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Question

2.5 mL of 25M weak monoacidic base (Kb=1×1012) at 25oC is titrated with 215M HCl in water at 25oC. The concentration of H+ at equivalence point is (Kw=1×1014 at 25oC)


A

3.7×1013M

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B

3.2×107M

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C

3.2×102M

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D

2.7×102M

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Solution

The correct option is D

2.7×102M


mmol of base =2.5×25=1
mmol of acid required to reach the end point = 1
Volume of acid required to reach the end point = 152mL
Total volume at the end point = 152 + 2.5 = 10 mL
Molarity of salt at the end point = 110=0.10
B+C(1α)+H2OBOHCα+H+Cα
Kh=KwKb=102
Kh=102=Cα1α=0.1α1α
10α2+α1=0
α=1+1+4020=0.27
[H+]=Cα=0.1×0.27=0.027M


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