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.
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.
1Cathode 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.
2Circuit 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.
3Timed 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.
4Cathode 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.
5Sequential 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.
6Linear 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.