A solution of 100 mL, 0.2 M CH 3 COOH is mixed with 100 mL, 0.2 M NaOH solution. The molar conductance for 0.1 M CH 3 COOH at infinite dilution is 200 S cm 2 mol –1 and at any concentration is 2.0 S cm 2 mol –1 . Then calculate pH of the solution?
Text Solution
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CH 3 COOH + NaOH 
CH 3 COONa + H 2 O
milli moles 100×0.2 100×0.2 – –
0 0 100×0.2
Then,
[CH 3 COONa] = 
× 1000 = 0.1
D.O.D ( α ) for CH 3 COOH = 
= 
= 10 –2
Then,
K a of CH 3 COOH = C α 2 = 0.1 × (10 –2 ) 2 = 10 –5 ⇒ pKa = 5 for CH 3 COOH.
So, pH of CH 3 COONa salt is :
pH = 7 + 
pKa + 
logC.
= 7 + 
× 5 + 
log0.1 = 9.
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