . Thus, _ equilibrium is the number of moles of X formed at equilibri

Options

  1. ADecrease in the total pressure will result in formation of more moles of gaseous X
  2. BAt the start of the reaction, dissociation of gaseous X 2 takes place spontaneously
  3. Cβ e q u i l i b r i u m = 0.7
  4. DK C < 1

Correct answer

C. β e q u i l i b r i u m = 0.7

Step-by-step solution

A] On decreasing P T Q = n x 2   P T n x 2   n T Q will be less than K p reaction will move in forward direction B] At the start of the reaction ∆ G = ∆ G o + R T ln Q t = 0 ,   Q = 0 ⇒ ∆ r x n G =   – v e   ( s p o n t a n e o u s ) C] If β e q u i l i b r i u m = 0.7 K p = 8 × 0.49 4 - 0.49 = 3.92 3.51 K p > 1 Since it is given that ∆ G o > 0 ⇒ K p < 1 ∴ This is incorrect D] K p = K C × R T ∆ n g K C = K p R

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