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What is the equilibrium constant expression for the ionization of acetic acid, CH3COOH, in water and calculate the equilibrium constant (Ka) at 25°C if the pH of a 0.1 M acetic acid solution is 4.90?

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The ionization of acetic acid  CH3COOH  in water can be represented by the following chemical equation:CH3COOH  aq  + H2O  l   CH3COO-  aq  + H3O+  aq The equilibrium constant expression for this reaction is given by:Ka = [CH3COO-][H3O+] / [CH3COOH]Given that the pH of a 0.1 M acetic acid solution is 4.90, we can determine the concentration of H3O+ ions:pH = -log[H3O+]4.90 = -log[H3O+]Solving for [H3O+]:[H3O+] = 10^-4.90   1.26 x 10^-5  MSince the ionization of acetic acid produces equal amounts of CH3COO- and H3O+ ions, the concentration of CH3COO- ions is also 1.26 x 10^-5  M.Now, we can determine the concentration of CH3COOH at equilibrium. Initially, we had a 0.1 M solution of acetic acid. After ionization, the concentration of CH3COOH decreases by the amount of H3O+ ions formed:[CH3COOH] = 0.1 M - 1.26 x 10^-5  M  0.1 MNow we can plug these concentrations into the Ka expression:Ka = [ 1.26 x 10^-5    1.26 x 10^-5  ] / [0.1]Ka  1.58 x 10^-10 The equilibrium constant  Ka  for the ionization of acetic acid in water at 25C is approximately 1.58 x 10^-10 .

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