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What is the hydroxide-ion concentration in a 0.22 M solution of Na2CO3? For carbonic acid, Ka1...

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What is the hydroxide-ion concentration in a 0.22 M solution ofNa2CO3? For carbonic acid, Ka1 = 4.2 ï‚´ 10â€“7 and Ka2 = 4.8 ï‚´10â€“11

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CO3^2- + H2O --------> HCO3^- + OH^-

Â Â Â Â Â Â I Â Â Â Â Â Â Â Â Â Â Â Â Â Â 0.22Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 0Â Â Â Â Â Â Â Â Â Â Â Â 0

Â Â Â Â Â CÂ Â Â Â Â Â Â Â Â Â Â Â Â Â -xÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â +xÂ Â Â Â Â Â Â Â Â Â Â +x

Â Â Â Â Â EÂ Â Â Â Â Â Â Â Â Â Â Â Â 0.22-xÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â +xÂ Â Â Â Â Â Â Â Â Â Â Â +x

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â KbÂ Â Â = Kw/Ka2

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 1*10^-14/4.8*10^-11

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 2.1*10^-4

^{Â Â Â Â Â Â Â Â Â Â Â Â Â Â} KbÂ Â Â = [HCO3^-][OH-]/[CO3^2-]

Â Â 2.1*10^-4 Â Â Â Â = x*x/0.22-x

Â Â Â Â Â Â Â 2.1*10^-4 *(0.22-x) = x²

Â Â Â Â Â Â Â Â Â Â Â Â xÂ Â = 0.0067

Â Â Â Â [OH-] = x = 0.0067M

Â Â Â Â

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