IMAT 2025 · Question 39

Q39 - The pH scale

The pH of an aqueous solution of a monoprotic weak acid with the constant Ka = 1.0 × 10⁻⁵ and concentration 0.001 M is: A) 8 B) 5.5 C) 10⁻⁸ D) 3 E) 4
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The correct answer is E) 4.

For a weak acid, [H⁺] ≈ √(Ka × C) = √(10⁻⁵ × 10⁻³) = √10⁻⁸ = 10⁻⁴ M.

So pH = 4.

pH 3 would be right for a strong acid at this concentration, not a weak one. Doing the exact calculation gives pH ≈ 4.02, so the shortcut works fine here.

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