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Calculate the pH of a 0.1 M solution of acetic acid (Ka = 1.8 x 10^-5).

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To calculate the pH of a 0.1 M solution of acetic acid, we can use the formula for the ionization constant  Ka  of a weak acid:Ka = [H+][A-] / [HA]Where [H+] is the concentration of hydrogen ions, [A-] is the concentration of the conjugate base  acetate ions , and [HA] is the concentration of the undissociated acetic acid.Since the initial concentration of acetic acid is 0.1 M, we can assume that the change in concentration due to ionization is small. Let x be the concentration of hydrogen ions and acetate ions after ionization:Ka =  x  x  /  0.1 - x Given that Ka = 1.8 x 10^-5, we can substitute this value into the equation:1.8 x 10^-5 = x^2 /  0.1 - x Since x is small compared to 0.1, we can approximate the equation as: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 hydrogen ions [H+], we can calculate the pH using the formula:pH = -log[H+]pH = -log 1.34 x 10^-3 pH  2.87Therefore, the pH of a 0.1 M solution of acetic acid is approximately 2.87.
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