The base imidazole has a `K_(b)` of `8.1 xx 10^(-8)`.
a. In what amounts should `0.02 M HCI` and `0.02M` imidazole be mixted to make `100mL` of a buffer at `pH 7`?
b. If the resulting solution is diluted to `1L`, what is the `pH` of the diluted solution?

Explanation

To solve the problem step by step, we will break it down into two parts as given in the question.

### Part (a): Preparing the Buffer Solution

1. **Identify the Given Values:**
- \( K_b \) of imidazole = \( 8.1 \times 10^{-8} \)
- Desired pH = 7
- Total volume of buffer = 100 mL
...