The base inidazole has a `K_b" of "9.8 xx 10^(-8)" at "25^@C`.
(a) In what amounts should 0.02M HCl and 0.02 M indiazole be mixed to make 100mL of a buffer at pH 7?
(b) If the resulting buffer is diluted to one find pH of the diluted buffer.

Explanation

To solve the problem step by step, we will break it down into parts (a) and (b) as per the question.

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

1. **Determine pKa from Kb**:
- Given \( K_b = 9.8 \times 10^{-8} \).
- Calculate \( pK_b \):
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