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Question

50 ml of a weak monoprotic acid was titrated with 0.1 M NaOH solution. If the pH of solution after adding 50 ml and 75 ml of base is 4.699 and 5 then initial concentration of weak acid was:
(take log 2 = 0.301)

A
0.1 M
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B
0.2 M
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C
0.3 M
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D
0.4 M
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Solution

The correct option is C 0.3 M
We know,
WA+NaOHSalt +H2O
where, WA = weak acid
The final pH is below 7, hence acidic buffer will form.
Thus,
pH=pKa+log[salt][acid]
(pH)1=pKa+log0.1×50C×500.1×50 ....(1);
Since monoprotic acid, we can take the volume of the acid also be 50 mL
(pH)2=pKa+log0.1×75C×500.1×75 ....(2)

Now, (2)-(1) and taking antilog,
2=32(C×505C×507.5)
C=0.3 M

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