Solution of 0.1 N NH₄OH and 0.1 N NH₄Cl has pH 9.25. Then find out pK_b of NH₄OH : -

9 2002 AIPMT EquilibriumBuffer Solutions Easy
Solution of 0.1 N $NH_4OH$ and 0.1 N $NH_4Cl$ has pH 9.25. Then find out $pK_b$ of $NH_4OH$ : -
A 9.25
B 4.75
C 3.75
D 8.25

Detailed Solution

This is a basic buffer. Henderson equation: $pOH = pK_b + \log\dfrac{[salt]}{[base]}$
Here [salt] = [base] = 0.1, so $\log 1 = 0$ and $pOH = pK_b$.
$pOH = 14 - pH = 14 - 9.25 = 4.75$
So $pK_b = 4.75$.

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Practise Buffer Solutions All 9 questions This chapter in 2002 AIPMT