What is the percent ionization of a 0.0075 M solution of ammonia? K₂(NH3) = 1.8 x 10-5 [?] % % lonization Enter

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**Understanding Percent Ionization of Ammonia**

**Question:**
What is the percent ionization of a 0.0075 M solution of ammonia?

**Given:**
\( K_b(\text{NH}_3) = 1.8 \times 10^{-5} \)

**Solution:**
To calculate the percent ionization, follow these steps:

1. **Write the equilibrium expression for the ionization of ammonia:**
   \[
   \text{NH}_3 + \text{H}_2\text{O} \rightleftharpoons \text{NH}_4^+ + \text{OH}^-
   \]

2. **Set up the expression for the base ionization constant (\(K_b\)):**
   \[
   K_b = \frac{[\text{NH}_4^+][\text{OH}^-]}{[\text{NH}_3]}
   \]

3. **Assume a small degree of ionization (x):**
   Let \(x\) be the change in concentration.
   \[
   0.0075 - x \approx 0.0075
   \]

4. **Plug in the values into the \(K_b\) expression:**
   \[
   1.8 \times 10^{-5} = \frac{x^2}{0.0075}
   \]

5. **Solve for \(x\):**
   \[
   x^2 = 1.8 \times 10^{-5} \times 0.0075
   \]
   \[
   x^2 = 1.35 \times 10^{-7}
   \]
   \[
   x = \sqrt{1.35 \times 10^{-7}}
   \]
   \[
   x \approx 3.67 \times 10^{-4}
   \]

6. **Calculate the percent ionization:**
   \[
   \text{Percent ionization} = \left( \frac{x}{0.0075} \right) \times 100\%
   \]
   \[
   \text{Percent ionization} = \left( \frac{3.67 \times 10^{-4}}{0.0075} \right) \times 100
   \]
   \[
   \text{Percent ionization} \approx
Transcribed Image Text:**Understanding Percent Ionization of Ammonia** **Question:** What is the percent ionization of a 0.0075 M solution of ammonia? **Given:** \( K_b(\text{NH}_3) = 1.8 \times 10^{-5} \) **Solution:** To calculate the percent ionization, follow these steps: 1. **Write the equilibrium expression for the ionization of ammonia:** \[ \text{NH}_3 + \text{H}_2\text{O} \rightleftharpoons \text{NH}_4^+ + \text{OH}^- \] 2. **Set up the expression for the base ionization constant (\(K_b\)):** \[ K_b = \frac{[\text{NH}_4^+][\text{OH}^-]}{[\text{NH}_3]} \] 3. **Assume a small degree of ionization (x):** Let \(x\) be the change in concentration. \[ 0.0075 - x \approx 0.0075 \] 4. **Plug in the values into the \(K_b\) expression:** \[ 1.8 \times 10^{-5} = \frac{x^2}{0.0075} \] 5. **Solve for \(x\):** \[ x^2 = 1.8 \times 10^{-5} \times 0.0075 \] \[ x^2 = 1.35 \times 10^{-7} \] \[ x = \sqrt{1.35 \times 10^{-7}} \] \[ x \approx 3.67 \times 10^{-4} \] 6. **Calculate the percent ionization:** \[ \text{Percent ionization} = \left( \frac{x}{0.0075} \right) \times 100\% \] \[ \text{Percent ionization} = \left( \frac{3.67 \times 10^{-4}}{0.0075} \right) \times 100 \] \[ \text{Percent ionization} \approx
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