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The dissociation constants of a weak acid HA and weak base BOH are 2 × 10^-5 and 5 × 10^-6 respectively. The equilibrium constant for the neutralisation reaction of the two is

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The dissociation constants of a weak acid HA and weak base BOH are 2 × 10-5 and 5 × 10-6 respectively. The equilibrium constant for the neutralisation reaction of the two is

(a) 1.0 × 104

(b) 1.0 × 10-4

(c) 1.0 × 10-10

(d) 2.5 × 10-1

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Correct answer: (a) 1.0 × 104

Explanation:

HA + BOH ⇌ BA + H2O

∴ KH = \(\frac{K_w}{K_a \times K_b}\)

The inverse of KH is Kc = \(\frac{K_a \times K_b}{K_w}\)

= \(\frac{2 \times 10^{-5} \times 5 \times 10^{-6}}{1 \times 10^{-14}}\)

= 1.0 × 104

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