Consider the titration of 50.0 mL of 0.20 M NH3 (Kp = 1.8 × 10¬³) with 0.20 M HNO3. Calculate the pH after addition of 50.0 mL of the titrant at 25 °C. Express the pH numerically. • View Available Hint(s) ? pH =

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Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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### Problem Statement

Consider the titration of 50.0 mL of 0.20 M NH₃ (K_b = 1.8 × 10⁻⁵) with 0.20 M HNO₃. Calculate the pH after the addition of 50.0 mL of the titrant at 25 °C.

**Express the pH numerically.**

#### Solution Box

- A text box is provided for entering the calculated pH value.

#### Notes

- A supplementary "View Available Hint(s)" option is available for assistance.
  
#### Calculation Tools

- Mathematical symbols (√ for square root, Σ for summation) are indicated via buttons.
- Options for resetting or accessing a virtual keyboard are present.

### Important Details

- pH: Measure of the acidity or basicity of a solution.
- Titration: Process where a solution of known concentration is used to determine the concentration of an unknown solution.
- NH₃ (Ammonia): A weak base with a given K_b value.
- HNO₃ (Nitric Acid): A strong acid.

### Graphs/Diagrams

No graphs or diagrams are included in this problem.
Transcribed Image Text:### Problem Statement Consider the titration of 50.0 mL of 0.20 M NH₃ (K_b = 1.8 × 10⁻⁵) with 0.20 M HNO₃. Calculate the pH after the addition of 50.0 mL of the titrant at 25 °C. **Express the pH numerically.** #### Solution Box - A text box is provided for entering the calculated pH value. #### Notes - A supplementary "View Available Hint(s)" option is available for assistance. #### Calculation Tools - Mathematical symbols (√ for square root, Σ for summation) are indicated via buttons. - Options for resetting or accessing a virtual keyboard are present. ### Important Details - pH: Measure of the acidity or basicity of a solution. - Titration: Process where a solution of known concentration is used to determine the concentration of an unknown solution. - NH₃ (Ammonia): A weak base with a given K_b value. - HNO₃ (Nitric Acid): A strong acid. ### Graphs/Diagrams No graphs or diagrams are included in this problem.
### Titration Curve Analysis

This graph represents a titration curve, showing the relationship between pH and the volume of 0.100 M NaOH solution added.

**Axes Description:**
- **X-axis:** Represents the volume of 0.100 M NaOH added, measured in milliliters (mL). The scale ranges from 0 to 80 mL.
- **Y-axis:** Represents the pH of the solution, with values ranging from 0 to 14.

**Curve Description:**
- Initially, the curve is relatively flat with a low pH, indicating the presence of an acidic solution.
- As NaOH is added, the pH gradually increases.
- The curve shows a sharp rise at around 40.0 mL of NaOH added. This steep section indicates the rapid pH change around the equivalence point.
- After passing the equivalence point, the curve becomes flatter again as the solution becomes more basic.

**Equivalence Point:**
- The equivalence point is marked on the graph at around 40.0 mL, where the amount of acid equals the amount of base added. This is where the pH changes most rapidly.
- It is indicated by a blue dot with the label "Equivalence point."

### Educational Insight
In a titration, the equivalence point is crucial for determining the concentration of an unknown solution. The sharp increase in pH helps identify this point accurately, highlighting the stoichiometric completion of the reaction between the acid and the base.
Transcribed Image Text:### Titration Curve Analysis This graph represents a titration curve, showing the relationship between pH and the volume of 0.100 M NaOH solution added. **Axes Description:** - **X-axis:** Represents the volume of 0.100 M NaOH added, measured in milliliters (mL). The scale ranges from 0 to 80 mL. - **Y-axis:** Represents the pH of the solution, with values ranging from 0 to 14. **Curve Description:** - Initially, the curve is relatively flat with a low pH, indicating the presence of an acidic solution. - As NaOH is added, the pH gradually increases. - The curve shows a sharp rise at around 40.0 mL of NaOH added. This steep section indicates the rapid pH change around the equivalence point. - After passing the equivalence point, the curve becomes flatter again as the solution becomes more basic. **Equivalence Point:** - The equivalence point is marked on the graph at around 40.0 mL, where the amount of acid equals the amount of base added. This is where the pH changes most rapidly. - It is indicated by a blue dot with the label "Equivalence point." ### Educational Insight In a titration, the equivalence point is crucial for determining the concentration of an unknown solution. The sharp increase in pH helps identify this point accurately, highlighting the stoichiometric completion of the reaction between the acid and the base.
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