In an aqueous solution of a certain acid with pka = 3.75 the ph is 2.82 . calculate the percent of the acid that is dissociated in this solution. round your answer to significant digits.

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The percent of the acid that is dissociated in the solution is  ≈ 11.75%

Given data :

pKa of aqueous solution of acid = 3.75

pH of aqueous solution of acid = 2.82

Calculate the percentage of the acid dissociated in the solution

( % ) of acid dissociated = [tex]\frac{Ka}{[H^{+}] }[/tex]

where : Ka = [tex]10^{-3.7}[/tex]

            [ H ]⁺ = [tex]10^{-2.82}[/tex]

∴ The percent of acid dissociated = [tex]\frac{10^{-3.7} }{10^{-2.82} }[/tex]  = 0.11749

                                                                       ≈ 11.75%

Hence the percent of acid that is dissociated in this solution is 11.75%

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