An electroplating unit deposits 3.0 g of silver onto a brass plate over a period of 3.0 minutes. Determine the current utilised by the unit. The electrochemical equivalent of silver is 1.12 10⁻⁶ kg C ⁻¹ .

Step-by-step solution

According to Faraday's first law of electrolysis, the mass deposited is given by m = ZIt , where Z is the electrochemical equivalent, I is the current, and t is the time. Given: m = 3.0 g = 3.0 10⁻³ kg t = 3.0 minutes = 3.0 60 s = 180 s Z = 1.12 10⁻⁶ kg C ⁻¹ Substituting the values into the formula: I = m Zt I = 3.0 10⁻³ 1.12 10⁻⁶ 180 I = 3000 201.6 14.9 A