Given the following reactions and associated equilibrium constants, select the correct…

Chemistry · JEE Advanced · NTA ExamsEquilibrium

Given the following reactions and associated equilibrium constants, select the correct expression for the third equilibrium constant in terms of the first two.
  1. \(\mathrm{K}_{\mathrm{c}_{3}}=\frac{\mathrm{K}_{\mathrm{c}_{1}}}{\mathrm{~K}_{\mathrm{c}_{2}}}\)
  2. \[\mathrm{K}_{\mathrm{c}_{3}}=\frac{\left(\mathrm{K}_{\mathrm{c}_{1}}\right)^{1 / 2}}{\mathrm{~K}_{\mathrm{c}_{2}}}\]
  3. \(\mathrm{K}_{\mathrm{o}_{3}}=\mathrm{K}_{\mathrm{o}_{1}} \times\left(\mathrm{K}_{\mathrm{o}_{2}}\right)^{1 / 2}\)
  4. \(\mathrm{K}_{\mathrm{c}_{3}}=\left(\mathrm{K}_{\mathrm{c}_{1}}\right)^{1 / 2} \times\left(\mathrm{K}_{\mathrm{c}_{2}}\right)^{1 / 2}\)

Answer

(B) K _ c _ 3 = ( K _ c _ 1 )^ 1 / 2 ~K _ c _ 2

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