Determine `[overset(Θ)OH]` of a `0.050M` solution of ammonia to which sufficient `NH_(4) Cl` has been added to make the total `[NH_(4)^(o+)]` equal to `0.1M`. (`K_b=1.8*10^-5`)

Explanation

To determine the concentration of hydroxide ions \([OH^-]\) in a solution of ammonia mixed with ammonium chloride, we can follow these steps:

### Step 1: Write the equilibrium expression for the dissociation of ammonia
Ammonia (\(NH_3\)) acts as a weak base and can be represented in equilibrium with water as follows:

\[ NH_3 + H_2O \rightleftharpoons NH_4^+ + OH^- \]
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