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Question

Calculate the H+ ion concentration in 0.10 M acetic acid solution. Given that the dissociation constant of acetic acid in water is 1.8 x 10^-5 . Answer is 4.24 x 10^- 4 M

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Solution

CH3COOH CH3COO- + H+The dissociation constant, Ka = α2C1-αsince α is the dissociation constant. Since the acid is a weak acid,Ka=α2Cα2 = KaCα = KaC =1.8 × 10-50.1 =1.3416 × 10-2 [H+] = αC = 1.3416 ×10-2 × 0.1 =1.3416 × 10-3pH = - log[H+] = - log 1.3416 × 10-3 =3 log 10 - log 1.3416 = 3 - 0.1276 = 2.8724
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