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4 g of NaOH were dissolved in 1 litre of a solution containing 1 mole of CH3COOH and 1 mole of CH3COONa. The [H+] in the resultant solution is

(Given: Ka (CH3COOH) = 1.1×10-5)

  • A.\(1.47 \times 10^{-5}M\)
  • B.\(2 \times 10^{-5}M\)
  • C.\(2.5 \times 10^{-5}M\)
  • D.\(1.5 \times 10^{-5}M\)
  • E.\(0.9 \times 10^{-5}M\)

Answer: E

The hydrogen ion concentration is \(0.9 \times 10^{-5}\) M.

4 g of NaOH is 0.1 mol. It neutralises 0.1 mol of the acetic acid, forming 0.1 mol more acetate, so the buffer now holds 0.9 mol acid and 1.1 mol salt in 1 L. For an acidic buffer:

\[ \begin{aligned} [\mathrm{H^{+}}] &= K_{a} \times \frac{[\text{acid}]}{[\text{salt}]} \\ &= 1.1 \times 10^{-5} \times \frac{0.9}{1.1} = 0.9 \times 10^{-5}\ \text{M} \end{aligned} \]

The added base lowers \([\mathrm{H^{+}}]\) only slightly from \(1.1 \times 10^{-5}\) M, which is the buffer action. Every other option is above \(1.1 \times 10^{-5}\) M, which would mean adding a base made the solution more acidic.

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