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What is the pH of a 0.1 M solution of acetic acid?

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To calculate the pH of a 0.1 M solution of acetic acid  CH3COOH , we need to determine the concentration of hydrogen ions  H+  in the solution. Acetic acid is a weak acid, so it does not fully dissociate in water. Instead, it establishes an equilibrium with its conjugate base, the acetate ion  CH3COO- , and H+ ions:CH3COOH  aq   CH3COO-  aq  + H+  aq To determine the concentration of H+ ions, we can use the acid dissociation constant  Ka  for acetic acid. The Ka value for acetic acid is 1.8 x 10^-5. The Ka expression for this equilibrium is:Ka = [CH3COO-][H+] / [CH3COOH]Since the initial concentration of acetic acid is 0.1 M, we can set up an ICE  Initial, Change, Equilibrium  table to find the equilibrium concentrations of all species:          CH3COOH    CH3COO-  +  H+Initial:   0.1 M        0 M         0 MChange:   -x           +x          +xEquilibrium: 0.1-x M     x M         x MNow, we can plug these equilibrium concentrations into the Ka expression:1.8 x 10^-5 =  x  x  /  0.1 - x To simplify the calculation, we can assume that x is much smaller than 0.1, so 0.1 - x  0.1:1.8 x 10^-5 = x^2 / 0.1Now, solve for x  the concentration of H+ ions :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^-3 MNow that we have the concentration of H+ ions, we can calculate the pH using the pH formula:pH = -log10[H+]pH = -log10 1.34 x 10^-3 pH  2.87So, the pH of a 0.1 M solution of acetic acid is approximately 2.87.
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