Solution
Related Formula
W = Z · I · t = (M)/(n · F) · I · twhere, W = mass deposited Z = electrochemical equivalent I = current in amperes t = time in seconds M = molar mass n = n-factor (electrons exchanged) F = Faraday's constant (96500 C/mol)
Core Logic
The electrolysis of zinc sulphate (ZnSO₄) involves the reduction of zinc ions at the cathode:
Zn⁺² + 2e^- arrow ZnHere, the n-factor (n) is 2.
Step 1: Calculation
Given values: I = 0.015 A t = 15 minutes = 15 × 60 seconds = 900 s M = 65.4 g/mol F ≈ 96500 C
Plugging the values into Faraday's First Law:
W = (65.4)/(2 × 96500) × 0.015 × 15 × 60 W = (65.4)/(193000) × 13.5 W = 3.3886 × 10⁻⁴ × 13.5 W = 45.746 × 10⁻⁴ gRounding to two decimal places (or nearest integer depending on convention), we get 45.75 × 10⁻⁴ g.
Chapter Mix
Class 12 Chemistry: Electrochemistry