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NEETChemistryChemical Equilibrium

For a certain gaseous reversible reaction, the unit of the equilibrium constant K_c is L ² mol ⁻² . Which of the following is the correct mathematical relationship between K_p and K_c for this reaction?

Options

  1. AK_c = K_p(RT)²
  2. BK_p = K_c(RT)²
  3. CK_p = K_c(RT)
  4. DK_p = K_c(RT)⁻¹

Correct answer

A. K_c = K_p(RT)²

Step-by-step solution

The unit of the equilibrium constant K_c is given by ( mol L ⁻¹)^ n_g . Given unit = L ² mol ⁻² = ( mol L ⁻¹)⁻² . Comparing the powers, we get n_g = -2 . The relationship between K_p and K_c is: K_p = K_c(RT)^ n_g Substituting n_g = -2 : K_p = K_c(RT)⁻² Rearranging the equation by multiplying both sides by (RT)^2 gives: K_c = K_p(RT)² Answer: K_c = K_p(RT)²

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