Calculate the pH of 0.10 M solution of `NH_4CI` . The dissociation constant `(K_b) "of" NH_3 "is" 1.8 xx 10^(-5)` .

Explanation

To calculate the pH of a 0.10 M solution of ammonium chloride (NH₄Cl), we can follow these steps:

### Step 1: Identify the nature of the salt
Ammonium chloride (NH₄Cl) is a salt formed from a strong acid (HCl) and a weak base (NH₃). When dissolved in water, it dissociates into NH₄⁺ and Cl⁻ ions.

### Step 2: Determine the relevant equilibrium
The ammonium ion (NH₄⁺) can undergo hydrolysis in water:
\[ \text{NH}_4^+ + \text{H}_2\text{O} \rightleftharpoons \text{NH}_3 + \text{H}_3\text{O}^+ \]
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