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JEE Main 20172 April

Exam: JEE Main
Year: 2017
Date: 2 April
Subject: Chemistry
Chapter: Ionic Equilibrium

JEE Main 2017 · 2 April · Chemistry · Ionic Equilibrium

pK _ a of a weak acid (HA) and pK _ b of a weak base (BOH) are 3.2...

{\text{pK}}_{a}

of a weak acid \left(\text{HA}\right) and {\text{pK}}_{b}

of a weak base \left(\text{BOH}\right)

are

3.2 and 3.4

respectively. The

\text{pH}

of their salt

\left(\text{AB}\right)

solution at

{\text{25}}^{o} \text{C}

is

Options

A $6.9$
B $7.0$
C $1.0$
D $7.2$

Correct answer

A. $6.9$

Step-by-step solution

Hydrolysis of salt of weak acid and weak base

\text{pH} = \dfrac{1}{2} \left({\text{pK}}_{\text{w}} + {\text{pK}}_{\text{a}} - {\text{pK}}_{\text{b}}\right)

= \dfrac{1}{2}\left(14 + 3.2 - 3.4\right)

= 6.9

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