ILLUSTRATIVE EXAMPLE:
Give the answers of
following questions when 20 ml of acetic acid (CH3COOH)
is titrated with 0.10 M NaOH the (Given that Ka=2×10-5).
(A) Write out the reactions
and equilibrium expression associated with Ka.
(B) Calculate the PH when:
(1) 20 ml of 0.10M CH3COOH + 0.0 ml of 0.10M NaOH 
(2) 20 ml of 0.10M CH3COOH + 5.0 ml of 0.10M NaOH
(3) 20 ml of 0.10M CH3COOH + 10 ml of 0.10M NaOH
(4) 20 ml of 0.10M CH3COOH + 15 ml of 0.10M NaOH
(5) 20 ml of 0.10M CH3COOH + 19 ml of 0.10M NaOH
(6) 20 ml of 0.10M CH3COOH + 20 ml of 0.10M NaOH
(7) 20 ml of 0.10M CH3COOH + 21 ml of 0.10M NaOH
(8) 20 ml of 0.10M CH3COOH + 25 ml of 0.10M NaOH
(9) 20 ml of 0.10M CH3COOH + 20 ml of 0.10M NaOH
SOLUTION:
(A) Write out the reactions and equilibrium expression associated with Ka.
(B) Calculate the PH when:
| 
   
S.N. 
 | 
  
   
Given
  condition 
 | 
  
   
comments 
 | 
  
   
PH 
 | 
 
| 
   
1 
 | 
  
   
20 ml of 0.10M CH3COOH
  + 0.0
  ml of 0.10 ml NaOH  
 | 
  
   
WA, PH=1/2(Pka-logC) 
 | 
  
   
2.85 
 | 
 
| 
   
2 
 | 
  
   
20 ml of 0.10M CH3COOH
  + 5.0
  ml of 0.10 ml NaOH  
 | 
  
   
ABS,
  PH=PKa+ log[S]\[A] 
 | 
  
   
4.22 
 | 
 
| 
   
3 
 | 
  
   
20 ml of 0.10M CH3COOH + 10 ml of 0.10 ml NaOH  
 | 
  
   
BB , PH=PKa 
Half of equivalent point 
 | 
  
   
4.70 
 | 
 
| 
   
4 
 | 
  
   
20 ml of 0.10M CH3COOH
  + 15
  ml of 0.10 ml NaOH  
 | 
  
   
ABS,
  PH=PKa+ log[S]\[A] 
 | 
  
   
5.17 
 | 
 
| 
   
5 
 | 
  
   
20 ml of 0.10M CH3COOH
  + 19
  ml of 0.10 ml NaOH  
 | 
  
   
ABS,
  PH=PKa+ log[S]\[A] 
 | 
  
   
5.98 
 | 
 
| 
   
6 
 | 
  
   
20 ml of 0.10M CH3COOH + 20 ml of 0.10 ml NaOH  
 | 
  
   
SH, PH=7+
  1/2(Pka-logC) 
Equivalent point 
 | 
  
   
8.7 
 | 
 
| 
   
7 
 | 
  
   
20 ml of 0.10M CH3COOH
  + 21
  ml of 0.10 ml NaOH  
 | 
  
   
Strong
  Base 
 | 
  
   
11.39 
 | 
 
| 
   
8 
 | 
  
   
20 ml of 0.10M CH3COOH
  + 25
  ml of 0.10 ml NaOH  
 | 
  
   
Strong
  Base 
 | 
  
   
12.04 
 | 
 
| 
   
9 
 | 
  
   
20 ml of 0.10M CH3COOH
  + 30
  ml of 0.10 ml NaOH  
 | 
  
   
Strong
  Base 
 | 
  
   
12.30 
 | 
 
(C) Sketch the titration
curve for this titration.
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