Concentration of Cathodic Electrolyte of Concentration Cell without Transference Calculator

Formula Used:

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

EMF of Cell:

Temperature:

Anodic Concentration:

mol/m³

Anodic Fugacity:

Cathodic Fugacity:

Cathodic Concentration (mol/m³):

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1. What is Concentration of Cathodic Electrolyte?

Definition: This calculator determines the concentration of electrolyte in the cathodic half-cell of a concentration cell without transference.

Purpose: It helps electrochemists and researchers analyze concentration cells and understand the relationship between cell potential and electrolyte concentrations.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: The formula relates the cell potential to the concentration ratio of electrolytes in the two half-cells, accounting for fugacity effects.

3. Importance of Cathodic Concentration Calculation

Details: Accurate determination of electrolyte concentrations is crucial for understanding cell behavior, predicting reaction outcomes, and designing electrochemical systems.

4. Using the Calculator

Tips: Enter the cell EMF in volts, temperature in Kelvin, anodic concentration in mol/m³, and both fugacity values in Pascals. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is a concentration cell without transference?
A: It's an electrochemical cell where both half-cells contain the same electrolyte but at different concentrations, without a salt bridge.

Q2: Why is temperature important in this calculation?
A: Temperature affects the exponential term in the Nernst equation, significantly influencing the concentration ratio.

Q3: What if I don't know the fugacity values?
A: For ideal solutions, fugacity can be approximated by pressure. For accurate results, experimental fugacity data should be used.

Q4: What are typical values for the EMF of such cells?
A: Typically ranges from a few millivolts to about 0.1V, depending on concentration differences.

Q5: Can this calculator be used for other types of cells?
A: This specific formula applies to concentration cells without transference. Different equations are needed for other cell types.