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Ch.16 - Acids and Bases
Chapter 16, Problem 7

A 0.115 M solution of a weak acid (HA) has a pH of 3.29. Calculate the acid ionization constant (Ka) for the acid.

Verified step by step guidance
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<Step 1: Understand the problem. We are given the concentration of a weak acid (HA) and the pH of the solution. We need to find the acid ionization constant (K_a).>
<Step 2: Convert the pH to the concentration of hydrogen ions [H^+]. Use the formula: [H^+] = 10^{-pH}.>
<Step 3: Write the expression for the ionization of the weak acid: HA \rightleftharpoons H^+ + A^-.>
<Step 4: Set up the expression for the acid ionization constant (K_a): K_a = \frac{[H^+][A^-]}{[HA]}.>
<Step 5: Assume that [H^+] = [A^-] and that the initial concentration of HA decreases by [H^+]. Substitute these values into the K_a expression and solve for K_a.>