Calculate the `pH` at which an acid indicator with `K_(a) = 1.0 xx 10^(-5)` changes colour when the indicator is `1.00 xx 10^(-3)M`.

Explanation

To solve the problem of calculating the pH at which an acid indicator changes color, we can follow these steps:

### Step 1: Understand the dissociation of the acid indicator
The acid indicator can be represented as:
\[ \text{HIn} \rightleftharpoons \text{H}^+ + \text{In}^- \]

Where:
- HIn is the undissociated form of the indicator.
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