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Question

A 30 mL solution of 0.2 M NH4OH is titrated with 0.2 M HCl. Find the pH of the solution when 10 mL of HCl has been added.
Given pKb(NH4OH)=4.74


A
4.44
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B
9.56
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C
5.44
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D
8.56
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Solution

The correct option is B 9.56
mmol of NH4OH=30×0.2=6
mmol of HCl=10×0.2=2

NH4OH (aq)+HCl (aq)NH4Cl (aq)+H2O (l)Initial: 6 2 0 0Final: 4 0 2 2

After titration, NH4Cl and NH4OH is there which constitutes a basic buffer.
Final concentration=Moles Total Volume
Total Volume =30+10=40 mL
[NH4OH]final=440 M
[NH4Cl]final=[NH+4]final=240 M
For a basic buffer,
pOH=pKb+log([NH+4][NH4OH])pOH=4.74+log240440pOH=4.74+log(12)=4.740.3pOH=4.44pH=144.44=9.56

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