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What is the pH of a 0.1 M solution of acetic acid (CH3COOH) at 25°C?

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To calculate the pH of a 0.1 M solution of acetic acid  CH3COOH , we need to know the acid dissociation constant  Ka  for acetic acid. The Ka for acetic acid at 25C is 1.8 x 10^-5.The dissociation of acetic acid in water can be represented by the following equilibrium equation:CH3COOH  aq   CH3COO-  aq  + H+  aq We can set up an equilibrium expression using the Ka value:Ka = [CH3COO-][H+]/[CH3COOH]Let x represent the concentration of H+ ions and CH3COO- ions at equilibrium. Since the initial concentration of acetic acid is 0.1 M, the equilibrium concentrations can be represented as:[CH3COOH] = 0.1 - x[CH3COO-] = x[H+] = xNow, we can substitute these values into the Ka expression:1.8 x 10^-5 =  x  x / 0.1 - x Since Ka is very small, we can assume that x is much smaller than 0.1, so we can simplify the equation:1.8 x 10^-5  x^2/0.1Now, we can solve for x:x^2 = 1.8 x 10^-5 * 0.1x^2 = 1.8 x 10^-6x =  1.8 x 10^-6 x  1.34 x 10^-3Now that we have the concentration of H+ ions  x , we can calculate the pH:pH = -log[H+]pH = -log 1.34 x 10^-3 pH  2.87The pH of a 0.1 M solution of acetic acid at 25C is approximately 2.87.
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