Q28 / 102 · NTA Abhyas (JEE Main) 2020 · Chemistry · Ionic Equilibrium

Ka for HCN is 5×10-10 at 25°C . For maintaining a constant pH of 9, the volume in ml of 5 M KCN solution required to be added to 10 ml of 2 M HCN solution is

Correct answer: 2.00

Solution

Suppose, volume of KCN added = x ml
Total volume of solution after mixing = (10 + x) ml
Molarity of HCN in the final solution
=M1V1V2=2×10(10+x)=20(10+x)M
Molarity of HCN in the final solution
=M1V1V2=5×x(10+x)=5x(10+x)M
pH =-log⁡ka+log⁡[KCN][HCN]
9 = −log  (5×10 −10 ) + log  5x 10 + x 20 10 + x
On solving, x = 2 mL

Hence, the correct answer is 2.00.

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