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Question: Answered & Verified by Expert
Ka for HCN is 5 x 10 - 10 at 25o C. For maintaining a constant pH of 9, the volume of 5 M KCN solution required to be added to 10 mL of 2 M HCN solution is:
ChemistryIonic EquilibriumJEE Main
Options:
  • A 4 mL
  • B 7.95 mL
  • C 9.3 mL
  • D 2 mL
Solution:
2494 Upvotes Verified Answer
The correct answer is: 2 mL
On mixing the given solutions, acidic buffer will be formed. Thus applying Henderson equation to find the pH-

pH = pKa + log10 [CN-][HCN]

pH = - log  5 × 1 0 - 1 0 + log  5 × V / V + 1 0 1 0 × 2 / V + 1 0

9 = - log  5 × 1 0 - 1 0 + log  V 4

9 = 1 0 - 0 . 7 + log  V 4

- 0 . 3 = log  V 4

   log V 4 = - 0 . 3 = log 1 2

             V 4 = 1 2

    V = 2 mL.

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