Respuesta :

Answer : The hydroxide ion concentration of a solution is, [tex]5\times 10^{-14}[/tex]

Explanation :

As we know that [tex]HCO_3^-[/tex] dissociates in water to give hydrogen ion [tex](H^+)[/tex] and carbonate ion [tex](CO_3^{2-})[/tex].

As, 1 mole of [tex]HCO_3^-[/tex] dissociates to give 1 mole of hydrogen ion [tex](H^+)[/tex]

Or, 1 M of [tex]HCO_3^-[/tex] dissociates to give 1 M of hydrogen ion [tex](H^+)[/tex]

So, 0.200 M of [tex]HCO_3^-[/tex] dissociates to give 0.200 M of hydrogen ion [tex](H^+)[/tex]

Now we have to calculate the hydroxide ion concentration.

As we know that:

[tex][H^+][OH^-]=1\times 10^{-14}[/tex]

[tex]0.200\times [OH^-]=1\times 10^{-14}[/tex]

[tex][OH^-]=5\times 10^{-14}[/tex]

Therefore, the hydroxide ion concentration of a solution is, [tex]5\times 10^{-14}[/tex]

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