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Q.

Van’t Hoff ’s factor for 0.01M aqueous solution of acetic acid is 1.04, the pH of that solution is

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a

3.4

b

9.6

c

6.4

d

10.6

answer is A.

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Detailed Solution

Molarity of CH3COOH=0.01M

Normality of CH3COOH=(0.01)1=0.01N

Van'thoff factor , i = 1.04

PH = ?

\large CH_3COOH \rightleftharpoons CH_3COO^-+H^+

   n=2

i=1-\large \alpha+n\large \alpha

i = 1+\large \alpha

1.04 = 1+\large \alpha

\large \alpha = 0.04

For weak acids , [H+] = c\large \alpha

[H+] =  (0.01)(0.04)

[H+] = 4X10-4

PH = - log [H+] = -log(4X10-4)= 4-log4

        = 4-2 log2 = 4-2(0.3010)

         =3.398\large \approx 3.4

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