The measured pH of a 0.300 M HBr solution at 25 °C is 0.632. Calculate the activity coefficient for H* in this solution. YH* = The measured pH of a 0.300 M HNO, solution at 25 °C is 0.657. Calculate the activity coefficient for H* in this solution. YH+ =

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## Calculation of Activity Coefficient for H⁺

### Problem 1:
**Measured pH of a 0.300 M HBr Solution**

The measured pH of a 0.300 M HBr solution at 25 °C is 0.632. Calculate the activity coefficient for H⁺ in this solution.

**Activity Coefficient \(\gamma_{H^+}\):**
\[ \gamma_{H^+} = \]

### Problem 2:
**Measured pH of a 0.300 M HNO₃ Solution**

The measured pH of a 0.300 M HNO₃ solution at 25 °C is 0.657. Calculate the activity coefficient for H⁺ in this solution.

**Activity Coefficient \(\gamma_{H^+}\):**
\[ \gamma_{H^+} = \]

---

### Explanation:

To calculate the activity coefficient for \( H^+ \) in these solutions, follow these steps:

1. **Determine the concentration of \( H^+ \) from the pH:**
   \[ [H^+] = 10^{-\text{pH}} \]

2. **Calculate the activity coefficient \(\gamma_{H^+}\):**
   \[ \gamma_{H^+} = \frac{[H^+]_{\text{calc}}}{[H^+]_{\text{measured}}} \]

Here,
- \([H^+]_{\text{calc}}\) is the concentration of \( H^+ \) ions assuming full dissociation.
- \([H^+]_{\text{measured}}\) is the concentration of \( H^+ \) ions derived from the measured pH.
  
For a 0.300 M solution of a strong acid like HBr or HNO₃, we assume full dissociation:
\[ \text{Initial} \ [H^+] = 0.300 \ M \]

By substituting the measured pH values into the calculations, you can find \(\gamma_{H^+}\).

---
To provide a more comprehensive understanding, these will result in numerical answers when the pH measurements are plugged into the equations.
Transcribed Image Text:## Calculation of Activity Coefficient for H⁺ ### Problem 1: **Measured pH of a 0.300 M HBr Solution** The measured pH of a 0.300 M HBr solution at 25 °C is 0.632. Calculate the activity coefficient for H⁺ in this solution. **Activity Coefficient \(\gamma_{H^+}\):** \[ \gamma_{H^+} = \] ### Problem 2: **Measured pH of a 0.300 M HNO₃ Solution** The measured pH of a 0.300 M HNO₃ solution at 25 °C is 0.657. Calculate the activity coefficient for H⁺ in this solution. **Activity Coefficient \(\gamma_{H^+}\):** \[ \gamma_{H^+} = \] --- ### Explanation: To calculate the activity coefficient for \( H^+ \) in these solutions, follow these steps: 1. **Determine the concentration of \( H^+ \) from the pH:** \[ [H^+] = 10^{-\text{pH}} \] 2. **Calculate the activity coefficient \(\gamma_{H^+}\):** \[ \gamma_{H^+} = \frac{[H^+]_{\text{calc}}}{[H^+]_{\text{measured}}} \] Here, - \([H^+]_{\text{calc}}\) is the concentration of \( H^+ \) ions assuming full dissociation. - \([H^+]_{\text{measured}}\) is the concentration of \( H^+ \) ions derived from the measured pH. For a 0.300 M solution of a strong acid like HBr or HNO₃, we assume full dissociation: \[ \text{Initial} \ [H^+] = 0.300 \ M \] By substituting the measured pH values into the calculations, you can find \(\gamma_{H^+}\). --- To provide a more comprehensive understanding, these will result in numerical answers when the pH measurements are plugged into the equations.
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