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Accumulation of lactic acid (HC3H5O3), a monobasic acid in tissues leads to pain and a feeling of fatigue. In a 0.10 M aqueous solution, lactic acid is 3.7% dissociated. The value of dissociation constant, Ka, for this acid will be:

1. 2.8 × 10⁻⁴
2. 1.4 × 10⁻⁵
3. 3.7 × 10⁻⁴
4. 1.4 × 10⁻⁴

Correct answer: 2.8 × 10⁻⁴

Solution

The degree of dissociation (α) is 3.7% or 0.037. Using the formula Ka = Cα², where C = 0.10 M, we calculate Ka = (0.10)(0.037)² = 2.8 × 10⁻⁴.

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