What is the `pH` of `7.0 xx 10^(-8)M` acetic acid. What is the concentration of un-ionsed acetic acid. `K_(a)` of `CH_(3)COOH = 1.8 xx 10^(-5)`.

Explanation

To solve the problem, we need to find the pH of a 7.0 x 10^(-8) M acetic acid solution and the concentration of un-ionized acetic acid. Given that the dissociation constant (K_a) of acetic acid (CH₃COOH) is 1.8 x 10^(-5), we can follow these steps:

### Step 1: Understand the Ionization of Acetic Acid
Acetic acid (CH₃COOH) is a weak acid that partially ionizes in water:
\[ \text{CH}_3\text{COOH} \rightleftharpoons \text{CH}_3\text{COO}^- + \text{H}_3\text{O}^+ \]

### Step 2: Set Up the Initial Concentration
The initial concentration of acetic acid is given as:
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