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NEETChemistryChemical Equilibrium

For a certain reversible chemical reaction, the equilibrium constants K_c and K_p are related as K_c K_p = ( RT )^2 . Which of the following reactions satisfies this condition?

Options

  1. A2 NH _ 3( g ) N _ 2( g ) + 3 H _ 2( g )
  2. BN _ 2( g ) + 3 H _ 2( g ) 2 NH _ 3( g )
  3. CPCl _ 5( g ) PCl _ 3( g ) + Cl _ 2( g )
  4. DH _ 2( g ) + I _ 2( g ) 2 HI _ ( g )

Correct answer

B. N _ 2( g ) + 3 H _ 2( g ) 2 NH _ 3( g )

Step-by-step solution

The relationship between K_p and K_c is given by: K_p = K_c( RT )^ n_g Rearranging the given condition K_c K_p = ( RT )^2 , we get: K_p K_c = ( RT )⁻² Comparing this with the standard equation, we find n_g = -2 . Let us calculate n_g (moles of gaseous products - moles of gaseous reactants) for the given options: 1) 2 NH _ 3( g ) N _ 2( g ) + 3 H _ 2( g ) : n_g = (1 + 3) - 2 = +2 2) N _ 2( g ) + 3 H _ 2( g ) 2 NH _ 3( g ) : n_g = 2 - (1 + 3) = -2 3) PCl _ 5( g ) PCl _ 3( g ) + Cl _ 2( g ) : n_g = (1 + 1) - 1 = +1 4)

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