Fugacity of Anodic Electrolyte of Concentration Cell without Transference Calculator

Anodic Fugacity Formula:

\[ f_1 = \frac{\frac{c_2 \times f_2}{c_1}}{\exp\left(\frac{EMF \times F}{2 \times R \times T}\right)} \]

Cathodic Concentration:

mol/m³

Cathodic Fugacity:

Anodic Concentration:

mol/m³

EMF of Cell:

Temperature:

Anodic Fugacity (Pa):

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1. What is Anodic Fugacity in a Concentration Cell?

Definition: Anodic fugacity is a thermodynamic property that represents the "effective pressure" of the electrolyte in the anodic half-cell of a concentration cell without transference.

Purpose: This calculator determines the fugacity of the anodic electrolyte based on the cell's EMF, temperature, and concentrations of electrolytes in both half-cells.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ f_1 = \frac{\frac{c_2 \times f_2}{c_1}}{\exp\left(\frac{EMF \times F}{2 \times R \times T}\right)} \]

Where:

\( f_1 \) — Anodic fugacity (Pa)
\( c_2 \) — Cathodic concentration (mol/m³)
\( f_2 \) — Cathodic fugacity (Pa)
\( c_1 \) — Anodic concentration (mol/m³)
\( EMF \) — Electromotive force of the cell (V)
\( F \) — Faraday constant (96485.33212 C/mol)
\( R \) — Universal gas constant (8.314 J/(mol·K))
\( T \) — Temperature (K)

Explanation: The formula relates the fugacities of electrolytes in both half-cells to the cell potential and temperature.

3. Importance of Anodic Fugacity Calculation

Details: Calculating anodic fugacity helps in understanding the thermodynamic behavior of concentration cells and predicting their performance under different conditions.

4. Using the Calculator

Tips: Enter all required values in appropriate units. Temperature defaults to 298K (standard conditions). All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is fugacity in electrochemical terms?
A: Fugacity represents the effective pressure of a real gas or solution component, accounting for non-ideal behavior.

Q2: Why is temperature important in this calculation?
A: Temperature affects the exponential term in the Nernst equation, which is fundamental to this calculation.

Q3: What does "without transference" mean?
A: It means the cell has no liquid junction potential and ions don't migrate between half-cells.

Q4: How do I measure the EMF of the cell?
A: Use a high-impedance voltmeter connected to the cell's electrodes under zero-current conditions.

Q5: What are typical values for electrolyte concentrations?
A: Common values range from 0.1 to 10 mol/m³, but this depends on the specific electrochemical system.