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Question

A weak base BOH is titrated with a strong acid HA. When 10 ml of HA is added, pH is found to be 9.00 and when 25 ml is added, pH is 8.00. The volume of the acid required to reach the equivalence point is

A
35 mL
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B
40 mL
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C
30 mL
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D
50 mL
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Solution

The correct option is B 30 mL
BOH + HA (buffer)
weak strong
PH=14PKblog[B+][BOH]
x millimoles of base
y be concentration of acid
9=14PKblog10×yx10y(1)
8=14PKblog25yx25y(2)
(1) (2)
1=log(25yx25y×x10y10y)
10=(2510)x10yx25y
4=x10yx25y
4x100y=x10y
3x=90y
x=30y
30y 30ml of acid with y molarity.

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