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NEET CHEMISTRYMedium

The percentage of pyridine (C5H5NC_5H_5N) that forms pyridinium ion (C5H5NH+C_5H_5NH^+) in a 0.10 M aqueous pyridine solution (KbK_b for C5H5N=1.7×109C_5H_5N = 1.7 \times 10^{-9}) is:

A

0.0060 %

B

0.013 %

C

0.77 %

D

1.6 %

Step-by-Step Solution

The ionization of pyridine in water can be represented by the equation: C5H5N+H2OC5H5NH++OHC_5H_5N + H_2O \rightleftharpoons C_5H_5NH^+ + OH^- The base ionization constant (KbK_b) is given by the relation Kb=cα2K_b = c\alpha^2 (assuming the degree of ionization α1\alpha \ll 1), where cc is the initial concentration of the base. α=Kbc=1.7×1090.10=1.7×1081.30×104\alpha = \sqrt{\frac{K_b}{c}} = \sqrt{\frac{1.7 \times 10^{-9}}{0.10}} = \sqrt{1.7 \times 10^{-8}} \approx 1.30 \times 10^{-4} The percentage of pyridine that forms pyridinium ion is the percentage ionization: Percentage ionization = α×100=1.30×104×100=1.30×102=0.013%\alpha \times 100 = 1.30 \times 10^{-4} \times 100 = 1.30 \times 10^{-2} = 0.013\%.

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