A brass plate with a surface area of 200 cm ^2 on one side is electroplated with 0.10 mm thick silver layers on both sides using a 15 A current. Determine the time taken to complete the job. The specific gravity of silver is 10.5 and its atomic weight is 107.9 g mol ⁻¹ .

Step-by-step solution

Total surface area to be electroplated (both sides) = 2 200 = 400 cm ^2 Thickness of the silver layer = 0.10 mm = 0.01 cm Volume of silver deposited = Area Thickness = 400 0.01 = 4 cm ^3 Mass of silver deposited, m = Volume Density = 4 10.5 = 42 g According to Faraday's first law of electrolysis: m = M nF I t For silver, the valency n = 1 . Substituting the given values: 42 = 107.9 1 96500 15 t t = 42 96500 107.9 15 s Converting the time into minutes: t = 42 96500 107.9 15 60 min t = 4053000 97110 min 41.73 min Rou