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Calculate the equilibrium constant (K$\textsubscript{a}$) for the reaction of acetic acid in aqueous solution if the pH of the solution is 4.76 and the concentration of acetic acid is 0.1 M.

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To calculate the equilibrium constant  K  for the reaction of acetic acid in aqueous solution, we first need to find the concentration of hydrogen ions [H] and acetate ions [CHCOO] at equilibrium. The reaction of acetic acid  CHCOOH  in water can be represented as:CHCOOH + HO  CHCOO + HOGiven the pH of the solution is 4.76, we can calculate the concentration of hydrogen ions [H] using the formula:pH = -log[H]4.76 = -log[H][H] = 10^-4.76   1.74 x 10^-5  MSince acetic acid is a weak acid, we can assume that the concentration of hydrogen ions [H] is equal to the concentration of acetate ions [CHCOO] at equilibrium. Therefore:[CHCOO] = [H]  1.74 x 10^-5  MNow, we can use the initial concentration of acetic acid  0.1 M  to find the concentration of acetic acid at equilibrium:[CHCOOH] = Initial concentration - [CHCOO] = 0.1 - 1.74 x 10^-5   0.1 MFinally, we can calculate the equilibrium constant  K  using the formula:K = [CHCOO][H] / [CHCOOH]K =  1.74 x 10^-5   1.74 x 10^-5   / 0.1  3.0 x 10^-5 The equilibrium constant  K  for the reaction of acetic acid in aqueous solution is approximately 3.0 x 10^-5 .

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