Physics / Faraday's Electrolysis
FREE TO EXPLORE
EXPERIMENT 49 · PHYSICS LABORATORY

Faraday's Law of Electrolysis: Electrochemical Equivalent of Copper and the Faraday Constant

To verify Faraday's first law of electrolysis by measuring the mass of copper deposited on the cathode of a copper voltameter as a function of total electric charge, determine the electrochemical equivalent of copper (Z) and the Faraday constant (F), and estimate Avogadro's number. Explore a virtual apparatus, collect readings and analyse a graph.

CHANGE · OBSERVE · MEASURE

Your virtual workbench.

DEPOSITED COPPER MASS M—
MEASUREMENT STATUS

Ready for a virtual observation.

1800.0 C
Electrolyte composition: 150 g CuSO₄ · 5H₂O, 50 g H₂SO₄, 50 ml ethanol per liter distilled water

Adjust the apparatus, then take a reading.

Timing is generated from the model; a short on-screen trial represents a longer physical interval. Animation is illustrative.

Simulation assumptions and limits

Calculations assume 100% current efficiency with zero hydrogen gas co-evolution, negligible cuprous ion (Cu⁺) intermediate formation, and ideal analytical balance precision without atmospheric oxidation. Real voltameter deposits can suffer mass loss if spongy dendrites flake off during washing or mass gain if residual sulfate salts are incompletely rinsed or if high-temperature drying oxidizes copper into Cu₂O.

Know your apparatus.

Copper Voltameter Electrolytic Cell

Provides a heavy-walled glass electrolytic vessel with an insulating crossbar supporting two outer electrolytic copper anode plates and a central removable cathode plate immersed in acidified copper sulfate electrolyte solution.

Four-Decimal Analytical Chemical Balance

Measures the mass of the clean, dry copper cathode plate before and after electrolysis with 0.0001 g (0.1 mg) resolution and high repeatability.

Regulated DC Power Supply and Sliding Rheostat

Provides an adjustable, filtered direct-current source (0–30 V, 0–3 A) paired with a heavy wirewound rheostat to maintain a strictly constant current (I = 1.000 A) throughout each deposition trial.

Precision Digital DC Ammeter

Measures and monitors the electrolysis current with 0.001 A resolution (accuracy ±0.2%) to verify constant charge delivery rate.

Digital Laboratory Chronometer / Timer

Times the duration of electrolysis with 0.01 s precision, enabling exact computation of the total electrical charge Q = I · t.

Cathode Washing and Desiccating Station

Supplies distilled water wash bottles, high-purity ethanol rinsing baths, and a warm-air desiccator to rinse and dry the deposited copper cathode without surface oxidation prior to weighing.

FOLLOW THE METHOD

A reason behind every step.

To verify Faraday's first law of electrolysis by measuring the mass of copper deposited on the cathode of a copper voltameter as a function of total electric charge, determine the electrochemical equivalent of copper (Z) and the Faraday constant (F), and estimate Avogadro's number. Suggested independent settings: 600.0, 1200.0, 1800.0, 2400.0, 3000.0, 3600.0 C.

1

Cathode Preparation and Initial Tare Weighing

Clean the copper cathode plate thoroughly using fine emery cloth to remove any oxide film, rinse in distilled water, dip in pure ethanol, and dry gently in a warm-air stream. Once cooled to room temperature, weigh the dry cathode plate on the four-decimal analytical balance and record its initial tare mass m₀ to the nearest 0.0001 g.

Why this step matters

A spotless metallic surface free of grease and oxide is essential for uniform crystalline adherence of deposited copper, while exact initial mass determines the net deposited gain.

2

Circuit Assembly and Pre-Adjustment of Current

Connect the circuit in series: DC power supply positive terminal to the voltameter anode plates, central cathode terminal to the digital ammeter, and ammeter through the rheostat and knife switch back to the negative terminal. Insert a dummy test plate, close the switch, adjust the rheostat until the current reads exactly I = 1.000 A, then open the switch and replace the dummy with the weighed cathode.

Why this step matters

Pre-adjusting the current with a sacrificial plate ensures that the experimental cathode experiences a perfectly constant current from the exact moment the circuit is energized.

3

Timed Electrolysis and Charge Accumulation

Simultaneously close the knife switch and start the digital chronometer. Monitor the ammeter continuously, making micro-adjustments to the rheostat if needed to maintain current at precisely 1.000 A. Run the electrolysis for an initial duration of 10.0 minutes (t = 600 s, delivering charge Q = 600 C), then open the knife switch and stop the timer simultaneously.

Why this step matters

Simultaneous switching and timing guarantees that total electric charge Q = I · t is recorded with negligible timing latency error.

4

Cathode Rinsing, Drying, and Post-Deposition Weighing

Carefully remove the cathode by its stem, handling it only by the dry upper clamp edge. Gently rinse it in a gentle stream of distilled water, immerse in ethanol to displace residual water, and dry in a desiccated warm-air stream for 3 minutes. Allow it to reach thermal equilibrium, weigh on the analytical balance, and record final mass m₁.

Why this step matters

Ethanol displaces water and evaporates rapidly, preventing the warm moist copper from oxidizing into cuprous or cupric oxides that would inflate the measured mass.

5

Sequential Deposition Runs Across Increasing Charge Levels

Repeat the electrolysis procedure for cumulative durations of 20.0 min (1200 C), 30.0 min (1800 C), 40.0 min (2400 C), 50.0 min (3000 C), and 60.0 min (3600 C), cleaning, drying, and re-weighing the cathode after each run to record the net deposited copper mass m = m₁ − m₀.

Why this step matters

Sampling six evenly spaced charge levels spanning 600 C to 3600 C provides robust statistical leverage across the entire working domain.

6

Linear Regression and Fundamental Constants Extraction

Tabulate the total charge Q (in Coulombs) on the horizontal axis and the deposited copper mass m (in grams) on the vertical axis. Compute ordinary least-squares regression to determine slope Z and intercept b. Calculate the Faraday constant as F = M / (2Z) and Avogadro's number as N_A = F / e.

Why this step matters

Linear regression over all six charge levels averages out microbalance rounding and washing losses, yielding an unbiased estimate of the electrochemical equivalent Z.

YOUR NOTEBOOK · 0 OBSERVATIONS

Turn measurements into a result.

See a complete example report ↗

Points are your observations. The fit uses SI x and y values before display scaling.

LINEAR FIT · y = mx + b
m = Z · Q + b; Z = m_slope, F = M / (n Z)
#Electric charge Q (C)Deposited copper mass m (g)Electric charge Q (C)Deposited copper mass m (g)Remove

No readings yet. Take a virtual measurement and record it.

Calculate it yourself.

CHECK YOUR UNDERSTANDING

Explain what the measurements mean.

A steady current of 1.000 A is passed through a copper voltameter for 30.0 minutes (1800 s). Given that the electrochemical equivalent of copper is Z = 0.3293 mg/C, what is the mass of copper deposited on the cathode?

What fundamental physical constant can be directly calculated by dividing the Faraday constant F by the elementary electric charge e?

If the current density at the cathode in a copper voltameter is set too high (> 25 mA/cm²), what unwanted chemical side-reaction occurs?

If a copper voltameter (divalent Cu²⁺, M = 63.55 g/mol) and a silver voltameter (monovalent Ag⁺, M = 107.87 g/mol) are connected in series, what is the ratio of silver mass deposited to copper mass deposited (m_Ag / m_Cu)?