`2.5 mL` of `2/5 M` weak monoacidic base (`K_b = 1 × 10^(-12)` at `25^oC`) is titrated with ` 2/15` `M` `HCl` in water

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Q 1159001814.     `2.5 mL` of `2/5 M` weak monoacidic base (`K_b = 1 × 10^(-12)` at `25^oC`) is titrated with ` 2/15` `M` `HCl` in water at `25^oC` . The concentration of `H^+` at equivalence point is `(K_w = 1 × 10^(-14)` at `25^oC) `
JEE 2008
A

`3.2 × 10^-7 M`

B

`3.2 × 10^-2 M`

C

`3.7 × 10^-13 M`

D

`2.7 × 10^-2 M`

HINT

Use formula: `K_h = K_w/K_b`

Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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