**Educational Text: Calculation of Activity Coefficient using the Debye-Hückel Equation**The Debye-Hückel equation is used to calculate the activity coefficient (\( \gamma \)) for ions in a solution at a given ionic strength (\( \mu \)) and temperature. The following exercises require you to determine \( \gamma \) for specific ions using the given data:**1. Rb\(^+\) Ion:**- **Given:** - Ionic strength (\( \mu \)) = 0.418 M- **Ion Size (α):** - Rb\(^+\) = 250 pm- **Required:** - Calculate \( \gamma \) for Rb\(^+\).\[ \gamma = \text{(To be calculated)} \]**2. Ba\(^{2+}\) Ion:**- **Given:** - Ionic strength (\( \mu \)) = 0.153 M- **Ion Size (α):** - Ba\(^{2+}\) = 500 pm- **Required:** - Calculate \( \gamma \) for Ba\(^{2+}\).\[ \gamma = \text{(To be calculated)} \]**Table: Ion Sizes**| Ion | Ion Size (\( \alpha \), pm) ||-------|-----------------------------|| Ca\(^{2+}\), Sn\(^{2+}\) | 600 || Ba\(^{2+}\) | 500 || SO\(_4^{2-}\) | 400 || OH\(^-\), SCN\(^-\) | 350 || CN\(^-\) | 300 || Rb\(^+\) | 250 |This table provides the necessary ion sizes (\( \alpha \)) in picometers (pm) to apply the Debye-Hückel equation efficiently. Use this information to complete the calculations accurately.

Given that : According to Debye-Huckel equation : log γi=-0.51×Zi2×μ1+3.28αi×μHere γi=activity…

Use the Debye-Hückel equation to calculate the activity Ion Ion size (a, pm) coefficient (y) for each of the ions at the given ionic strength ( Ca2+, Sn²+ 600 H) at 25 °C. Refer to the table for the ion size (a). Ba 2+ 500 Rb* when u = 0.418 M so OH", SCN 400 350 CN 300 Rb+ 250 Bat when u = 0.153 M Y =

Use the Debye-Hückel equation to calculate the activity Ion Ion size (a, pm) coefficient (y) for each of the ions at the given ionic strength ( Ca2+, Sn²+ 600 H) at 25 °C. Refer to the table for the ion size (a). Ba 2+ 500 Rb* when u = 0.418 M so OH", SCN 400 350 CN 300 Rb+ 250 Bat when u = 0.153 M Y =

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

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Question

**Educational Text: Calculation of Activity Coefficient using the Debye-Hückel Equation**

The Debye-Hückel equation is used to calculate the activity coefficient (\( \gamma \)) for ions in a solution at a given ionic strength (\( \mu \)) and temperature. The following exercises require you to determine \( \gamma \) for specific ions using the given data:

**1. Rb\(^+\) Ion:**
- **Given:**
- Ionic strength (\( \mu \)) = 0.418 M
- **Ion Size (α):**
- Rb\(^+\) = 250 pm
- **Required:**
- Calculate \( \gamma \) for Rb\(^+\).

\[ \gamma = \text{(To be calculated)} \]

**2. Ba\(^{2+}\) Ion:**
- **Given:**
- Ionic strength (\( \mu \)) = 0.153 M
- **Ion Size (α):**
- Ba\(^{2+}\) = 500 pm
- **Required:**
- Calculate \( \gamma \) for Ba\(^{2+}\).

\[ \gamma = \text{(To be calculated)} \]

**Table: Ion Sizes**

| Ion | Ion Size (\( \alpha \), pm) |
|-------|-----------------------------|
| Ca\(^{2+}\), Sn\(^{2+}\) | 600 |
| Ba\(^{2+}\) | 500 |
| SO\(_4^{2-}\) | 400 |
| OH\(^-\), SCN\(^-\) | 350 |
| CN\(^-\) | 300 |
| Rb\(^+\) | 250 |

This table provides the necessary ion sizes (\( \alpha \)) in picometers (pm) to apply the Debye-Hückel equation efficiently. Use this information to complete the calculations accurately.

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