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NEETChemistryIonic Equilibrium

Which of the following mixtures will result in a buffer solution with maximum buffer capacity?

Options

  1. A30 mL of 0.2 M HCOOH + 30 mL of 0.2 M KOH
  2. B20 mL of 0.2 M HCOOH + 40 mL of 0.2 M KOH
  3. C40 mL of 0.2 M HCOOH + 20 mL of 0.2 M KOH
  4. D50 mL of 0.2 M HCOOH + 10 mL of 0.2 M KOH

Correct answer

C. 40 mL of 0.2 M HCOOH + 20 mL of 0.2 M KOH

Step-by-step solution

A buffer solution has maximum buffer capacity when the concentration of the weak acid equals the concentration of its conjugate base (i.e., pH = p K_a ). This requires neutralizing exactly half of the weak acid. Let us calculate the millimoles (mmol) for the mixture in option 3: Initial mmol of HCOOH = 40 mL 0.2 M = 8 mmol Initial mmol of KOH = 20 mL 0.2 M = 4 mmol The neutralization reaction is: HCOOH + KOH HCOOK + H ₂ O Since KOH is the limiting reagent, 4 mmol of KOH will react with 4 mmol of HCOOH to form 4 mmo

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