Can u please elaborate from where this formula comes in solution and how they put it

Q. What is the pH at equivalence point in the titration of 0.1 MCH3COOH and 0.1 M NaOH?
         (Ka for acetic acid is 1.8 × 10–5)

     (a) 7

     (b) Between 7 and 8
 
     (c) Between 8 and 9

     (d) Between 6 and 7

sol . ( c )       For   weak   acid   and   strong   base ,                                     pH   =   7   + 1 2 pK a + 1 2 logC                                                 =   7   + 4 . 74 2 + 1 2 log   10 - 1                                                 =   8 . 87  
 

Dear Student,


 pH = 7 +12pKa+12 logC , is the formula for finding pH for weak acid and strong base :The derivation of the formula shown below:- 

Now ,
Given  Here, ​ 0.1 M CH3COOH and 0.1 M NaOH
​Remember
(or it will be provide in the question), pKa for CH3COOH is 4.74 and concentraion = 0.1M
Hence,
pH = 7 +12pKa+12 logC         = 7 + 12x 4.74 + 12 log(0.1)        = 7 + 1 2 x 4.74 + 12 log 10-1         =8.87



Hope your all doubts clear !

Regards,

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