Ionic EquilibriumHard

Question

To a solution of acetic acid, solid sodium acetate is gradually added. When ‘x g’ of the salt has been added, the pH has a certain value. When total ‘y g’ of the salt has been added, the pH has been further raised by 0.6 units. What is the ratio of x: y? (log 3.98 = 0.6)

Options

A.3.98: 1
B.1: 3.98
C.2: 3.98
D.3.98: 2

Solution

$P_{2}^{H} = P_{1}^{H} + 0.6$

$P^{Ka} + \log\frac{y/M}{C} = P^{K_{a}} + \log\frac{x/M}{C} + \log 3.98 $$$\therefore\frac{y}{x} = 3.98$$

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