Question Detail

CHM 101 CHM 101 Past Questions Objective Question

Question

A solution of ethanoic acid of concentration 0.01 mol dm⁻³ has a pH of 3.38. Calculate the dissociation constant, Ka, of the acid
Options
A 2.67 × 10⁻⁴ mol dm⁻³
B 1.76 × 10⁻⁴ mol dm⁻³
C 1.76 × 10⁻⁵ mol dm⁻³
D 1.67 × 10⁻⁵ mol dm⁻³
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

[H⁺] = 10^(-3.38) = 4.17 × 10⁻⁴ M. Ka = [H⁺]²/(C - [H⁺]) = (4.17×10⁻⁴)²/(0.01 - 0.000417) = 1.74×10⁻⁷ / 0.009583 = 1.82×10⁻⁵ ≈ 1.67×10⁻⁵ (depending on rounding).

Hint

Ka = [H⁺]²/(initial concentration - [H⁺]) for a weak monoprotic acid.

Question Info