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Question

What will be the new pH if 0.01 mol of HCl is added to a 1 L buffer solution that is 0.02 M in propionic acid (CH3CH2COOH) and 0.015 M in sodium propionate (CH3CH2COONa) ?
Dissociation constant Ka of propionic acid at 25C is 1.34×105
(Take log(1.34)=0.13)

A
4.09
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B
4.95
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C
5.15
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D
5.87
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Solution

The correct option is A 4.09
pKa=log(Ka)pKa=log(1.34×105)pKa=(50.13)=4.87
Finding initial pH of the buffer
pH for acidic buffer can be defined by :

pH=pKa+log([CH3CH2COO][CH3CH2COOH])pH=4.87+log(0.0150.02)pH=4.87+log(0.75)pH=4.870.12=4.75

Since, Volume = 1 L
Concentration = moles
[HCl]=0.01 M

On addition of acid externally, concentration of anion of salt decreases whereas concentration of acid increases by same amount.

So,
[CH3CH2COO]=0.0150.01=0.005 M[CH3CH2COOH]=0.02+0.01=0.03 M

Finding the changed pH

pHnew=pKa+log([CH3CH2COO][CH3CH2COOH])pHnew=4.87+log(0.0050.03)pHnew=4.87+log(16)pHnew=4.870.78pHnew=4.09

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