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NEETChemistryChemical Equilibrium

For the equilibrium reaction 2 NO ₂( g ) N ₂ O ₄( g ) , the equilibrium constant K_ c is 4.0 10³ at a certain temperature. If the equilibrium concentration of N ₂ O ₄ is 0.1 M , what is the equilibrium concentration of NO ₂ ?

Options

  1. A5.0 10⁻³ M
  2. B2.5 10⁻⁵ M
  3. C20 M
  4. D400 M

Correct answer

A. 5.0 10⁻³ M

Step-by-step solution

The equilibrium constant expression for the given reaction is: K_ c = [ N ₂ O ₄] [ NO ₂]² Substitute the given values into the expression: 4.0 10³ = 0.1 [ NO ₂]² Rearrange to solve for [ NO ₂]² : [ NO ₂]² = 0.1 4.0 10³ = 1 40000 = 25 10⁻⁶ Taking the square root of both sides gives the concentration of NO ₂ : [ NO ₂] = 5.0 10⁻³ M Common mistakes: - Forgetting to take the square root leads to 2.5 10⁻⁵ M . - Inverting the K_ c expression leads to 20 M or 400 M . Answer: 5.0 10⁻³ M

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