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For the equilibrium N<sub>2</sub>O<sub>4</sub>(g) <=> 2NO<sub>2</sub>(g), the total pressure at equilibrium is P and the degree of dissociation of N<sub>2</sub>O<sub>4</sub> is alpha. Which expression correctly gives Kp in terms of alpha and P?

Answer: Kp = 4 alpha 2 P / (1 - alpha 2 ).

  • A Kp = 4 alpha<sup>2</sup> P / (1 - alpha<sup>2</sup>)
  • B Kp = 2 alpha P / (1 - alpha<sup>2</sup>)
  • C Kp = alpha<sup>2</sup> P / (1 - alpha)
  • D Kp = 4 alpha P<sup>2</sup> / (1 + alpha)

Correct answer: A. Kp = 4 alpha<sup>2</sup> P / (1 - alpha<sup>2</sup>)

Explanation: For N<sub>2</sub>O<sub>4</sub> <=> 2NO<sub>2</sub> with initial 1 mole and degree of dissociation alpha, total moles become (1+alpha), and Kp works out to 4 alpha<sup>2</sup> P / (1 - alpha<sup>2</sup>) after substituting mole fractions and total pressure.

ConcentrationTimeReactantsProductsequilibrium reached

As the reaction proceeds, reactant concentration falls and product concentration rises until both level off at equilibrium.

Concept context

When forward and reverse reaction rates are equal, equilibrium is reached. Learn about Kc, Kp, Le Chatelier's principle, and acid-base equilibria, including pH, buffer solutions, and solubility product.

Read the full Equilibrium notes →