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0.25 mol of formic acid H C O 2 H is dissolved in enough water to make one litre of solution. The pH of that solution is 2.19. The K a of formic acid is

Options

  1. A6.5 × 1 0 - 3
  2. B4.3 × 1 0 - 4
  3. C1.7 × 1 0 - 4
  4. D5.3 × 1 0 - 2

Correct answer

C. 1.7 × 1 0 - 4

Step-by-step solution

pH = 2.19 = - log ⁡ [ H + ] H + = 1 0 - 2.19 = Antilog - 2.19 = 6.46 × 1 0 - 3 M K a H C O O H = H + H C O O - H C O O H Here H + = H C O O - = 6.46 × 1 0 - 3 M H C O O H = 0.25 mol/1L = 0.25 M and K a H C O O H = ? So K a ( H C O O H ) = ( 6.46 × 1 0 - 3 ) 0.25 2 = 1.7 × 1 0 - 4 .

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