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NCERT Class XI Chemistry Equilibrium Solutions

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Question : 62 of 73
Marks: +1, -0
A 0.02 M solution of pyridinium hydrochloride has pH = 3.44. Calculate the ionization constant of pyridine.
Solution:  
Pyridinium hydrochloride is a salt of weak base and strong acid.
Therefore, pH = 7 − 12\frac{1}{2} (log X + pKb\mathrm{p}K_{\mathrm{b}})
where Kb\mathrm{K}_{\mathrm{b}} = dissociation constant of pyridine
3.44 = 7 - 12\frac{1}{2} (log 0.02 + pKb\mathrm{p}K_{\mathrm{b}})
- 3.56 = −12(−1.70+pKb)-\frac{1}{2}(-1.70+\mathrm{p}K_{\mathrm{b}}) ⇒ - 7.12 = 1.0 - pKb\mathrm{p}K_{\mathrm{b}}
pKb\mathrm{p}K_{\mathrm{b}} = 1.70 + 7.12 = 8.82,
Kb\mathrm{K}_{\mathrm{b}} = antilog (– 8.82) = 1.513 × 10−910^{-9}
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