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JEE Advanced levelNumerical answerDifficulty 3 of 3g2105

Imidazolium has pKa = 7.0 and pyridinium has pKa = 5.2 at 298 K. Using $p K_{a} + p K_{b} = 14$ , calculate $K_{b} (imidazole) / K_{b} (pyridine)$ to the nearest integer.

Numerical answer type, tolerance 0.5.

Answer: 63

p K_{b} (imidazole) = 14 - 7.0 = 7.0

;

p K_{b} (pyridine) = 14 - 5.2 = 8.8

. Ratio

= 1 0^{8.8 - 7.0} = 1 0^{1.8} = 63.1 \approx 63

.

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