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Calculate the pH of a solution containing 0.1 M HCO3^- and 0.2 M CO3^2-

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Calculate the pH of a solution containing 0.1 M HCO3- and 0.2 M CO32-

[K1 (H2CO3) = 4.2 × 10-7 × 10 and K2(HCO3-) = 4.8 × 10-11].

(a) 3.18

(b) 10.62

(c) 6.62

(d) 9.31

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Correct answer: (b) 10.62

Explanation:

HCO3- → H+ + CO32-

K2 = \(\frac{[H^+][CO_3^{2-}]}{[HCO_3^-]}\)

= 4.8 × 10-11

[H+] = \(\frac{4.8 \times 10^{-11}[HCO_3^-]}{[CO_3^{2-}]}\)

= 4.8 × 10-11(\(\frac{0.1}{0.2}\))

pH = -log[H+]

= -log(4.8 × 10-11 x 0.5) = 10.62

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