Equilibrium Ques 96

96. Solution of $0.1 $ $N$ $ NH_4 OH$ and $0.1 $ $N $ $NH_4 Cl$ has $pH$ $9.25$. Then find out $p K_b$ of $NH_4 OH$

[2002]

(a) $9.25$

(b) $4.75$

(c) $3.75$

(d) $8.25$

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Answer:

Correct Answer: 96.(b)

Solution:

  1. (b) $pOH=p K_b+\log \frac{[\text{ Salt }]}{[\text{ Base }]}$

or $p K_b=pOH-\log \frac{\text{ [salt] }}{\text{ [Base] }}$

but $pOH+pH=14$ or $pOH=14-pH$

$\therefore 14-pH-\log \frac{[\text{ Salt }]}{[\text{ Base }]}=p K_b$

$14-9.25-\log \frac{0.1}{0.1}=p K_b$

$14-9.25-0=p K_b$

$p K_b=4.75$