What Is the Faraday’s Law Water Electrolyzer Hydrogen Production Calculator?
Faraday’s Law calculates the stoichiometric yield of hydrogen produced at the cathode during water electrolysis.
How Does the Faraday’s Law Water Electrolyzer Hydrogen Production Calculator Work?
Every mole of H2 requires 2 moles of electrons (z = 2) transferred across the electrochemical double layer.
Faraday’s Law Water Electrolyzer Hydrogen Production Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
m_{H_2} = \frac{\eta_F \cdot I \cdot t \cdot N \cdot M_{H_2}}{z \cdot F}, \quad V_{H_2} = n_{H_2} \times 0.022414 \text{ Nm}^3/\text{mol}
Faraday equation for electrochemical hydrogen evolution reaction.
How to Use the Faraday’s Law Water Electrolyzer Hydrogen Production Calculator
- Input DC current, number of cells in the stack, run hours, and Faradaic efficiency.
Step-by-Step Example Calculation
Industrial PEM Electrolyzer Stack
Input Values:
cellCurrentAmps:500
numberOfCells:20
operatingHours:8
faradaicEfficiencyPercent:98
Worked Steps: Generates 2.946 kg of H2 (~32.76 Nm³) over an 8-hour shift at 0.368 kg/h.
Understanding Your Result
Shows total mass in kg, volume in normal cubic meters (Nm³), and hourly production rate.
Factors That Affect the Result
- Higher stack current and cell count scale production linearly.
When Should You Use This Calculator?
- Green hydrogen plant sizing, electrolyzer power matching with solar/wind, and hydrogen fueling stations.
Assumptions & Limitations
- Normal cubic meters evaluated at 0 °C and 1.01325 bar.
Frequently Asked Questions
Calculation Accuracy & Reference Note
Standard chemical stoichiometry formulation per Faraday constant F = 96,485 C/mol.