calculate the pH of 0.25M solution of propanoic acid
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Let propanoic acid be represented by HA, a weak acid. The dissociation of a weak acid is given by
HA ==> H+ + A- and
Ka = [H+][A-]/[HA]
1.34x10-5 = [x][x]/0.25 -x (note: assuming x is small relative to 0.25, we can neglect it and avoid using a quadratic)
1.34x10-5 = x2/0.25
x2 = 3.35x10-6
x = 1.83x10-3 M = [H+] = [A-] (note: this value is indeed small compared to 0.25 so assumption was valid)
pH = -log [H+] = -log 1.83x10-3 = 2.74
% dissociation = [H+]/[HA] (x100%) = 1.83x10-3/0.25 (x100%) = 0.73% dissociated
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