**Calculate the Activity Coefficient of Co²⁺ Using Linear Interpolation and Debye-Hückel Equation****Objective:**Calculate the activity coefficient, γ, of Co²⁺ when the ionic strength of the solution, μ, is 0.0069 M by using linear interpolation of the data provided in the table. Additionally, determine the activity coefficient using the extended Debye-Hückel equation at 25 °C, considering the ion size is 600 pm.**Table Data:**| Ionic Strength (μ, M) | Activity Coefficient (γCo²⁺) ||-----------------------|------------------------------|| 0.001 | 0.870 || 0.005 | 0.749 || 0.01 | 0.675 || 0.05 | 0.485 || 0.1 | 0.405 |**Instructions:**1. **Linear Interpolation**: - To find the activity coefficient at μ = 0.0069 M, perform linear interpolation using the data points from the table.2. **Extended Debye-Hückel Calculation**: - Use the Debye-Hückel equation to calculate γCo²⁺ at 25 °C with an ion size of 600 pm.**Forms for Calculation:**- For Linear Interpolation: γCo²⁺ = [ ______ ]- For Debye-Hückel Calculation: γCo²⁺ = [ ______ ]

Given:Ionic strength of the solution = 0.069 MIon size = 600 pmCharge = +2Ionic strength is a…

Calculate the activity coefficient, y, of Co2 + when the ionic strength of the solution, μ, is 0.069 M by linear interpolation of the data in the table. Y Co²+ = Calculate the activity coefficient, y, of Co² + when the ionic strength of the solution, μ, is 0.069 M by using the extended Debye-Hückel equation at 25 °C, where the ion size is 600 pm. Y Co² =

Calculate the activity coefficient, y, of Co2 + when the ionic strength of the solution, μ, is 0.069 M by linear interpolation of the data in the table. Y Co²+ = Calculate the activity coefficient, y, of Co² + when the ionic strength of the solution, μ, is 0.069 M by using the extended Debye-Hückel equation at 25 °C, where the ion size is 600 pm. Y Co² =

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

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

**Calculate the Activity Coefficient of Co²⁺ Using Linear Interpolation and Debye-Hückel Equation**

**Objective:**

Calculate the activity coefficient, γ, of Co²⁺ when the ionic strength of the solution, μ, is 0.0069 M by using linear interpolation of the data provided in the table. Additionally, determine the activity coefficient using the extended Debye-Hückel equation at 25 °C, considering the ion size is 600 pm.

**Table Data:**

| Ionic Strength (μ, M) | Activity Coefficient (γCo²⁺) |
|-----------------------|------------------------------|
| 0.001 | 0.870 |
| 0.005 | 0.749 |
| 0.01 | 0.675 |
| 0.05 | 0.485 |
| 0.1 | 0.405 |

**Instructions:**

1. **Linear Interpolation**:
- To find the activity coefficient at μ = 0.0069 M, perform linear interpolation using the data points from the table.

2. **Extended Debye-Hückel Calculation**:
- Use the Debye-Hückel equation to calculate γCo²⁺ at 25 °C with an ion size of 600 pm.

**Forms for Calculation:**

- For Linear Interpolation:
γCo²⁺ = [ ______ ]

- For Debye-Hückel Calculation:
γCo²⁺ = [ ______ ]

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