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How long (in minutes) must a 2 A current be passed through AgNO ₃ solution to deposit 5.4 g Ag ? [Molar mass of Ag = 108 g mol ⁻¹ ]

Options

  1. A40.2 min .
  2. B54.5 min .
  3. C30.1 min .
  4. D60.6 min .

Correct answer

A. 40.2 min .

Step-by-step solution

According to Faraday's first law of electrolysis: m = E I t 96500 Here, m = 5.4 g , I = 2 A , and equivalent weight of Ag, E = 108 1 = 108 g eq ⁻¹ . Substituting the values: 5.4 = 108 2 t 96500 t = 5.4 96500 108 2 t = 2412.5 s Converting time into minutes: t = 2412.5 60 min 40.2 min Answer: 40.2 min .

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